Liu, Yikan(Graduate School of Science, Division of Mathematics and Mathematical Sciences) | Activity Database on Education and Research, Kyoto University

Liu, Yikan

Graduate School of Science, Division of Mathematics and Mathematical Sciences Associate Professor

Last Updated :2025/04/22

Basic Information

Faculty

Faculty of Science

Institute for Liberal Arts and Sciences (ILAS)

Email Address

Email Address
liu.yikan.8zkyoto-u.ac.jp

Professional Memberships

From Oct. 2020, To Present
The Japan Society for Industrial and Applied Mathematics

From Oct. 2020, To Present
The Mathematical Society of Japan

Academic Degree

24 Mar. 2015
東京大学博士（数理科学）

22 Mar. 2012
東京大学修士（数理科学）

Academic Resume (Undergraduate School/Majors)

復旦大学, 数学科学学院学部課程情報と計算科学専攻, 卒業

Research History

From Oct. 2023, To Present
Kyoto University, Graduate School of Science Division of Mathematics, Associate Professor

From Aug. 2019, To Sep. 2023
Hokkaido University, Research Institute for Electronic Science, Assistant professor

From Jul. 2018, To Jul. 2019
The University of Tokyo, Graduate School of Mathematical Sciences, Project research associate

From Nov. 2016, To Jun. 2018
The University of Tokyo, Graduate School of Mathematical Sciences, JSPS foreign postdoctoral fellow

From Apr. 2015, To Oct. 2016
The University of Tokyo, Graduate School of Mathematical Sciences, Project researcher

ID,URL

J-Global ID
201901005689485135

researchmap URL

https://researchmap.jp/yikan_liu

Last Updated :2025/04/22

Research

Research Interests

Mathematical modeling

Partial differential equation

Inverse problem

Research Areas

Natural sciences, Mathematical analysis, Applied analysis

Papers

Blowup in L1(Ω)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms
Giuseppe Floridia; Yikan Liu; Masahiro Yamamoto
Advances in Nonlinear Analysis, 22 Dec. 2023, Peer-reviewed

Long-time Asymptotic Estimate and a Related Inverse Source Problem for Time-Fractional Wave Equations
Xinchi Huang; Yikan Liu
Practical Inverse Problems and Their Prospects, 10 Sep. 2023, Peer-reviewed, Invited, Last author, Corresponding author

Uniqueness of Inverse Source Problems for Time-Fractional Diffusion Equations with Singular Functions in Time
Yikan Liu; Masahiro Yamamoto
Practical Inverse Problems and Their Prospects, 10 Sep. 2023, Peer-reviewed, Invited, Lead author, Corresponding author

Recovery of multiple parameters in subdiffusion from one lateral boundary measurement
Siyu Cen; Bangti Jin; Yikan Liu; Zhi Zhou
Inverse Problems, 29 Aug. 2023, Peer-reviewed, Invited

Uniqueness of inverse source problems for general evolution equations
Yavar Kian; Yikan Liu; Masahiro Yamamoto
Communications in Contemporary Mathematics, Aug. 2023, Peer-reviewed

Initial-boundary value problems for coupled systems of time-fractional diffusion equations
Zhiyuan Li; Xinchi Huang; Yikan Liu
Fractional Calculus and Applied Analysis, 20 Mar. 2023, Peer-reviewed, Last author

Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions
Zhiyuan Li; Yikan Liu; Masahiro Yamamoto
Inverse Problems and Imaging, Feb. 2023, Peer-reviewed, Corresponding author

Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior
Yikan Liu; Masahiro Yamamoto
Inverse Problems, 29 Dec. 2022, Peer-reviewed, Invited, Lead author, Corresponding author

On time-fractional diffusion equations and their inverse problems
Yikan Liu
RIMS Kôkyûroku, Nov. 2022, Invited, Lead author, Last author, Corresponding author

The uniqueness of inverse problems for a fractional equation with a single measurement
Yavar Kian; Zhiyuan Li; Yikan Liu; Masahiro Yamamoto
Mathematische Annalen, Aug. 2021, Peer-reviewed, Corresponding author

