Stability inequality for a semilinear elliptic inverse problem
Analysis of PDEs
2020-09-08 v2
Abstract
We establish a logarithmic stability inequality for the inverse problem of determining the non linear term, appearing in a semilinear BVP, from the corresponding Dirichlet-to-Neumann map (abbreviated to DtN map in the rest of this text). Our result can be seen as a stability inequality for an earlier uniqueness result by Isakov and Sylvester [Commun. Pure Appl. Math. 47 (1994), 1403-1410].
Cite
@article{arxiv.2001.10940,
title = {Stability inequality for a semilinear elliptic inverse problem},
author = {Mourad Choulli and Guanghui Hu and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:2001.10940},
year = {2020}
}