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

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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https://hal.archives-ouvertes.fr/hal-02222894
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Submitted on : Thursday, August 1, 2019 - 2:05:04 AM
Last modification on : Monday, August 19, 2019 - 3:31:09 PM

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Yavar Kian, Zhiyuan Li, Yikan Liu, Masahiro Yamamoto. Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement. 2019. ⟨hal-02222894⟩

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