Yavar Kian
CPT, Aix Marseille Université
https://sites.google.com/site/yavarkian2/home
Date(s) : 02/03/2020 iCal
11 h 15 min - 12 h 15 min
Inverse problem for diffusion equations from a single measure
We consider the inverse problem of uniquely determining different types of properties of a diffusion process described by a diffusion equation, ordinary or fractional in time, stated on a bounded open or a Riemannian manifold with boundary. These properties, which can correspond to the density of the medium as well as the speed field with which the quantity described moves, will be associated with different parameters of the equation (coeffcients, variety). We will seek to determine these parameters from a Neumann measure on a part of the boundary of the domain of a solution of our equation with a properly chosen Dirichlet data. This work is the result of a collaboration with Yikan Liu, Zhiyuan Li and Masahiro Yamamoto.
https://arxiv.org/abs/1907.02430
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