Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 解析数理講座, 講師

Academic Degree

• Master of Science(Kyoto University)
• Doctor of Science(Kyoto University)

Language of Instruction

• English
• Japanese

ID,URL

• ORCID ID

  0000-0003-2521-9976

• J-Global ID

  201401033346065277

researchmap URL

• https://researchmap.jp/nobu-1234-kishimoto

Research

Research Topics, Overview of the research

• Research Topics

  Nonlinear dispersive partial differential equations: well-posedness and properties of solutions of the initial value problem (such as scattering to linear solutions, finite time blowup, smoothing effect, unconditional uniqueness)

• Overview of the research

  He is working on nonlinear partial differential equations, especially nonlinear dispersive equations. Mainly taking the harmonic and real analytic approach, he studies various properties of solutions of the initial value problems such as local- and global-in-time well-posedness (i.e., existence, uniqueness of solutions and continuous dependence on initial data), scattering to linear solutions, finite time blowup, unconditional uniqueness and so on. In particular, his main interest is to control the nonlinearity by exploiting the dispersive smoothing effect and the specific structure (symmetry) of the nonlinearity. Although many equations he studies have physical backgrounds, his research is purely theoretical without relying on numerical simulations or experiments.

Research Interests

• Well-posedness
• Nonlinear dispersive equations
• Partial differential equations

Research Areas

• Natural sciences, Mathematical analysis

Papers

• Local well-posedness for the kinetic derivative nonlinear Schrödinger equation on the real line

  Nobu Kishimoto; Yoshio Tsutsumi

  Advanced Studies in Pure Mathematics (to appear), Jan. 2024, Peer-reviewed, Invited

  
• Gauge transformation for the kinetic derivative nonlinear Schrödinger equation on the torus

  Nobu Kishimoto; Yoshio Tsutsumi

  preprint, Jun. 2023

  
• Low regularity a priori estimate for KDNLS via the short-time Fourier restriction method

  Nobu Kishimoto; Yoshio Tsutsumi

  Advances in Continuous and Discrete Models, 06 Feb. 2023, Peer-reviewed

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• Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes

  Nobu Kishimoto; Tsuyoshi Yoneda

  Journal of Mathematical Fluid Mechanics, Aug. 2022, Peer-reviewed

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• Well-posedness of the Cauchy problem for the kinetic DNLS on T

  Nobu Kishimoto; Yoshio Tsutsumi

  Journal of Hyperbolic Differential Equations, Mar. 2023, Peer-reviewed

  
• Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach

  Nobu Kishimoto

  International Mathematics Research Notices, 06 Aug. 2022, Peer-reviewed

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• Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations

  Andreia Chapouto; Nobu Kishimoto

  Transactions of the American Mathematical Society, 28 Sep. 2022, Peer-reviewed

  
• Unconditional local well-posedness for periodic NLS

  Nobu Kishimoto

  Journal of Differential Equations, Feb. 2021, Peer-reviewed

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• A priori bounds for the kinetic DNLS

  Nobu Kishimoto; Yoshio Tsutsumi

  2019-20 MATRIX Annals, 2021, Invited

  
• Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance

  Takahisa Inui; Nobu Kishimoto; Kuranosuke Nishimura

  Nonlinear Analysis, Sep. 2020, Peer-reviewed

  
• Remarks on periodic Zakharov systems

  Nobu Kishimoto

  Electronic Journal of Differential Equations, 18 Mar. 2022, Peer-reviewed

  
• Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili Ⅱ equation in the anisotropic Sobolev space

  Nobu Kishimoto; Minjie Shan; Yoshio Tsutsumi

  Discrete & Continuous Dynamical Systems - A, 2020, Peer-reviewed

  
• Gevrey well-posedness and ill-posedness of third-order nonlinear Schrödinger equations on the torus

  Nobu Kishimoto

  RIMS Kôkyûroku Bessatsu, Dec. 2021, Invited

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• Ill-posedness of the Third Order NLS with Raman Scattering Term in Gevrey Spaces

  N. Kishimoto; Y. Tsutsumi

  Mathematics of Wave Phenomena, Trends in Mathematics, 2020, Peer-reviewed, Invited

  
• Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach

  Nobu Kishimoto

  Journal of Mathematical Analysis and Applications, Oct. 2022, Peer-reviewed

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• Unconditional uniqueness of solutions for nonlinear dispersive equations

  Nobu Kishimoto

  preprint, Jul. 2021

  
• Localization estimate and global attractor for the damped and forced Zakharov-Kuznetsov equation in R2

