293 citations · 1.1k across the 28 of their papers we have counts for
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math.AP2015★ 62 cited
Strong Maximum Principle for Multi-Term Time-Fractional Diffusion Equations and its Application to an Inverse Source Problem
Yikan Liu
In this paper, we establish a strong maximum principle for fractional diffusion equations with multiple Caputo derivatives in time, and investigate a related inverse problem of pra…
math.AP2015★ 49 cited
Theoretical stability and numerical reconstruction for an inverse source problem for hyperbolic equations
Daijun Jiang, Yikan Liu, Masahiro Yamamoto
In this paper, we investigate the inverse problem on determining the spatial component of the source term in a hyperbolic equation with time-dependent principal part. Based on a ne…
math.AP2015★ 131 cited
Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
Yikan Liu, William Rundell, Masahiro Yamamoto
The strong maximum principle is a remarkable characterization of parabolic equations, which is expected to be partly inherited by fractional diffusion equations. Based on the corre…