Solvability of the heat equation with a nonlinear boundary condition
Analysis of PDEs
2017-04-27 v1
Abstract
We obtain necessary conditions and sufficient conditions for the solvability of the heat equation in a half-space of with a nonlinear boundary condition. Furthermore, we study the relationship between the life span of the solution and the behavior of the initial function.
Keywords
Cite
@article{arxiv.1704.07992,
title = {Solvability of the heat equation with a nonlinear boundary condition},
author = {Kotaro Hisa and Kazuhiro Ishige},
journal= {arXiv preprint arXiv:1704.07992},
year = {2017}
}