Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
Analysis of PDEs
2022-01-04 v1
Abstract
In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stability for the inverse problem involving a simultaneous recovery of two source terms from a single measurement and interior observations, based on a recent Carleman estimate for such problems.
Cite
@article{arxiv.2003.07884,
title = {Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions},
author = {E. M. Ait Ben Hassi and S. E. Chorfi and L. Maniar and O. Oukdach},
journal= {arXiv preprint arXiv:2003.07884},
year = {2022}
}