Zhiyuan Li

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All published works

Action	Title	Year	Authors
+	Coercivity-based analysis and its application to an inverse source problem for a subdiffusion equation with time-dependent principal parts	2024	Daijun Jiang Zhiyuan Li Masahiro Yamamoto
+ PDF Chat	Simultaneous uniqueness for a coefficient inverse problem in one-dimensional fractional diffusion equation from an interior point measurement	2024	Xiaohua Jing Zhiyuan Li Masahiro Yamamoto
+	Unique inversion of orders and potential for multi-term time fractional wave equations	2024	Xuyan Jiang Zhiyuan Li
+ PDF Chat	A strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations	2024	Li Hu Zhiyuan Li Xiaona Yang
+ PDF Chat	Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition	2024	Mohamad Amin Mohamadi Zhiyuan Li Lei Wu Danica J. Sutherland
+ PDF Chat	Unique recovery of the initial state of distributed order time fractional diffusion equation	2024	Hui Liu Zhiyuan Li Zhousheng Ruan
+ PDF Chat	New type of the unique continuation property for a fractional diffusion equation and an inverse source problem	2024	Wenyi Liu Chengbin Du Zhiyuan Li
+ PDF Chat	Hopf's lemma and uniqueness of simultaneously determining source profile and Robin coefficient in a fractional diffusionequation by interior data	2024	Daijun Jiang Zhiyuan Li
+ PDF Chat	Unique identification of fractional orders in the fractional mobile–immobile solute transport system	2023	Gongsheng Li Wenyi Liu Xianzheng Jia Zhiyuan Li
+	Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method	2023	Jin Wen Zhiyuan Li Yongping Wang
+ PDF Chat	Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems	2023	Matti Lassas Zhiyuan Li Zhidong Zhang
+ PDF Chat	Initial-boundary value problems for coupled systems of time-fractional diffusion equations	2023	Zhiyuan Li Xinchi Huang Yikan Liu
+ PDF Chat	Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	2023	Xing Cheng Zhiyuan Li
+	Bloch's conjecture for (anti-)autoequivalences on K3 surfaces	2023	Zhiyuan Li Xun Yu Ruxuan Zhang
+	Unique Continuation for the Multi-term Time Fractional Diffusion Equation and its Numerical Simulation	2023	Yuanyuan Yang Lejiao Zhao Zhiyuan Li
+	Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data	2022	Daijun Jiang Zhiyuan Li
+ PDF Chat	Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem	2022	Daijun Jiang Zhiyuan Li Matthieu Pauron Masahiro Yamamoto
+	Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions	2022	Zhiyuan Li Yikan Liu Masahiro Yamamoto
+	Unpolarized Shafarevich conjectures for hyper-Kähler varieties	2022	Lie Fu Zhiyuan Li Haitao Zou
+	Mukai's program for non-primitive curves on K3 surfaces	2022	Yiran Cheng Zhiyuan Li Wu Haoyu
+	Unpolarized Shafarevich conjectures for hyper-Kähler varieties	2022	Lie Fu Zhiyuan Li Teppei Takamatsu Haitao Zou
+	Initial-boundary value problems for coupled systems of time-fractional diffusion equations	2022	Zhiyuan Li Xinchi Huang Yikan Liu
+	Beauville-Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces	2022	Zhiyuan Li Ruxuan Zhang
+ PDF Chat	Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	2021	Xing Cheng Zhiyuan Li
+ PDF Chat	An inverse problem of determining fractional orders in a fractal solute transport model	2021	Gongsheng Li Xianzheng Jia Wenyi Liu Zhiyuan Li
+	Twisted derived equivalences and isogenies for abelian surfaces	2021	Zhiyuan Li Haitao Zou
