Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition
Analysis of PDEs
2014-12-17 v1
Abstract
In this paper we consider an initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal 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.1412.5021,
title = {Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition},
author = {Alexander Gladkov and Tatiana Kavitova},
journal= {arXiv preprint arXiv:1412.5021},
year = {2014}
}