Inverse moving source problem for time-fractional evolution equations: determination of profiles
Yikan Liu; Guanghui Hu; Masahiro Yamamoto
Inverse Problems, 01 Aug. 2021, Peer-reviewed, Invited, Lead author, Corresponding author

Numerical schemes for reconstructing profiles of moving sources in (time-fractional) evolution equations
Yikan Liu
RIMS Kôkyûroku, Feb. 2021, Invited, Lead author, Last author, Corresponding author

Generic Well-posedness for an Inverse Source Problem for a Multi-term Time-fractional Diffusion Equation
Zhiyuan Li; Xing Cheng; Yikan Liu
Taiwanese Journal of Mathematics, Aug. 2020, Peer-reviewed, Last author

Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
Daijun Jiang; Yikan Liu; Dongling Wang
Advances in Computational Mathematics, May 2020, Peer-reviewed, Corresponding author

Inverse moving source problem for fractional diffusion(-wave) equations: Determination of orbits
Guanghui Hu; Yikan Liu; Masahiro Yamamoto
Inverse Problems and Related Topics, Feb. 2020, Peer-reviewed, Invited, Corresponding author

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Jin Cheng; Yi-kan Liu; Yan-bo Wang; Masahiro Yamamoto
Acta Mathematicae Applicatae Sinica, English Series, Jan. 2020, Peer-reviewed, Invited, Corresponding author

Inverse problems of determining parameters of the fractional partial differential equations
Zhiyuan Li; Yikan Liu; Masahiro Yamamoto
Handbook of Fractional Calculus with Applications, Feb. 2019, Peer-reviewed, Invited

Inverse problems of determining sources of the fractional partial differential equations
Yikan Liu; Zhiyuan Li; Masahiro Yamamoto
Handbook of Fractional Calculus with Applications, Feb. 2019, Peer-reviewed, Invited, Lead author

Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction
Jie Yu; Yikan Liu; Masahiro Yamamoto
Inverse Problems, 15 Feb. 2018, Peer-reviewed, Corresponding author

A new unique continuation property for the Lamé system in two dimensions
Yanbo Wang; Yikan Liu; Jin Cheng
SCIENTIA SINICA MATHEMATICA, Oct. 2017, Peer-reviewed, Invited

Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation
Yikan Liu; Zhidong Zhang
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Jul. 2017, Peer-reviewed, Lead author

Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
Daijun Jiang; Zhiyuan Li; Yikan Liu; Masahiro Yamamoto
INVERSE PROBLEMS, May 2017, Peer-reviewed, Corresponding author

Inverse source problem for the hyperbolic equation with a time-dependent principal part
Daijun Jiang; Yikan Liu; Masahiro Yamamoto
JOURNAL OF DIFFERENTIAL EQUATIONS, Jan. 2017, Peer-reviewed, Corresponding author

Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
Yikan Liu
COMPUTERS & MATHEMATICS WITH APPLICATIONS, Jan. 2017, Peer-reviewed, Lead author, Last author, Corresponding author

Inverse Source Problem for a Wave Equation with Final Observation Data
Daijun Jiang; Yikan Liu; Masahiro Yamamoto
MATHEMATICAL ANALYSIS OF CONTINUUM MECHANICS AND INDUSTRIAL APPLICATIONS, Nov. 2016, Peer-reviewed, Corresponding author

STRONG MAXIMUM PRINCIPLE FOR FRACTIONAL DIFFUSION EQUATIONS AND AN APPLICATION TO AN INVERSE SOURCE PROBLEM
Yikan Liu; William Rundell; Masahiro Yamamoto
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, Aug. 2016, Peer-reviewed, Lead author, Corresponding author

INVERSE SOURCE PROBLEM FOR A DOUBLE HYPERBOLIC EQUATION DESCRIBING THE THREE-DIMENSIONAL TIME CONE MODEL
Yikan Liu; Daijun Jiang; Masahiro Yamamoto
SIAM JOURNAL ON APPLIED MATHEMATICS, Dec. 2015, Peer-reviewed, Lead author

Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
Zhiyuan Li; Yikan Liu; Masahiro Yamamoto
APPLIED MATHEMATICS AND COMPUTATION, Apr. 2015, Peer-reviewed, Corresponding author

Mathematical analysis and numerical methods for phase transformation and anomalous diffusion
Yikan Liu
The University of Tokyo, Mar. 2015, Peer-reviewed, Lead author, Last author, Corresponding author

The Galerkin finite element method for a multi-term time-fractional diffusion equation
Bangti Jin; Raytcho Lazarov; Yikan Liu; Zhi Zhou
JOURNAL OF COMPUTATIONAL PHYSICS, Jan. 2015, Peer-reviewed

On the multiple hyperbolic systems modelling phase transformation kinetics
Yikan Liu; Masahiro Yamamoto
APPLICABLE ANALYSIS, Jun. 2014, Peer-reviewed, Lead author, Corresponding author

Growth rate modeling and identification in the crystallization of polymers
Yikan Liu; Xiang Xu; Masahiro Yamamoto
INVERSE PROBLEMS, Sep. 2012, Peer-reviewed, Lead author

Forward and inverse problems for hyperbolic systems modeling generation of structures
Yikan Liu
The University of Tokyo, Mar. 2012, Peer-reviewed

Misc.

Numerical reconstruction of orders in coupled systems of subdiffusion equations
Yikan Liu
Oct. 2024, Peer-reviewed, Invited, Lead author, Last author, Corresponding author

Forward and Backward Problems for Coupled Subdiffusion Systems
Dian Feng; Yikan Liu; Shuai Lu
Numerical Functional Analysis and Optimization, 04 Apr. 2025

Blow-up for time-fractional diffusions equations with superlinear convex semilinear terms
Xinchi Huang; Yikan Liu; Masahiro Yamamoto
Oct. 2023, Corresponding author

複雑な構造が似ていることをどう認識するか
Masahiro Yamamoto; Yikan Liu
数学セミナー, Oct. 2016, Invited, Last author

歪取プロセスの最適なアルゴリズム構築：シャフトをまっすぐにする(続)
Yikan Liu; Masato Kimura; Masahiro Yamamoto
数学セミナー, Jan. 2016, Invited, Lead author

Presentations

Asymptotic behavior and an order inverse problem for coupled subdiffusion systems
Yikan Liu
Hunan Normal University Inverse Problems Seminar, 17 Nov. 2024, Invited

Asymptotic behavior of time-fractional partial differential equations and systems
Yikan Liu
Workshop on Elliptic and Parabolic Equations, 14 Nov. 2024, Invited

Backward problem for strongly coupled subdiffusion systems
Yikan Liu
JSIAM Annual Meeting 2024, 16 Sep. 2024

Inverse problems for coupled systems of subdiffusion equations
Yikan Liu
The 7th Joint Conference of A3 Foresight Program on Computational and Applied Mathematics, 31 Aug. 2024, Invited

On time-fractional partial differential equations and their inverse problems
Yikan Liu
Colloquium of Mathematics, Kyoto University, 17 Jul. 2024, Invited

Revisit and recent progress of inverse problems for subdiffusion equations
Yikan Liu
2024 International Conference on Inverse Problems Theory & Computation, 27 Jun. 2024, Invited

Unique determination and numerical reconstruction of orders in coupled time-fractional diffusion equations
Yikan Liu
11th International Conference “Inverse Problems: Modeling and Simulation”, 27 May 2024, Invited

On solution dynamics of coupled systems and semilinear problems of time-fractional diffusion equations
Yikan Liu
MSJ Spring Meeting 2024, 17 Mar. 2024, Invited

Long-time asymptotic behavior of coupled subdiffusion systems and a related parameter inverse problem
Yikan Liu
Workshop on Recent Advances in Scientific Computing and Inverse Problems, 11 Mar. 2024, Invited

Recent progress in coupled systems and semilinear problems of time-fractional diffusion equations
Yikan Liu
Ningbo University Yongjiang Mathematics Forum, 03 Jan. 2024, Invited