  N. Kishimoto; M. Shan; Y. Tsutsumi

  Dynamics of Partial Differential Equations, Aug. 2019, Peer-reviewed

  
• A remark on norm inflation for nonlinear Schrödinger equations

  N. Kishimoto

  Communications on Pure and Applied Analysis, May 2019, Peer-reviewed

  
• Dispersive limits for some perturbations of the NLS equation

  M. Darwich; N. Kishimoto; L. Molinet

  Monatshefte für Mathematik, Apr. 2019, Peer-reviewed

  
• Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition

  Takahisa Inui; Nobu Kishimoto; Kuranosuke Nishimura

  Discrete & Continuous Dynamical Systems - A, 2019, Peer-reviewed

  
• Ill-posedness of the third order NLS equation with Raman scattering term

  N. Kishimoto; Y. Tsutsumi

  Mathematical Research Letters, Sep. 2018, Peer-reviewed

  
• 

  Uniform local well-posedness for the one-dimensional cubic Schrödinger equation perturbed by third-order dispersion and derivative nonlinearity

  N. Kishimoto

  preprint, 2018

  
• Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain

  Nobu Kishimoto; Tsuyoshi Yoneda

  Mathematische Annalen, 25 Oct. 2017, Peer-reviewed

  
• A number theoretical observation of a resonant interaction of Rossby waves

  Nobu Kishimoto; Tsuyoshi Yoneda

  Kodai Mathematical Journal, Mar. 2017, Peer-reviewed

  
• Well-posedness for a quadratic derivative nonlinear Schrodinger system at the critical regularity

  Masahiro Ikeda; Nobu Kishimoto; Mamoru Okamoto

  JOURNAL OF FUNCTIONAL ANALYSIS, Aug. 2016, Peer-reviewed

  
• Remark on the periodic mass critical nonlinear Schrödinger equation

  Nobu Kishimoto

  Proceedings of the American Mathematical Society, Aug. 2014, Peer-reviewed

  
• RESONANT DECOMPOSITION AND THE I-METHOD FOR THE TWO-DIMENSIONAL ZAKHAROV SYSTEM

  Nobu Kishimoto

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Sep. 2013, Peer-reviewed

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• Construction of blow-up solutions for Zakharov system on T-2

  Nobu Kishimoto; Masaya Maeda

  ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, Sep. 2013, Peer-reviewed

  
• Local well-posedness for the Zakharov system on the multidimensional torus

  Nobu Kishimoto

  JOURNAL D ANALYSE MATHEMATIQUE, Apr. 2013, Peer-reviewed

  
• Sharp local well-posedness for the "good" Boussinesq equation

  Nobu Kishimoto

  Journal of Differential Equations, 15 Mar. 2013, Peer-reviewed

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• Remark on the paper “Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation” by I. Bejenaru and T. Tao

  N. Kishimoto

  Atlantic Electronic Journal of Mathematics, Jan. 2011, Peer-reviewed

  
• Local Well-posedness Results for 1-D Quadratic Nonlinear Schrödinger Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)

  Nobu Kishimoto

  RIMS Kôkyûroku Bessatsu, Dec. 2010, Peer-reviewed

  
• Well-posedness of the Cauchy problem for the KdV equation at the critical regularity (Harmonic Analysis and Nonlinear Partial Differential Equations)

  Nobu Kishimoto

  RIMS Kôkyûroku Bessatsu, Jun. 2010, Peer-reviewed

  
• LOCAL WELL-POSEDNESS FOR QUADRATIC NONLINEAR SCHRODINGER EQUATIONS AND THE "GOOD" BOUSSINESQ EQUATION

  Nobu Kishimoto; Kotaro Tsugawa

  DIFFERENTIAL AND INTEGRAL EQUATIONS, May 2010, Peer-reviewed

  
• Counterexamples to Bilinear Estimates for the Korteweg-de Vries Equation in the Besov-Type Bourgain Space

  Nobu Kishimoto

  FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, Apr. 2010, Peer-reviewed

  
• Well-posedness for the KdV Equation and Nonlinear Schrödinger Equations in Low-regularity Sobolev Spaces

  N. Kishimoto

  Kyoto University, Feb. 2010

  
• Low-regularity bilinear estimates for a quadratic nonlinear Schrodinger equation

  Nobu Kishimoto

  JOURNAL OF DIFFERENTIAL EQUATIONS, Sep. 2009, Peer-reviewed

  
• WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION AT THE CRITICAL REGULARITY

  Nobu Kishimoto

  DIFFERENTIAL AND INTEGRAL EQUATIONS, May 2009, Peer-reviewed

  
• Local well-posedness for the cauchy problem of the quadratic Schrodinger equation with nonlinearity u(2)

  Nobu Kishimoto

  COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, Sep. 2008, Peer-reviewed

  
• Low-regularity Local Well-posedness for Quadratic Nonlinear Schrödinger Equations

  N. Kishimoto

  Kyoto University, Feb. 2008

  

Misc.