+	Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem	2021	Daijun Jiang Zhiyuan Li Matthieu Pauron Masahiro Yamamoto
+	Strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations	2021	Xiaona Yang Zhiyuan Li
+	Tautological classes of hyper-Kähler manifolds. Erratum	2021	Nicolas Bergeron Zhiyuan Li
+	A note on Fourier-Mukai partners of abelian varieties over positive characteristic fields	2021	Haitao Zou Zhiyuan Li
+	Well-posedness and asymptotic estimate for a diffusion equation with time-fractional derivative	2021	Zhiyuan Li Xinchi Huang Masahiro Yamamoto
+	An inverse problem of determining fractional orders in a fractal solute transport model	2021	Gongsheng Li Xianzheng Jia Wenyi Liu Zhiyuan Li
+	Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	2021	Xing Cheng Zhiyuan Li
+	Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions	2021	Zhiyuan Li Yikan Liu Masahiro Yamamoto
+	Derived isogenies and isogenies for abelian surfaces	2021	Zhiyuan Li Haitao Zou
+ PDF Chat	Well-posedness for the backward problems in time for general time-fractional diffusion equation	2020	Giuseppe Floridia Zhiyuan Li Masahiro Yamamoto
+ PDF Chat	Unique determination of fractional order and source term in a fractional diffusion equation from sparse boundary data	2020	Zhiyuan Li Zhidong Zhang
+	Identifying unknown source in degenerate parabolic equation from final observation	2020	Ranran Li Zhiyuan Li
+ PDF Chat	The uniqueness of inverse problems for a fractional equation with a single measurement	2020	Yavar Kian Zhiyuan Li Yikan Liu Masahiro Yamamoto
+ PDF Chat	Determination of Time-Dependent Coefficients in Time-Fractional Diffusion Equations by Variational Iteration Method	2020	Li Mimi Gongsheng Li Zhiyuan Li Xianzheng Jia
+ PDF Chat	Determination of Time-Dependent Coefficients in Time-Fractional Diffusion Equations by Variational Iteration Method	2020	Li Mimi Gongsheng Li Zhiyuan Li Xianzheng Jia
+	Well-posedness for the backward problems in time for general time-fractional diffusion equation	2020	Giuseppe Floridia Zhiyuan Li Masahiro Yamamoto
+	A stability result for the determination of order in time-fractional diffusion equations	2019	Zhiyuan Li Xinchi Huang Masahiro Yamamoto
+ PDF Chat	Generic Well-posedness for an Inverse Source Problem for a Multi-term Time-fractional Diffusion Equation	2019	Zhiyuan Li Xing Cheng Yikan Liu
+	Uniqueness in the inversion of distributed orders in ultraslow diffusion equations	2019	Zhiyuan Li Kenichi Fujishiro Gongsheng Li
+ PDF Chat	Initial-boundary value problem for distributed order time-fractional diffusion equations	2019	Zhiyuan Li Yavar Kian Éric Soccorsi
+	An inverse problem in time-fractional diffusion equations with nonlinear boundary condition	2019	Zhiyuan Li Xing Cheng Gongsheng Li
+ PDF Chat	Initial-boundary value problems for multi-term time-fractional diffusion equations with <inline-formula><tex-math id="M1">\begin{document}$ x $\end{document}</tex-math></inline-formula>-dependent coefficients	2019	Zhiyuan Li Xinchi Huang Masahiro Yamamoto
+ PDF Chat	Unique Continuation Principle for the One-Dimensional Time-Fractional Diffusion Equation	2019	Zhiyuan Li Masahiro Yamamoto
+ PDF Chat	Tautological classes on moduli spaces of hyper-Kähler manifolds	2019	Nicolas Bergeron Zhiyuan Li
+ PDF Chat	Inverse problems of determining sources of the fractional partial differential equations	2019	Yikan Liu Zhiyuan Li Masahiro Yamamoto
