Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement
Analysis of PDEs
2019-07-05 v1
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.
Keywords
Cite
@article{arxiv.1907.02430,
title = {Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement},
author = {Yavar Kian and Zhiyuan Li and Yikan Liu and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1907.02430},
year = {2019}
}