Recent progress in parameter inverse problems for time-fractional diffusion equations
Yikan Liu
Fudan University Inverse Problems Seminar, 29 Dec. 2023, Invited

On time-fractional diffusion equations and their parameter inverse problems
Yikan Liu
Kyoto University Applied Mathematics Seminar, 07 Oct. 2023, Invited

Parameter inverse problem for coupled time-fractional diffusion systems
Yikan Liu
The 10th International Congress on Industrial and Applied Mathematics, 23 Aug. 2023, Invited

Recent progress in inverse problems for time-fractional partial differential equations
Yikan Liu
北海道大学数学教室談話会, 27 Jul. 2023, Invited

Initial-boundary value problems for coupled systems of time-fractional diffusion equations
Yikan Liu
MSJ Spring Meeting 2023, 18 Mar. 2023

Introduction to inverse problems and time-fractional partial differential equations
Yikan Liu
R4 RIES Research Exchange Meeting, 06 Jan. 2023

Long-time asymptotic estimate and a related inverse source problem for time-fractional wave equations
Yikan Liu; Xinchi Huang
Joint Workshop on Applied Mathematics 2022, 16 Dec. 2022

Two inverse source problems for time-fractional wave equations
Yikan Liu
Workshop “Recent Advances in Direct and Inverse Problems for PDEs and Applications”, 05 Dec. 2022, Invited

Uniqueness of a parameter inverse problem for multi-term time-fractional diffusion equations by inexact data
Yikan Liu
French-Italian-Japanese Conference "Theoretical and Numerical Trends in Inverse Problems and Control for PDE's, and Hamilton-Jacobi Equation", 14 Jun. 2022, Invited

Inverse source problems for time-fractional diffusion/wave equations
Yikan Liu
10th International Conference "Inverse Problems: Modeling and Simulation", 23 May 2022, Invited

Unique determination of orders and parameters in multi-term time-fractional diffusion equations by inexact data
Yikan Liu
Inverse Problems for Anomalous Diffusion Processes, 10 May 2022, Invited

Time-fractional partial differential equations and their inverse problems
Yikan Liu
26 Apr. 2022, Invited

Recent progress in inverse source problems for time-fractional diffusion equations
Yikan Liu
NUAA 2022 Online Workshop on Inverse Problems and Image Processing --- Modeling, Analysis and Computation, 24 Apr. 2022, Invited

Uniqueness of a parameter inverse problem for time-fractional diffusion equations by inexact data
Yikan Liu
24 Mar. 2022, Invited

Revisit and recent progress of inverse source problems for time-fractional evolution equations
Yikan Liu
Hokuriku Workshop on Applied Mathematics 2022, 18 Mar. 2022, Invited

Inverse source problems for time-fractional diffusion equations: Old and new
Yikan Liu
Applied Inverse Problems and Their Prospects, 03 Mar. 2022, Invited

Uniqueness of a parameter inverse problem for time-fractional diffusion equations by inexact data
Yikan Liu; Masahiro Yamamoto
Joint Workshop on Applied Mathematics 2021, 19 Dec. 2021

Time-fractional partial differential equations: Properties and related inverse problems
Yikan Liu
09 Dec. 2021, Invited

Mathematical model for the measurement process of straightening machines
Hirotaka Kuma; Masato Kimura; Yikan Liu; Masahiro Yamamoto
The 22nd RIES-HOKUDAI International Symposium, 06 Dec. 2021

General introduction to time-fractional differential equations and related topics
Yikan Liu
Time-Delay Systems and Mathematical Science: Towards New Developments in Theories and Applications, 18 Nov. 2021, Invited

Mathematical model for the measurement process of straightening machines
Hirotaka Kuma; Masato Kimura; Yikan Liu; Masahiro Yamamoto
The 7th Hokkaido University Cross-Departmental Symposium, 01 Oct. 2021

Uniqueness for the simultaneous determination of multiple coefficients in a fractional evolution equation by a single measurement
Yikan Liu
MSJ Autumn Meeting 2021, 15 Sep. 2021

Inverse moving source problems on determining profiles in (time-fractional) evolution equations
Guanghui Hu; Yikan Liu; Masahiro Yamamoto
Joint Workshop on Applied Mathematics 2020, 18 Dec. 2020

