$L^q$-Carleman estimates with boundary observations and applications to inverse problems
Analysis of PDEs
2025-04-29 v2
Abstract
We consider coupled linear parabolic systems and we establish estimates in -norm for the sources in terms of observations on the corresponding solutions on a part of the boundary. The main tool is a family of Carleman estimates in -norm with boundary observations.
Cite
@article{arxiv.2311.15692,
title = {$L^q$-Carleman estimates with boundary observations and applications to inverse problems},
author = {Elena-Alexandra Melnig},
journal= {arXiv preprint arXiv:2311.15692},
year = {2025}
}