An inverse problem for a fractional diffusion equation with fractional power type nonlinearities
Analysis of PDEs
2022-03-30 v2
Abstract
We study the well-posedness of a semilinear fractional diffusion equation and formulate an associated inverse problem. We determine fractional power type nonlinearities from the exterior partial measurements of the Dirichlet-to-Neumann map. Our arguments are based on a first order linearization as well as the parabolic Runge approximation property.
Cite
@article{arxiv.2104.00132,
title = {An inverse problem for a fractional diffusion equation with fractional power type nonlinearities},
author = {Li Li},
journal= {arXiv preprint arXiv:2104.00132},
year = {2022}
}