Uniqueness of continuation for semilinear elliptic equations
Analysis of PDEs
2022-08-18 v1
Abstract
We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case. As by product we obtain a new stability estimate in the linear case. We also show the so-called strong uniqueness of continuation and the uniqueness of continuation from a set of positive measure. These results are derived by using a linearization procedure.
Keywords
Cite
@article{arxiv.2208.08378,
title = {Uniqueness of continuation for semilinear elliptic equations},
author = {Mourad Choulli},
journal= {arXiv preprint arXiv:2208.08378},
year = {2022}
}