+ PDF Chat	Inverse problems of determining coefficients of the fractional partial differential equations	2019	Zhiyuan Li Masahiro Yamamoto
+ PDF Chat	Inverse problems of determining parameters of the fractional partial differential equations	2019	Zhiyuan Li Yikan Liu Masahiro Yamamoto
+ PDF Chat	Carleman estimates for the time-fractional advection-diffusion equations and applications	2019	Xinchi Huang Zhiyuan Li Masahiro Yamamoto
+	Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement	2019	Yavar Kian Zhiyuan Li Yikan Liu Masahiro Yamamoto
+	P=W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds	2019	Andrew Harder Zhiyuan Li Junliang Shen Qizheng Yin
+ PDF Chat	Asymptotic Chow stability of toric Del Pezzo surfaces	2019	King Leung Lee Zhiyuan Li Jacob Sturm Xiaowei Wang
+	Initial-boundary value problems for multi-term time-fractional diffusion equations with x-dependent coefficients	2018	Zhiyuan Li Xinchi Huang Masahiro Yamamoto
+	A novel method to solve inverse source problem for advection-diffusion equation from final data	2018	Zhiyuan Li Gongsheng Li Xianzheng Jia
+	Unique continuation principle for the one-dimensional time-fractional diffusion equation	2018	Zhiyuan Li Masahiro Yamamoto
+ PDF Chat	Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations	2017	Daijun Jiang Zhiyuan Li Yikan Liu Masahiro Yamamoto
+	An inverse problem for distributed order time-fractional diffusion equations	2017	Zhiyuan Li
+	Initial-boundary value problem for distributed order time-fractional diffusion equations	2017	Zhiyuan Li Yavar Kian Éric Soccorsi
+	Asymptotic Chow stability of toric Del Pezzo surfaces	2017	King-Leung Lee Zhiyuan Li Jacob Sturm Xiaowei Wang
+	Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem	2016	Zhiyuan Li Yuri Luchko Masahiro Yamamoto
+ PDF Chat	Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations	2016	Xing Cheng Zhiyuan Li Masahiro Yamamoto
+	Conditional stability for an inverse source problem for the time-fractional diffusion equation	2016	Zhiyuan Li
+ PDF Chat	Uniqueness in inverse boundary value problems for fractional diffusion equations	2015	Zhiyuan Li Oleg Imanuvilov Masahiro Yamamoto
+	On rational connectedness of globally F-regular threefolds	2015	Yoshinori Gongyo Zhiyuan Li Zsolt Patakfalvi Karl Schwede Hiromu Tanaka Runhong Zong
+ PDF Chat	Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients	2014	Zhiyuan Li Yikan Liu Masahiro Yamamoto
+ PDF Chat	Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations	2014	Zhiyuan Li Yuri Luchko Masahiro Yamamoto
+ PDF Chat	Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation	2014	Zhiyuan Li Masahiro Yamamoto
+	Sections of Calabi-Yau threefolds with K3 fibration	2014	Zhiyuan Li
+	Two inverse problems of determining orders of Caputo derivatives in a fractional diffusion equation	2014	Zhiyuan Li Masahiro Yamamoto
+	Integral Hodge classes on fourfolds fiberd by quadric bundles	2014	Zhiyuan Li Zhiyu Tian
+	The Noether-Lefschetz conjecture and generalizations	2014	Nicolas Bergeron Zhiyuan Li John J. Millson Colette Mœglin
+	On Rational Connectedness of Globally F-Regular Threefolds	2013	Yoshinori Gongyo Zhiyuan Li Zsolt Patakfalvi Karl Schwede Hiromu Tanaka Hong R. Zong
+	Modular forms and special cubic fourfolds	2013	Zhiyuan Li Letao Zhang
