Quantitative stability estimates for a two-phase Serrin-type overdetermined problem
Analysis of PDEs
2021-07-14 v1
Abstract
In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-phase elliptic operator in divergence form with piecewise constant coefficients. In particular, we consider the case where the two-phase overdetermined problem is close to the one-phase setting. First, we show quantitative stability estimates for the two-phase problem via a one-phase stability result. Furthermore, we prove non-existence for the corresponding inner problem by the aforementioned two-phase stability result.
Cite
@article{arxiv.2107.05889,
title = {Quantitative stability estimates for a two-phase Serrin-type overdetermined problem},
author = {Lorenzo Cavallina and Giorgio Poggesi and Toshiaki Yachimura},
journal= {arXiv preprint arXiv:2107.05889},
year = {2021}
}
Comments
23 pages, 5 figures