Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary condition
Analysis of PDEs
2012-04-27 v1
Abstract
This paper is concerned with the asymptotic behavior of the solution to the semilinear parabolic equation with dynamical boundary condition. Our main goal is to prove the convergence of a global solution to an equilibrium as time goes to infinity by means of a suitable \L ojasiewicz--Simon type inequality.
Keywords
Cite
@article{arxiv.1204.6018,
title = {Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary condition},
author = {Hao Wu},
journal= {arXiv preprint arXiv:1204.6018},
year = {2012}
}