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Publications Influence

The Galerkin finite element method for a multi-term time-fractional diffusion equation

- B. Jin, R. Lazarov, Y. Liu, Zhi Zhou
- Mathematics, Computer Science
- J. Comput. Phys.
- 31 January 2014

TLDR

151 4- PDF

Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem

- Y. Liu
- Computer Science, Mathematics
- Comput. Math. Appl.
- 23 October 2015

TLDR

28 4- PDF

Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients

- Zhiyuan Li, Y. Liu, Masahiro Yamamoto
- Mathematics, Computer Science
- Appl. Math. Comput.
- 7 December 2013

TLDR

84 3- PDF

Strong maximum principle for fractional diffusion equations and an application to an inverse source problem

- Y. Liu, W. Rundell, Masahiro Yamamoto
- Mathematics
- 3 July 2015

Abstract The strong maximum principle is a remarkable property of parabolic equations, which is expected to be partly inherited by fractional diffusion equations. Based on the corresponding weak… Expand

62 3- PDF

Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations

- Daijun Jiang, Z. Li, Y. Liu, Masahiro Yamamoto
- Mathematics
- 20 July 2016

In this paper, we first establish a weak unique continuation property for time-fractional diffusion-advection equations. The proof is mainly based on the Laplace transform and the unique continuation… Expand

55 2- PDF

Inverse source problem for the hyperbolic equation with a time-dependent principal part

- Daijun Jiang, Y. Liu, Masahiro Yamamoto
- Mathematics
- 5 January 2017

Abstract In this paper, we investigate the inverse problem on determining the spatial component of the source term in the hyperbolic equation with a time-dependent principal part. Based on a Carleman… Expand

21 2

Inverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of Orbits

- G. Hu, Y. Liu, Masahiro Yamamoto
- Physics, Mathematics
- 12 October 2018

This paper is concerned with the inverse problem on determining the orbit of a moving source in fractional diffusion(-wave) equations either in a connected bounded domain of \({\mathbb R}^d\) or in… Expand

4 1- PDF

Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction

- J. Yu, Y. Liu, Masahiro Yamamoto
- Mathematics
- 18 May 2017

In this article, we investigate the determination of the spatial component in the time-dependent second order coefficient of a hyperbolic equation from both theoretical and numerical aspects. By the… Expand

2 1- PDF

Reconstruction of the Temporal Component in the Source Term of a (Time-Fractional) Diffusion Equation

- Y. Liu, Zhidong Zhang
- Mathematics, Physics
- 13 April 2017

In this article, we consider the reconstruction of $\rho(t)$ in the (time-fractional) diffusion equation $(\partial_t^\alpha-\triangle)u(x,t)=\rho(t)g(x)$ ($0<\alpha \le 1$) by the observation at a… Expand

21- PDF

Inverse Problems of Determining Sources of the Fractional Partial Differential Equations

- Z. Li, Y. Liu, Masahiro Yamamoto
- Mathematics
- 11 April 2019

When considering fractional diffusion equation as model equation in analyzing anomalous diffusion processes, some important parameters in the model related to orders of the fractional derivatives,… Expand

18- PDF

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