An inverse problem for the fractional porous medium equation
Analysis of PDEs
2023-02-07 v2
Abstract
We consider a time-independent variable coefficients fractional porous medium equation and formulate an associated inverse problem. We determine both the conductivity and the absorption coefficient from exterior partial measurements of the Dirichlet-to-Neumann map. Our approach relies on a time-integral transform technique as well as the unique continuation property of the fractional operator.
Keywords
Cite
@article{arxiv.2111.14982,
title = {An inverse problem for the fractional porous medium equation},
author = {Li Li},
journal= {arXiv preprint arXiv:2111.14982},
year = {2023}
}