• Analysis on nonlinear Schrödinger equations with higher order terms (in Japanese)

  Nobu Kishimoto

  第57回実函数論・函数解析学合同シンポジウム講演集, Aug. 2018, Invited

  
• Ill-posedness of the Cauchy problem for the nonlinear Schrödinger equation with Raman scattering term

  Nobu Kishimoto; Yoshio Tsutsumi

  RIMS Kôkyûroku, Jul. 2018, Invited

  
• Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain

  Nobu Kishimoto

  RIMS Kôkyûroku, Apr. 2018, Invited

  
• Local and global well-posedness for the KdV equation at the critical regularity (Nonlinear evolution equations and mathematical modeling)

  N. Kishimoto

  RIMS Kôkyûroku, Jun. 2010, Invited

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Presentations

• Characterization of three-dimensional Euler flows supported on finitely many Fourier modes

  Nobu Kishimoto

  Analysis of PDEs in Fluid, 15 Mar. 2024, Invited

  
• On unconditional uniqueness for the derivative NLS

  Nobu Kishimoto

  3rd Harmonic Analysis Workshop in Seoul, 24 Oct. 2023, Invited

  
• On well-posedness for the kinetic derivative NLS

  Nobu Kishimoto

  One-day seminar series at Ewha Womans University, 31 Aug. 2023, Invited

  
• Unconditional uniqueness for the derivative nonlinear Schrödinger equation

  Nobu Kishimoto

  International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics", 29 Jul. 2023, Invited

  
• Local well-posedness for the kinetic derivative nonlinear Schrödinger equation on the real line

  Nobu Kishimoto

  14th ISAAC Congress, Session: Function Spaces and their Applications to Nonlinear Evolutional Equations, 17 Jul. 2023, Invited

  
• Low-regularity well-posedness for the kinetic derivative NLS on the torus

  Nobu Kishimoto

  MATRIX-RIMS Tandem Workshop: Geometric Analysis in Harmonic Analysis and PDE, 27 Mar. 2023, Invited

  
• Poincare-Dulac normal form method for nonlinear dispersive PDEs

  Nobu Kishimoto

  RIMS workshop "Analysis of fluid dynamical PDEs", 13 Mar. 2023, Invited

  
• Well-posedness for the kinetic derivative nonlinear Schrödinger equation on the torus

  Nobu Kishimoto

  5th Workshop on Nonlinear Dispersive Equations, 08 Nov. 2022, Invited

  
• Well-posedness for the kinetic derivative nonlinear Schrödinger equation

  Nobu Kishimoto

  伊都PDEワークショップ, 29 Aug. 2022, Invited

  
• Short-time Fourier restriction norm method for the kinetic derivative nonlinear Schrödinger equation

  岸本 展

  Dispersive and wave equations, 04 Aug. 2022, Invited

  
• Local and global well-posedness for the kinetic derivative nonlinear Schrödinger equation

  Nobu Kishimoto

  The 18th Linear and Nonlinear Waves, 04 Nov. 2021, Invited

  
• Well-posedness for the periodic kinetic derivative nonlinear Schrödinger equation

  Nobu Kishimoto

  Kylin Lecture in analysis: Dispersive equations, 17 Oct. 2021, Invited

  
• Well-posedness for the Periodic Kinetic Derivative Nonlinear Schrödinger Equation

  Nobu Kishimoto

  Analysis Seminar, University of Rochester, 15 Oct. 2021, Invited

  
• Well-posedness for the kinetic derivative nonlinear Schrödinger equation on the torus

  Nobu Kishimoto

  The 13th International ISAAC Congress, Session 6: Function spaces and their applications to nonlinear evolution equations, 05 Aug. 2021, Invited

  
• Well-posedness for the kinetic derivative nonlinear Schrödinger equation on the torus

  Nobu Kishimoto

  The 12th Nagoya Workshop on Differential Equations, 09 Mar. 2021, Invited

  
• Resonant interactions and ill-posedness for periodic nonlinear dispersive equations

  Nobu Kishimoto

  Quantized Vortices and Nonlinear Waves, 18 Feb. 2021, Invited

  
• Well-posedness for the kinetic DNLS equation on the torus

  Nobu Kishimoto

  NLPDE Seminar, Kyoto University, 29 May 2020

  
• Ill-posedness of a certain NLS-type equation with derivative nonlinearity on the torus

