Regularity results for a penalized boundary obstacle problem
Analysis of PDEs
2020-08-17 v2
Abstract
In this paper we are concerned with a two-penalty boundary obstacle problem of interest in thermics, fluid dynamics and electricity. Specifically, we prove existence, uniqueness and optimal regularity of the solutions, and we establish structural properties of the free boundary.
Cite
@article{arxiv.2003.00995,
title = {Regularity results for a penalized boundary obstacle problem},
author = {Donatella Danielli and Rohit Jain},
journal= {arXiv preprint arXiv:2003.00995},
year = {2020}
}
Comments
To appear in Mathematics in Engineering, special issue in honor of Sandro Salsa