A Serrin-type problem with partial knowledge of the domain
Analysis of PDEs
2020-05-12 v1
Abstract
We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain , when the equation is known on only, for some open subset . The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities.
Cite
@article{arxiv.2005.04859,
title = {A Serrin-type problem with partial knowledge of the domain},
author = {Serena Dipierro and Giorgio Poggesi and Enrico Valdinoci},
journal= {arXiv preprint arXiv:2005.04859},
year = {2020}
}