  Nobu Kishimoto

  Analysis Seminar, The University of Edinburgh, 22 Jan. 2020, Invited

  
• Characterization of three-dimensional Euler flows supported on finitely many Fourier modes

  Nobu Kishimoto

  RIMS Satellite Seminars "Physical and Mathematical Approaches to Geophysical Fluid Problems", 07 Sep. 2019

  
• Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus

  Nobu Kishimoto

  Session 8. Function Spaces and their Applications to Nonlinear Evolutional Equations, in the 12th International ISAAC Congress, 01 Aug. 2019, Invited

  
• Gevrey ill-posedness of third-order nonlinear Schrödinger equations on the torus

  Nobu Kishimoto

  RIMS Symposium "Harmonic Analysis and Nonlinear Partial Differential Equations", 02 Jul. 2019, Invited

  
• Characterization of incompressible Euler flows supported on finitely many Fourier modes

  Nobu Kishimoto

  2019 CAU-RIMS Joint Workshop on Nonlinear PDEs, 25 Apr. 2019, Invited

  
• Ill-posedness of an NLS-type equation with derivative nonlinearity on the torus

  Nobu Kishimoto

  Oberseminar Analysis, Universität Bielefeld, 12 Mar. 2019, Invited

  
• Ill-posedness of the periodic nonlinear Schrödinger equation with third-order dispersion and Raman scattering term

  Nobu Kishimoto

  Session "Recent Trends in Nonlinear Partial Differential Equations and Related Problems" in 2018 CMS Winter Meeting, 08 Dec. 2018, Invited

  
• Ill-posedness of periodic third-order nonlinear Schrödinger equations

  Nobu Kishimoto

  Workshop on nonlinear wave equations and related topics in Kobe, 19 Nov. 2018, Invited

  
• Analysis on nonlinear Schrödinger equations with higher order terms

  Nobu Kishimoto

  The 57th Real Analysis and Functional Analysis Joint Symposium, 03 Sep. 2018, Invited

  
• Well-posedness and ill-posedness for the third order NLS with Raman scattering term

  岸本 展

  数理解析研究所共同研究（公開型）『保存則をもつ偏微分方程式の解の正則性、特異性および漸近挙動の研究』, 30 May 2018, Invited

  
• 高階項を持つ非線形シュレディンガー方程式の解析

  岸本 展

  RIMS-IMI合同談話会, 26 Mar. 2018, Invited

  
• Nonlinear dispersive equations with almost periodic initial data

  岸本 展

  津田塾大学PDE研究会, 15 Feb. 2018, Invited

  
• Ill-posedness for the periodic third order NLS equation with Raman scattering term

  N. Kishimoto

  Nonlinear Dispersive Equations in Kumamoto, 2018, 20 Jan. 2018, Invited

  
• ラマン散乱項を持つ非線形シュレディンガー方程式の初期値問題の非適切性

  岸本 展

  非線形波動現象の数理とその応用, 13 Oct. 2017

  
• Ill-posedness of the third order NLS equations with Raman scattering term

  岸本 展

  日本数学会2017年度秋季総合分科会, 13 Sep. 2017

  
• Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain

  N. Kishimoto

  Mathematical Analysis in Fluid and Gas Dynamics, 05 Jul. 2017, Invited

  
• Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain

  N. Kishimoto

  Probabilistic Perspectives in Nonlinear PDEs, 05 Jun. 2017, Invited

  
• Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain

  岸本 展

  広島数理解析セミナー, 12 May 2017, Invited

  
• Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain

  N. Kishimoto

  The 14th Japanese-German International Workshop on Mathematical Fluid Dynamics, 08 Mar. 2017, Invited

  
• Unconditional uniqueness for nonlinear dispersive equations via normal form reductions of Poincare-Dulac type

  岸本 展

  Saga Workshop on Partial Differential Equations, 07 Mar. 2017, Invited

  
• Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain

  岸本 展

  若手による流体力学の基礎方程式研究集会, 09 Jan. 2017, Invited

  
• Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections

  N. Kishimoto

  2016 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems, 25 Dec. 2016, Invited

  
• Remark on global regularity for the rotating Navier-Stokes equations in a periodic domain

  岸本 展

  名古屋微分方程式セミナー, 21 Nov. 2016, Invited

  
• Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections

  岸本 展

  第3回「量子渦と非線形波動」, 09 Nov. 2016, Invited

  
• Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain

  岸本 展

  九州関数方程式セミナー, 07 Oct. 2016, Invited

  
• Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections

  岸本 展

  日本数学会2016年度秋季総合分科会, 15 Sep. 2016

  
• Weak dispersion limit for nonlinear Schrodinger equations with higher order corrections

  N. Kishimoto

  International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics", 20 Jul. 2016, Invited