+	Initial-boundary value problems for linear diffusion equation with multiple time-fractional derivatives	2013	Zhiyuan Li Masahiro Yamamoto
+	On Rational Connectedness of Globally F-Regular Threefolds	2013	Yoshinori Gongyo Zhiyuan Li Zsolt Patakfalvi Karl Schwede Hiromu Tanaka Hong R. Zong
+	Density of Rational Points on K3 Surfaces over Function Fields	2012	Zhiyuan Li
+	Modular Forms and Special Cubic Fourfolds	2012	Zhiyuan Li Letao Zhang
+	Sections of Calabi-Yau threefolds with K3 fibration	2011	Zhiyuan Li
+	Local Realistic Model for Two-Particle Einstein-Podolsky-Rosen Pairs	2001	Zhiyuan Li

Common Coauthors

Coauthor	Papers Together
Masahiro Yamamoto	27
Yikan Liu	11
Gongsheng Li	8
Xinchi Huang	7
Xianzheng Jia	5
Daijun Jiang	5
Xing Cheng	5
Yavar Kian	4
Nicolas Bergeron	3
Yoshinori Gongyo	3
Haitao Zou	3
Wenyi Liu	3
Zsolt Patakfalvi	3
Karl Schwede	3
Giuseppe Floridia	2
Zhidong Zhang	2
Masahiro Yamamoto	2
Éric Soccorsi	2
Jacob Sturm	2
Matthieu Pauron	2
Haitao Zou	2
Hong R. Zong	2
Lie Fu	2
Yuri Luchko	2
Xiaowei Wang	2
Li Mimi	2
Letao Zhang	2
Xiaona Yang	2
Hiromu Tanaka	2
Ruxuan Zhang	2
Lejiao Zhao	1
Matti Lassas	1
Runhong Zong	1
Danica J. Sutherland	1
Mohamad Amin Mohamadi	1
King Leung Lee	1
Junliang Shen	1
King-Leung Lee	1
Zhousheng Ruan	1
Xun Yu	1
Xuyan Jiang	1
Xing Cheng	1
Yuanyuan Yang	1
Yiran Cheng	1
Wenyi Liu	1
Ranran Li	1
Xianzheng Jia	1
Qizheng Yin	1
Lei Wu	1
Kenichi Fujishiro	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems	2011	Kenichi Sakamoto Masahiro Yamamoto	40
+	Fractional differential equations	1999	Igor Podlubný	29
+ PDF Chat	Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations	2017	Daijun Jiang Zhiyuan Li Yikan Liu Masahiro Yamamoto	24
+	Time-fractional diffusion equation in the fractional Sobolev spaces	2015	Rudolf Gorenflo Yuri Luchko Masahiro Yamamoto	23
+ PDF Chat	Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients	2014	Zhiyuan Li Yikan Liu Masahiro Yamamoto	20
+	Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation	2009	Jin Cheng Junichi Nakagawa Masahiro Yamamoto T. Yamazaki	20
+ PDF Chat	Uniqueness in inverse boundary value problems for fractional diffusion equations	2015	Zhiyuan Li Oleg Imanuvilov Masahiro Yamamoto	18
+ PDF Chat	Strong maximum principle for fractional diffusion equations and an application to an inverse source problem	2016	Yikan Liu William Rundell Masahiro Yamamoto	17
+	Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation	2013	Gongsheng Li Dali Zhang Xianzheng Jia Masahiro Yamamoto	16
+ PDF Chat	Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces	2009	Rico Zacher	13
+	The random walk's guide to anomalous diffusion: a fractional dynamics approach	2000	Ralf Metzler J. Klafter	13
+ PDF Chat	Application of a fractional advection‐dispersion equation	2000	David A. Benson Stephen W. Wheatcraft Mark M. Meerschaert	12
+	Maximum principle for the generalized time-fractional diffusion equation	2008	Yury Luchko	12
+	Carleman estimate for a fractional diffusion equation with half order and application	2011	Xiang Xu Jin Cheng Masahiro Yamamoto	12
+	Unique continuation property for the anomalous diffusion and its application	2013	Jin Cheng Ching-Lung Lin Gen Nakamura	11
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo	11
+ PDF Chat	Carleman estimates for the time-fractional advection-diffusion equations and applications	2019	Xinchi Huang Zhiyuan Li Masahiro Yamamoto	10
+	Inverse source problem for a fractional diffusion equation	2011	Ying Zhang Xiang Xu	10