Uniqueness for determining profiles of moving sources in (time-fractional) evolution equations
Yikan Liu
The Workshop on Theoretical and Computational Analyses for Inverse Problems, 05 Dec. 2020, Invited

Inverse moving source problems on determining profiles in (time-fractional) evolution equations
Yikan Liu
Workshop on Inverse Problems, 25 Oct. 2020, Invited

Uniqueness and numerical schemes for an inverse moving source problem for (time-fractional) evolution equations
Yikan Liu
4th Conference on Numerical Methods for Fractional-Derivative Problems, 24 Oct. 2020, Invited

Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
Daijun Jiang; Yikan Liu; Dongling Wang
JSIAM Annual Meeting 2020, 08 Sep. 2020

Inverse moving source problems for (time-fractional) evolution equations
Yikan Liu
Hokuriku Workshop on Applied Mathematics 2020, 17 Feb. 2020, Invited

On fractional evolution equations and their inverse problems
Yikan Liu
北海道大学数学教室談話会, 04 Feb. 2020, Invited

Inverse moving source problems for (time-fractional) diffusion(-wave) equations
Yikan Liu
Analysis of Inverse Problems through Partial Differential Equations and Related Topics, 08 Jan. 2020, Invited

Unique continuation property for two-dimensional anisotropic elasticity systems with partial information
Yikan Liu
Joint Workshop on Applied Mathematics 2019, 13 Dec. 2019

Inverse source problems for time-fractional evolution equations
Yikan Liu
2019 International Symposium of RIES and CEFMS, 04 Dec. 2019

Inverse source problems for time-fractional evolution equations
Yikan Liu
The 20th RIES-HOKUDAI International Symposium, 02 Dec. 2019

Inverse problems for hyperbolic-type equations with time-dependent principal parts
Yikan Liu
Workshop on PDEs in Direct and Inverse Problems 2019, 29 Nov. 2019, Invited

A concise review on inverse problems for time-fractional evolution equations
Yikan Liu
20 Nov. 2019, Invited

General introduction to inverse problems for time-fractional evolution equations
Yikan Liu
Forum on Inverse Problems, 18 Nov. 2019, Invited

Inverse source problems for time-fractional diffusion(-wave) equations
Yikan Liu
Inverse Problems and Related Fields '19, 08 Nov. 2019, Invited

Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement
Yikan Liu
Workshop on Optimal Control and Optimization for Nonlocal Models, 29 Oct. 2019, Invited

Determination of an orbit in the moving source of a (time-fractional) diffusion(-wave) equation
Yikan Liu
The 5th International Symposium on Inverse Problems, Design and Optimization, 25 Sep. 2019

A concise review on inverse problems for fractional diffusion equations
Yikan Liu
22 Sep. 2019, Invited

Orbit determination in an inverse moving source problem for fractional diffusion(-wave) equations
Yikan Liu
Workshop for Young Scholars "Control and Inverse Problems on Waves, Oscillations and Flows -Mathematical Analysis and Computational Methods-", 26 Aug. 2019, Invited

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Yikan Liu
Summer School on Applied Inverse Problems and Related Topics, 09 Aug. 2019

Mathematical analyses for inverse problems for fractional diffusion equations
Yikan Liu
The 9th International Congress on Industrial and Applied Mathematics, 17 Jul. 2019

Multiple hyperbolic systems modeling the phase transformation and related inverse problems
Yikan Liu
28 Jun. 2019, Invited

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Yikan Liu
25 Jun. 2019, Invited

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Yikan Liu
The 11th Annual Meeting on Inverse Problems in China, 23 Jun. 2019

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Yikan Liu
The 14th SIAM East Asian Section Conference, 15 Jun. 2019

Identification of the temporal component in the source term of a (time-fractional) diffusion equation
Yikan Liu
3rd Workshop on Numerical Methods for Fractional-Derivative Problems, 27 Apr. 2019

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Yikan Liu
24 Apr. 2019, Invited

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Yikan Liu
22 Apr. 2019, Invited