  
• Unconditional uniqueness for nonlinear dispersive equations

  N. Kishimoto

  Workshop on Nonlinear Dispersive PDE; long time dynamics, boundary value problems, integrability, 11 Jul. 2016, Invited

  
• Limit behavior problem for some nonlinear dispersive equations with higher order corrections

  岸本 展

  数理解析研究所共同研究『線形及び非線形分散型方程式に関する最近の進展』, 16 May 2016, Invited

  
• Unconditional uniqueness for periodic nonlinear dispersive equations

  N. Kishimoto

  FDP Analysis Seminar, 17 Mar. 2016, Invited

  
• Nonlinear dispersive equations with periodic boundary conditions

  N. Kishimoto

  East Asian Core Doctorial Forum on Mathematics 2016, 09 Jan. 2016, Invited

  
• Unconditional uniqueness for the modified Benjamin-Ono equation

  N. Kishimoto

  Workshop on Hyperbolic and Dispersive PDEs in Sendai, 17 Dec. 2015, Invited

  
• Uniqueness problem for some nonlinear Schrodinger equations and application

  岸本 展

  第5回弘前非線形方程式研究会, 12 Dec. 2015, Invited

  
• Nonlinear dispersive equations with periodic boundary conditions

  N. Kishimoto

  The 8th International Conference on Science and Mathematics Education in Developing Countries, 04 Dec. 2015, Invited

  
• Unconditional uniqueness of solutions for nonlinear dispersive equations

  N. Kishimoto

  2015 CAU-Kyoto U. Joint Workshop on Nonlinear PDEs, 21 Sep. 2015, Invited

  
• 非線形分散型方程式の解の無条件一意性について

  岸本 展

  日本数学会2015年度秋季総合分科会（特別講演）, 13 Sep. 2015, Invited

  
• Unconditional uniqueness of solutions for nonlinear dispersive equations

  N. Kishimoto

  The 40th Sapporo Symposium on Partial Differential Equations, 19 Aug. 2015, Invited

  
• Remark on the Strichartz estimates for the Schrodinger equation on two-dimensional tori

  岸本 展

  数理解析研究所共同研究『線形および非線形分散型方程式の研究』, 18 May 2015, Invited

  
• Unconditional uniqueness for periodic nonlinear dispersive equations

  Nobu Kishimoto

  Critical Exponents and Nonlinear Evolution Equation 2015, 21 Feb. 2015, Invited

  
• Some topics on nonlinear dispersive equations on the torus

  岸本 展

  第12 回城崎新人セミナー, 16 Feb. 2015, Invited

  
• Unconditional uniqueness for periodic nonlinear dispersive equations

  岸本 展

  第12 回浜松偏微分方程式研究集会, 23 Dec. 2014, Invited

  
• Normal form reduction for the unconditional uniqueness of periodic nonlinear dispersive equations

  岸本 展

  日本数学会秋季総合分科会, 28 Sep. 2014

  
• Unconditional uniqueness for periodic nonlinear dispersive equations

  岸本 展

  数理解析研究所研究集会『偏微分方程式に付随する確率論的問題』, 18 Sep. 2014, Invited

  
• Normal form reduction for unconditional uniqueness of periodic nonlinear dispersive equations

  岸本 展

  数理解析研究所共同研究『線形および非線形分散型方程式に関する最近の進展』, 22 May 2014, Invited

  
• Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation

  岸本 展

  日本数学会秋季総合分科会, 27 Sep. 2013

  
• Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation

  岸本 展

  第2回岐阜数理科学研究会, 18 Sep. 2013, Invited

  
• Unconditional well-posedness for the periodic cubic nonlinear Schrodinger equation

  岸本 展

  数理解析研究所共同研究『線形および非線形分散型方程式の研究』, 20 May 2013

  
• Well-posedness for the cubic nonlinear Schrodinger equation on two-dimensional torus

  岸本 展

  日本数学会年会, 22 Mar. 2013

  
• Well-posedness for a nonlinear Schrodinger equation on two-dimensional tori

  Nobu Kishimoto

  Kyoto RIMS - SNU Workshop, 18 Feb. 2013

  
• Well-posedness for a nonlinear Schrödinger equation on 2D torus

  Nobu Kishimoto

  CAU-Kyoto University Joint Workshop on Nonlinear PDEs, 16 Feb. 2013, Invited

  
• Finite-time blowup for the Zakharov system on 2D torus

  Nobu Kishimoto

  UK-Japan Winter School: Nonlinear Analysis, 08 Jan. 2013

  
• Well-posedness for nonlinear Schrödinger equations with periodic boundary conditions

