Heat equation with dynamical boundary conditions of reactive-diffusive type
Analysis of PDEs
2016-01-28 v1 Mathematical Physics
math.MP
Abstract
This paper deals with the heat equation posed in a bounded regular domain coupled with a dynamical boundary condition of reactive-diffusive type, involving the Laplace-Beltrami operator. We prove well-posedness of the problem together with regularity of the solutions.
Keywords
Cite
@article{arxiv.1001.3642,
title = {Heat equation with dynamical boundary conditions of reactive-diffusive type},
author = {Juan Luis Vázquez and Enzo Vitillaro},
journal= {arXiv preprint arXiv:1001.3642},
year = {2016}
}
Comments
18 pages