Carleman estimates for a magnetohydrodynamics system and application to inverse source problems
Analysis of PDEs
2022-03-18 v2
Abstract
In this article, we consider a linearized magnetohydrodynamics system for incompressible flow in a three-dimensional bounded domain. We first prove two kinds of Carleman estimates. This is done by combining the Carleman estimates for the parabolic and the elliptic equations. Then we apply the Carleman estimates to prove Holder type stability results for some inverse source problems.
Cite
@article{arxiv.1806.07576,
title = {Carleman estimates for a magnetohydrodynamics system and application to inverse source problems},
author = {Xinchi Huang and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1806.07576},
year = {2022}
}
Comments
36 pages