  Nobu Kishimoto

  Linear and Nonlinear Waves, No. 10, 31 Oct. 2012, Invited

  
• Construction of blow-up solutions for the Zakharov system on two dimensional torus

  Nobu Kishimoto

  Evolution Equations of Physics, Fluids, and Geometry, 10 Sep. 2012, Invited

  
• Remark on some periodic nonlinear Schrodinger equations

  岸本 展

  数理解析研究所共同研究『非線形分散型方程式における最近の進展』, 24 May 2012, Invited

  
• Nonlinear Partial Differential Equations and Well-posedness of Initial Value Problem

  Nobu Kishimoto

  "Hakubi Cosmology 2012" - The Second Annual Report Meeting of The Hakubi Center for Advanced Research, 14 Apr. 2012

  
• Remark on the L2-critical nonlinear Schrodinger equation on torus

  岸本 展

  日本数学会年会, 28 Mar. 2012

  
• Blow-up solution for the Zakharov system on two-dimensional torus

  岸本展

  若手のための偏微分方程式と数学解析, 13 Feb. 2012, Invited

  
• Blow-up solution for the Zakharov system on 2D torus

  岸本 展

  第3回白浜研究集会, 13 Dec. 2011

  
• Blow-up solution for the Zakharov system on 2D torus

  岸本 展

  日本数学会秋季総合分科会, 01 Oct. 2011

  
• Local well-posedness for the Zakharov system on torus

  岸本 展

  日本数学会秋季総合分科会, 01 Oct. 2011

  
• Global well-posedness for the 2D Zakharov system

  岸本 展

  数理解析研究所共同研究『非線形双曲型および分散型方程式の研究』, 25 May 2011, Invited

  
• Local well-posedness for the Zakharov system on torus

  Nobu Kishimoto

  The 28th Kyushu Symposium on Partial Differential Equations, 25 Jan. 2011, Invited

  
• Local well-posedness for the Zakharov system on torus

  Nobu Kishimoto

  19th Workshop on Differential Equations and Its Applications, 16 Jan. 2011, Invited

  
• Well-posedness for nonlinear dispersive equations and nonlinear interactions

  岸本展

  微分方程式の総合的研究, 19 Dec. 2010, 日本数学会函数方程式論分科会, Invited

  
• Local well-posedness for the Zakharov system on torus

  岸本 展

  第2回白浜研究集会, 01 Dec. 2010

  
• Local well-posedness for the "good" Boussinesq equation on torus

  岸本 展

  日本数学会秋季総合分科会, 24 Sep. 2010

  
• “good” Boussinesq方程式の初期値問題の適切性とFourier制限法

  岸本 展

  第32回発展方程式若手セミナー, 30 Aug. 2010

  
• Local well-posedness for a quadratic nonlinear Schr¨odinger equation on torus

  岸本 展

  数理解析研究所共同研究『非線形波動・分散型方程式の研究』, 27 May 2010, Invited

  
• 非線形発展方程式の初期値問題の適切性

  岸本 展

  第1回解析系白浜研究集会, 01 Dec. 2009

  
• Well-posedness of the Cauchy problem for the KdV equation at the critical regularity

  Nobu Kishimoto

  RIMS Workshop "Well-posedness and Scattering for Nonlinear Dispersive and Wave Equations", 01 Nov. 2009, Invited

  
• Well-posedness of the Cauchy problem for the KdV equation at the critical regularity

  Nobu Kishimoto

  RIMS Workshop "Nonlinear Evolution Equations and Mathematical Modeling", 01 Oct. 2009, Invited

  
• Counterexamples to bilinear estimates for the KdV equation in Besov-type Bourgain spaces

  岸本 展

  日本数学会秋季総合分科会, 01 Sep. 2009

  
• Well-posedness of the Cauchy problem for the KdV equation at the critical regularity

  Nobu Kishimoto

  RIMS Workshop "Harmonic Analysis and Nonlinear Partial Differential Equations", 01 Jul. 2009, Invited

  
• Local well-posedness for quadratic nonlinear Schrodinger equations

  岸本 展

  第19回『微分方程式と数理物理』, 01 Mar. 2009

  
• 実数直線上のKdV方程式の初期値問題の適切性

  岸本 展

  第30回発展方程式若手セミナー, 11 Sep. 2008

  
• 実数直線上のKdV，modified KdV方程式の初期値問題の適切性

  岸本 展

  日本数学会秋季総合分科会, 01 Sep. 2008

  
• 非線形項u\bar{u}をもつ1次元Schrodinger方程式の初期値問題の適切性について

  岸本 展

  日本数学会年会, 01 Mar. 2008

  
• Low-regularity local well-posedness for quadratic nonlinear Schrodinger equations

