Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition
Analysis of PDEs
2016-02-17 v1
Abstract
In this paper we consider an initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal Neumann boundary condition. We prove comparison principle, the existence theorem of a local solution and study the problem of uniqueness and nonuniqueness.
Keywords
Cite
@article{arxiv.1602.05018,
title = {Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition},
author = {Alexander Gladkov},
journal= {arXiv preprint arXiv:1602.05018},
year = {2016}
}