Multiple hyperbolic systems modeling the phase transformation and related inverse problems
Yikan Liu
HMMC Seminar, 05 Mar. 2019, Invited

Maximum principle for time-fractional diffusion equations and a related inverse problem
Yikan Liu
Maximum Principle for Partial Differential Equations and Related Topics 3, 04 Mar. 2019, Invited

Inverse problems for hyperbolic-type equations with time-dependent principal parts
Yikan Liu
The 10th Annual Meeting on Inverse Problems, 30 May 2018, Invited

A new unique continuation property for two-dimensional anisotropic elasticity systems
Yikan Liu
9th International Conference "Inverse Problems: Modeling and Simulation", 25 May 2018

Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Yikan Liu
Hiroshima Mathematical Analysis Seminar, 02 Feb. 2018, Invited

Time-fractional diffusion equations: Maximum principle and inverse problem
Yikan Liu
Kusatsu Seminar 2018, 21 Jan. 2018, Invited

Coefficient inverse problem for hyperbolic equations with time-dependent principal parts
Yikan Liu
Taiwan-Japan Joint Workshop on Inverse Problems, 18 Nov. 2017

A new unique continuation property for anisotropic elasticity systems in two dimensions
Yikan Liu
A3 Workshop on Modeling and Computation of Applied Inverse Problems, 13 Oct. 2017

Inverse problems for the acoustic equation with a time-dependent principal part
Yikan Liu
CSRC Summer School on Applied Inverse Problems, 10 Aug. 2017, Invited

Inverse problems for hyperbolic equations
Yikan Liu
21 Jun. 2017, Invited

Reconstruction of the temporal component in the source term of a fractional diffusion equation
Yikan Liu
Applied Inverse Problem Conference 2017, 30 May 2017

An inverse source problem for (time-fractional) diffusion equations
Yikan Liu
26 May 2017, Invited

Summary of Study Group 2016: Improvement of measurement algorithms in automatic straightening machines
Yikan Liu
Workshop on Computational Sciences and Financial Data Analysis, 30 Dec. 2016

Inverse source problem for time-fractional diffusion equations
Yikan Liu
Multidisciplinary Research Communication Symposium (The Mathematical Society of Japan), 19 Nov. 2016

Two inverse source problems for time-fractional diffusion equations
Yikan Liu
2nd East Asia Section of IPIA-Young Scholars Symposium, 05 Nov. 2016, Invited

Two inverse source problems for time-fractional diffusion equations
Yikan Liu
19 Oct. 2016, Invited

Iterative thresholding algorithm for inverse source problems for hyperbolic-type equations
Yikan Liu
The Fifth International Conference on Continuous Optimization, 10 Aug. 2016

Inverse source problems for hyperbolic-type equations with time-dependent principal parts
Yikan Liu
The 8th International Conference on Inverse Problems and Related Topics, 01 Jul. 2016, Invited

Determination of the temporal component in the source term of a fractional diffusion equation
Yikan Liu
The 8th International Conference on Inverse Problems and Related Topics, 28 Jun. 2016

Inverse source problems for hyperbolic-type equations describing the time cone model
Yikan Liu
The 8th International Workshop on Theoretical and Computational Analyses for Inverse Problems, 19 Jun. 2016, Invited

Strong maximum principle for fractional diffusion equations and its application to an inverse problem
Yikan Liu
27 Apr. 2016, Invited

Inverse source problems for hyperbolic-type equations
Yikan Liu
23 Feb. 2016, Invited

An inverse source problem for fractional diffusion equations
Yikan Liu
Winter School in Imaging Science, 21 Jan. 2016

Hyperbolic-type equations and related inverse problems for the time cone model
Yikan Liu
International Conference CoMFoS15: Mathematical Analysis of Continuum Mechanics and Industrial Applications, 17 Nov. 2015, Invited

Inverse source problems for hyperbolic-type equations
Yikan Liu
International Conference on Inverse Problems, Imaging, and Applications, 07 Aug. 2015