  Nobu Kishimoto

  京都大学−ソウル大学−香港中文大学若手数学者交流会, 01 Feb. 2008

  
• 2次の非線形項を持つ1次元Schrodinger方程式の初期値問題の適切性について

  岸本 展

  日本数学会秋季総合分科会, 01 Sep. 2007

  
• Local well-posedness results for 1-D quadratic nonlinear Schrödinger equations

  Nobu Kishimoto

  RIMS Workshop "Harmonic Analysis and Nonlinear Partial Differential Equations", 01 Jul. 2007, Invited

  
• あるクラスの非線形方程式の“不適切性” について

  岸本 展

  数理解析研究所共同研究『非線形波動および分散型方程式に関する研究』, 01 May 2007, Invited

  

Awards

• Sep. 2009

  The Mathematical Society of Japan, 2009 MSJ Takebe Katahiro Prize for Encouragement of Young Researchers
• Mar. 2010

  Kyoto University, 2009 Kyoto University President Award

External funds: Kakenhi

• 分散性を持つ非線形波動における共鳴相互作用の役割の究明

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  岸本 展

  From 01 Apr. 2020, To 31 Mar. 2025, Granted

  非線形シュレディンガー方程式;微分型相互作用;非局所型相互作用;初期値問題の適切性;漸近挙動;解の一意性;短時間フーリエ制限法;ゲージ変換;エネルギー評価;周期境界条件;共鳴相互作用;解の非存在;関数方程式論;非線形分散型方程式;解の正則性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03678/
• Analysis of concentration phenomena for nonlinear wave and dispersive equations

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Yoshio Tsutsumi

  From 01 Apr. 2017, To 31 Mar. 2022, Project Closed

  非線形波動・分散型方程式;初期値問題の適切性;初期値問題の非適切性;非線形シュレディンガー方程式;フーリエ制限法;関数方程式論;関数解析;フーリエ解析;運動論的微分シュレディンガー方程式;実関数論;関数解析学;数理物理学;無限次元ハミルトン系;ガウス測度の準不変性;3次分散項付き非線形シュレディンガー方程式;リウビル方程式;KP II方程式;異方的ソボレフ空間;大域アトラクター;減衰項と外力付きKP-II方程式;3階分散項付き非線形シュレディンガー方程式;Raman散乱;Gevreyクラス;ノルム・インフレーション;Sobolev空間;抽象Cauchy-Kowlevsky定理;減衰項と外力付きZakharov-Kuznetsov方程式;グローバル・アトラクター;数理物理;３次分散項;高階非線形シュレディンガー方程式;共鳴周波数;初期値問題;負の指数のソボレフ空間;解の非一意性;非共鳴条件

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H02853/
• Research on the structure of the resonant interaction and behavior/singularity of the solutions for nonlinear dispersive wave equations

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Nobu KISHIMOTO

  From 01 Apr. 2016, To 31 Mar. 2023, Project Closed

  非線形分散型方程式;初期値問題の適切性;周期境界条件;共鳴相互作用;解の一意性;解の非存在;組合せ論;フーリエ制限法;修正ベンジャミン・オノ方程式;非線形シュレディンガー方程式;非圧縮性ナヴィエ・ストークス方程式;ベルトラミ流;一般化KdV方程式;不変測度;初期値問題;適切性;平滑化効果;非適切性;ジュブレクラス;非圧縮性オイラー方程式;非線形平滑化効果;回転流体;分数階ラプラス作用素;関数方程式論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K17626/
• Existence and global behavior of spatially periodic solutions to the initial value problems for nonlinear dispersive equations

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Nobu Kishimoto

  From 01 Apr. 2012, To 31 Mar. 2016, Project Closed

  非線形分散型方程式;初期値問題;適切性;周期境界条件;無条件一意性;回転流体;組合せ論;初期値問題の適切性;非線形シュレディンガー方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24740086/
• 周期境界条件下における非線形分散型偏微分方程式の初期値問題の適切性

  Grant-in-Aid for Research Activity Start-up

  Kyoto University

  岸本 展

  From 24 Aug. 2011, To 31 Mar. 2013, Declined

  非線形Schrodinger方程式;Zakharov方程式;初期値問題の適切性;周期境界条件;解の爆発;I-メソッド

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23840022/
• Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  Yoshio Tsutsumi

