An inverse problem for semilinear equations involving the fractional Laplacian
Analysis of PDEs
2023-08-10 v3
Abstract
Our work concerns the study of inverse problems of heat and wave equations involving the fractional Laplacian operator with zeroth order nonlinear perturbations. We recover nonlinear terms in the semilinear equations from the knowledge of the fractional Dirichlet-to-Neumann type map combined with the Runge approximation and the unique continuation property of the fractional Laplacian.
Keywords
Cite
@article{arxiv.2201.05407,
title = {An inverse problem for semilinear equations involving the fractional Laplacian},
author = {Pu-Zhao Kow and Shiqi Ma and Suman Kumar Sahoo},
journal= {arXiv preprint arXiv:2201.05407},
year = {2023}
}
Comments
25 pages