Inverse source problem for a double hyperbolic equation modeling the three-dimensional time cone model
Yikan Liu
International Workshop on Regularization Theory of Unstructured Data, 15 May 2015

[9] Initial-boundary value problems for time-fractional diffusion equations
Yikan Liu
FMSP Intensive Course by Graduate Students, 06 Mar. 2015, Invited

Inverse source problem for the three-dimensional time cone model
Yikan Liu
Inverse Problems for Partial Differential Equations and Related Topics, 28 Jan. 2015, Invited

Mathematical model for phase transformation phenomena and related topics
Yikan Liu
数学活用のための交流会, 19 Dec. 2014, Invited

Hyperbolic-type equations and the related inverse source problems
Yikan Liu
Seoul-Tokyo Conference on Applied Partial Differential Equations: Theory and Applications, 13 Dec. 2014

Various topics on multiple hyperbolic equations and fractional diffusion equations
Yikan Liu
A3 Foresight Program Conference on Modeling and Computation of Applied Inverse Problems, 22 Nov. 2014

[3] Forward and inverse problems for a phase transformation model
Yikan Liu
Multidisciplinary Research Communication Symposium (The Mathematical Society of Japan), 25 Oct. 2014

Two classes of partial differential equations modeling structure generation and anomalous diffusion
Yikan Liu
FMSP Communication Symposium, 19 Jul. 2014, Invited

An efficient numerical method for inverse source problems for hyperbolic-type equations
Yikan Liu
Recent Progress in Mathematical and Numerical Analysis of Inverse Problems, 21 May 2014

Well-posedness and numerical simulation for multi-term time-fractional diffusion equations with positive constant coefficients
Yikan Liu
13 May 2014, Invited

Well-posedness and numerical simulation for multi-term time-fractional diffusion equations with positive constant coefficients
Yikan Liu
13 Mar. 2014, Invited

Well-posedness and numerical simulation for multi-term time-fractional diffusion equations with positive constant coefficients
Yikan Liu
Conference on Diffusion in Heterogeneous Media and Related Topics, 07 Mar. 2014

Innovation in the control software of the fully automatic straightening machine
Yikan Liu
産業界からの課題解決のためのスタディグループ, 21 Feb. 2014

Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
Yikan Liu
29 Oct. 2013, Invited

Direct and inverse problems for multi-term time-fractional diffusion equations
Yikan Liu
International Workshop on Inverse Problems and Regularization Theory, 27 Sep. 2013

Inverse problems for two partial differential equations modeling structure generation and anomalous diffusion
Yikan Liu
Mathematical and Numerical Analysis for Inverse Problems for Partial Differential Equations, 18 Jul. 2013, Invited

Inverse problems for two evolution equations modeling structure generation and anomalous diffusion
Yikan Liu
Applied Inverse Problem Conference 2013, 03 Jul. 2013

On a class of multiple hyperbolic systems modeling the phase transformation kinetics
Yikan Liu
The Ninth INS Workshop on Natural Sciences, 21 Apr. 2013

On a class of multiple hyperbolic systems modeling the phase transformation kinetics
Yikan Liu
Miniworkshop on Inverse Problems and Related Topics, 27 Mar. 2013

Multiple hyperbolic systems modeling the phase transformation kinetics
Yikan Liu
27 Feb. 2013, Invited

Multiple hyperbolic systems modeling the phase transformation kinetics
Yikan Liu
Tsukuba Workshop for Young Mathematicians, 01 Feb. 2013, Invited

The modeling of phase transformation kinetics: Forward and inverse problems
Yikan Liu
Seoul-Tokyo Conference on Elliptic and Parabolic PDEs and Related Topics, 01 Dec. 2012

Forward and inverse problems concerning the time cone method modeling generation mechanisms
Yikan Liu
International Conference on Inverse Problems and Related Topics 2012, 23 Oct. 2012

Brainstorming for getting an abstract framework for thinking to tackle social and industrial problems through a combination of geometry and algebra with analysis
Yikan Liu
Study Group Workshop 2012, 31 Jul. 2012

Forward and inverse problems for hyperbolic systems modelling the nucleation
Yikan Liu
International Workshop on Computational Science and Numerical Analysis, 25 Mar. 2012, Invited

