An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions
Analysis of PDEs
2021-05-06 v1 Optimization and Control
Abstract
We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability estimate for the relevant potentials using a recent Carleman estimate, and a logarithmic stability result for the initial temperatures by a logarithmic convexity method, based on observations in an arbitrary subdomain.
Keywords
Cite
@article{arxiv.2103.15116,
title = {An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions},
author = {E. M. Ait Ben Hassi and S. E. Chorfi and L. Maniar},
journal= {arXiv preprint arXiv:2103.15116},
year = {2021}
}
Comments
17 pages, to be published in Journal of Inverse and Ill-posed Problems