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Pré-Publication, Document De Travail Année : 2021

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

Yavar Kian
Zhiyuan Li
  • Fonction : Auteur
Yikan Liu
  • Fonction : Auteur
Masahiro Yamamoto
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03171483 , version 1 (17-03-2021)

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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. 2021. ⟨hal-03171483⟩
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