Forward and inverse problems for hyperbolic systems modelling generation of structures
Yikan Liu
28 Feb. 2012, Invited

Forward and inverse problems for hyperbolic systems modelling generation of structures
Yikan Liu
23 Feb. 2012, Invited

Forward and inverse problems for hyperbolic systems modelling generation of structures
Yikan Liu
14 Feb. 2012, Invited

Forward and inverse problems for hyperbolic systems modelling the generation of structures
Yikan Liu
Inverse problems of partial differential equations and related topics, 24 Jan. 2012, Invited

Forward and inverse problems for some hyperbolic systems modelling generation of structures
Yikan Liu
Conference of the EGDR Control of PDEs, 23 Nov. 2011, Invited

The mathematical modeling for anomalous diffusion in soil
Yikan Liu
Study Group Workshop 2011, 09 Aug. 2011

Books and Other Publications

Statistical and Computational Inverse Problems
Yikan Liu; Dinghua Xu; Jin Cheng, Joint translation
Science Press, Aug. 2018, Not refereed
Find Kyoto University's collection of books :

Awards

27 May 2024
EAIP Young Scientist Award 2024(The Eurasian Association On Inverse Problems)

29 Mar. 2022
日本数学会応用数学研究奨励賞

22 Mar. 2012
研究科長賞（東京大学大学院数理科学研究科）

28 May 2018
Excellent Youth Academic Award

24 Mar. 2015
研究科長賞（東京大学大学院数理科学研究科）

External funds: Kakenhi

Analysis of solution dynamics for time-fractional reaction-diffusion equations and systems
Grant-in-Aid for Early-Career Scientists
Basic Section 12040:Applied mathematics and statistics-related
Hokkaido University
劉逸侃
From 01 Apr. 2022, To 31 Mar. 2026, Granted
非整数階拡散方程式系;非整数階反応拡散方程式;適切性;逆問題;解の爆発;非整数階微分;反応拡散方程式;解のダイナミクス;比較原理
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K13954/

Mathematical analysis for fractional diffusion-wave equations and related inverse problems
Grant-in-Aid for Early-Career Scientists
Basic Section 12040:Applied mathematics and statistics-related
Hokkaido University
Yikan Liu
From 01 Apr. 2020, To 31 Mar. 2023, Project Closed
非整数階拡散-波動方程式;非局所性;一意接続性;逆問題;一意性;長時間定符号性;一意性・安定性;数値解析;非整数階微分;拡散－波動方程式;解の特徴付け
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K14355/

Mathematical analysis and applications of crystal growth and anomalous diffusion
Grant-in-Aid for JSPS Fellows
The University of Tokyo
山本昌宏
From 07 Nov. 2016, To 31 Mar. 2019, Project Closed
非整数階拡散方程式;双曲型方程式;逆問題;一意性・安定性;数値解法;一意接続性;Carleman評価;Carleman 評価;強最大値原理
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16F16319/

Inverse problem theory for innovation of detection methods
Fund for the Promotion of Joint International Research (International Collaborative Research)
Medium-sized Section 12:Analysis, applied mathematics, and related fields
Tokyo University of Science
伊藤弘道
From 08 Sep. 2023, To 31 Mar. 2028, Granted
逆問題;inverse source problem;inverse obstacle problem
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23KK0049/

Last Updated :2025/04/22

Education

Teaching subject(s)

From 01 Apr. 2024, To 31 Mar. 2025
Honors Mathematics A-E2
N161, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2024, To 31 Mar. 2025
Graduate Lecture in Mathematical Sciences
0409, Spring, Graduate School of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Linear Algebra with Exercises B
N160, Fall, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2024, To 31 Mar. 2025
Calculus with Exercises B
N158, Fall, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2024, To 31 Mar. 2025
Topics in Mathematical Sciences
4137, Spring, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Forefront of Mathematics and Mathematical Science I
4138, Spring, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Equations D
0543, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Equations C
0542, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Equations B
0541, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Differential Equations A
0540, Spring, Graduate School of Science, 3

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