Compactness of $M$-uniform domains and optimal thermal insulation problems
Analysis of PDEs
2020-08-26 v1
Abstract
In this paper, we will consider an optimal shape problem of heat insulation introduced by Bucur-Buttazzo-Nitsch. We will establish the existence of optimal shapes in the class of -uniform domains. We will also show that balls are stable solutions of the optimal heat insulation problem.
Keywords
Cite
@article{arxiv.2008.11144,
title = {Compactness of $M$-uniform domains and optimal thermal insulation problems},
author = {Hengrong Du and Qinfeng Li and Changyou Wang},
journal= {arXiv preprint arXiv:2008.11144},
year = {2020}
}
Comments
32 pages