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arXiv · 1907.02430

Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement

Yavar Kian·Zhiyuan Li·Yikan Liu·Masahiro Yamamoto
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Abstract

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 domain, like the density of the medium or the velocity field associated with the moving quantities from a single boundary measurement. This properties will be associated with some general class of time independent coefficients that we recover from a single Neumann boundary measurement, on some parts of the boundary, of the solution of our diffusion equation with a suitable boundary input, located on some parts of the boundary.

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Yavar Kian, Zhiyuan Li, Yikan Liu, Masahiro Yamamoto. 2019-07-04. Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement. https://arxiv.org/abs/1907.02430

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