  From 01 Apr. 2011, To 31 Mar. 2016, Project Closed

  非線形波動・分散型方程式;非圧縮性Navier-Stokes方程式;解の特異性と凝縮現象;Keller-Segel方程式;解の時間大域挙動;Gibbs測度;Stokesドリフト;大域挙動;グローバル・アトラクター;中心多様体;非線形散乱理論;有限時間爆発;非線形発展方程式;Strichartz評価式;計算機支援証明法;精度保証付き数値計算;爆発解;Orlicz-Morrey空間;初期値問題の適切性;解の正則性・特異性;表面量直重力波方程式(米国);等温Falkモデル;Zakharov方程式;Keller-Segel方程式(ドイツ);不変測度;不安定基底状態;解の大域挙動;ストークス・ドリフト;重力-表面張力水面波;Beal-Kato-Majda型爆発判定条件;減衰項付きKlein-Gordon方程式;Morawetz評価式;エネルギー減衰評価式;Lugiato-Lefever方程式;定常解の分岐;指数安定性;一般化された分数べき積分作用素;Morrey空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23224003/
• Global analysis for nonlinear dispersive equations

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  中西 賢次

  From 01 Apr. 2022, To 31 Mar. 2027, Granted

  非線形分散型方程式;ソリトン;解の爆発;散乱理論;非線形共鳴

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22H01132/
• Global analysis for nonlinear dispersive equations

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  中西 賢次

  From 01 Apr. 2022, To 31 Mar. 2027, Granted

  非線形分散型方程式;ソリトン;解の爆発;散乱理論;非線形共鳴

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K22403/
• Unified research on gauge transformations, modified energies, and normal forms for nonlinear dispersive equations

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  岸本 展

  From 01 Apr. 2025, To 31 Mar. 2029, Granted

  非線形偏微分方程式;分散型方程式;ゲージ変換;修正エネルギー;ノーマルフォーム

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25K07066/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2024, To 31 Mar. 2025

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Partial Differential Equations

  8118, Spring, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Graduate Lecture in Partial Differential Equations

  0406, Spring, Graduate School of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations d

  1256, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations c

  1255, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations b

  1254, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Partial Differential Equations a

  1253, Spring, Graduate School of Science, 3
• From 01 Oct. 2023, To 31 Mar. 2024

  Engineering Mathematics

  C121, Fall, Agriculture, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations a

  1253, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations d

  1256, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations c

  1255, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Partial Differential Equations b

  1254, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Topics in Analysis D

  0276, Fall, Graduate School of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Analysis I

  4104, Fall, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations d

  1256, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations b

  1254, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations a

  1253, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Partial Differential Equations c

  1255, Spring, Graduate School of Science, 3
• From Apr. 2014, To Mar. 2015

  Exercises in Analysis II

  Fall, 理学部
• From Apr. 2014, To Mar. 2015

  Seminar on Numerical Analysis A

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Numerical Analysis B

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Numerical Analysis C

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Numerical Analysis D

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Numerical Analysis A

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Numerical Analysis B

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Numerical Analysis C

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Numerical Analysis D

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Exercises in Analysis II

  Fall, 理学部
• From Apr. 2016, To Mar. 2017

  Seminar on Numerical Analysis A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Numerical Analysis B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Numerical Analysis C

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Numerical Analysis D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2017, To Mar. 2018

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2017, To Mar. 2018

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Partial Differential Equations d

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Partial Differential Equations d

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2019, To Mar. 2020

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Partial Differential Equations d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Advanced Analysis II

  Fall, 理学部
• From Apr. 2020, To Mar. 2021

  Topics in Analysis B

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Partial Differential Equations d

  Fall, 理学研究科

Participation in PhD Defense

• LONG-TIME ASYMPTOTICS OF THE DAMPED NONLINEAR KLEIN-GORDON EQUATION WITH A DELTA POTENTIAL

  ISHIZUKA KENJIROU, Graduate School of Science, Sub-chief Examiner

  24 Mar. 2025
• Dynamics of nonlinear Schr■dinger equations with high-frequency oscillations and their averaged models

  KAWAKAMI JUMPEI, Graduate School of Science, Sub-chief Examiner

  24 Mar. 2025

Part-time lecturer

• From Apr. 2020, To Mar. 2021

  解析学特別講義II

  後期(集中), 千葉大学, 大学院理学研究院

Academic, Social Contribution

Social Contribution

• 微分方程式における問題設定

  Contributor

  サイエンス社, 数理科学 第57巻10号, 特集『現代数学の捉え方［解析編］』内, From 01 Oct. 2019

  
• 解とは何か

  Contributor

  サイエンス社, 数理科学 第56巻11号, 特集『微分方程式の考え方』内, From 01 Nov. 2018

  
• 微分方程式を解く

  Lecturer

  京都大学数理解析研究所, 数学入門公開講座, From 01 Aug. 2016, To 04 Aug. 2016