Inverse source problem and the continuation for a fourth-order parabolic equation in general dimensions
Analysis of PDEs
2020-09-25 v1
Abstract
In this article, for a fourth-order parabolic equation which is closely related for example to the Cahn-Hilliard equation, we study an inverse source problem by interior data and the continuation of solution from lateral Cauchy data. Our method relies on a Carleman estimate and proves conditional stability for both problems.
Cite
@article{arxiv.2009.11592,
title = {Inverse source problem and the continuation for a fourth-order parabolic equation in general dimensions},
author = {O. Yu. Imanuvilov and M. Yamamoto},
journal= {arXiv preprint arXiv:2009.11592},
year = {2020}
}