+	BOUNDARY VALUE PROBLEMS FOR THE GENERALIZED TIME-FRACTIONAL DIFFUSION EQUATION OF DISTRIBUTED ORDER	2009	Yury Luchko	10
+	Unique continuation property for anomalous slow diffusion equation	2016	Ching-Lung Lin Gen Nakamura	10
+	Global uniqueness in an inverse problem for time fractional diffusion equations	2017	Yavar Kian Lauri Oksanen Éric Soccorsi Masahiro Yamamoto	10
+ PDF Chat	Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations	2014	Zhiyuan Li Yuri Luchko Masahiro Yamamoto	10
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry	9
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	9
+	Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation	2010	Yury Luchko	9
+ PDF Chat	Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation	2014	Zhiyuan Li Masahiro Yamamoto	9
+ PDF Chat	Unique Continuation Principle for the One-Dimensional Time-Fractional Diffusion Equation	2019	Zhiyuan Li Masahiro Yamamoto	9
+	Time-Fractional Differential Equations	2020	Adam Kubica Katarzyna Ryszewska Masahiro Yamamoto	9
+ PDF Chat	Distributed order calculus and equations of ultraslow diffusion	2007	Anatoly N. Kochubei	8
+	Distributed-Order Fractional Kinetics	2004	Igor M. Sokolov Aleksei V. Chechkin J. Klafter	8
+ PDF Chat	Inverse problems of determining sources of the fractional partial differential equations	2019	Yikan Liu Zhiyuan Li Masahiro Yamamoto	8
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	8
+	Carleman estimates for parabolic equations and applications	2009	Masahiro Yamamoto	7
+ PDF Chat	On Time-Fractional Diffusion Equations with Space-Dependent Variable Order	2018	Yavar Kian Éric Soccorsi Masahiro Yamamoto	7
+	A backward problem for the time-fractional diffusion equation	2010	J.J. Liu Masahiro Yamamoto	7
+ PDF Chat	Initial-boundary Value Problems for Fractional Diffusion Equations with Time-Dependent Coefficients	2018	Adam Kubica Masahiro Yamamoto	7
+	Coefficient inverse problem for a fractional diffusion equation	2013	Luc Miller Masahiro Yamamoto	7
+	Inverse source problem with a final overdetermination for a fractional diffusion equation	2011	Kenichi Sakamoto Masahiro Yamamoto	7
+	Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem	2016	Yikan Liu	7
+	The Zeros of Certain Integral Functions	1926	E. C. Titchmarsh	7
+	Determination of time dependent factors of coefficients in fractional diffusion equations	2016	Kenichi Fujishiro Yavar Kian	7
+ PDF Chat	Time-fractional Diffusion of Distributed Order	2008	Francesco Mainardi Antonio Mura Gianni Pagnini Rudolf Gorenflo	7
+	Unique continuation for some evolution equations	1987	Jean‐Claude Saut Bruno Scheurer	6
+	Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem	2016	Zhiyuan Li Yuri Luchko Masahiro Yamamoto	6
+	An undetermined coefficient problem for a fractional diffusion equation	2015	Zhidong Zhang	6
+	Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate	2012	Masahiro Yamamoto Ying Zhang	6
+	Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives	2013	Susanne Beckers Masahiro Yamamoto	6
+ PDF Chat	A tutorial on inverse problems for anomalous diffusion processes	2015	Bangti Jin William Rundell	6
+	Determination of order in fractional diffusion equation	2013	Yuko Hatano Junichi Nakagawa Shengzhang Wang Masahiro Yamamoto	6
+	Cauchy problem for fractional diffusion equations	2004	Samuil D. Eidelman Anatoly N. Kochubei	6