293 citations · 1.1k across the 28 of their papers we have counts for
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Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement
Yavar Kian, Zhiyuan Li, Yikan Liu +1
We consider the inverse problem of determining different type of information about a diffusion process, described by ordinary or fractional diffusion equations stated on a bounded…
Inverse moving source problem for fractional diffusion(-wave) equations: Determination of orbits
Guanghui Hu, Yikan Liu, Masahiro Yamamoto
This paper is concerned with the inverse problem on determining an orbit of the moving source in a fractional diffusion(-wave) equations in a connected bounded domain of $\mathbb R…
Inverse Problems of Determining Parameters of the Fractional Partial Differential Equations
Zhiyuan Li, Yikan Liu, Masahiro Yamamoto
When considering fractional diffusion equation as model equation in analyzing anomalous diffusion processes, some important parameters in the model related to orders of the fractio…
Inverse Problems of Determining Sources of the Fractional Partial Differential Equations
Yikan Liu, Zhiyuan Li, Masahiro Yamamoto
In this chapter, we mainly review theoretical results on inverse source problems for diffusion equations with the Caputo time-fractional derivatives of order . Our surve…
Unique continuation property with partial information for two-dimensional anisotropic elasticity systems
Jin Cheng, Yikan Liu, Yanbo Wang +1
In this paper, we establish a novel unique continuation property for two-dimensional anisotropic elasticity systems with partial information. More precisely, given a homogeneous el…