Cahn-Hilliard approach to some degenerate parabolic equations with dynamic boundary conditions
Analysis of PDEs
2016-08-30 v1
Abstract
In this paper the well-posedness of some degenerate parabolic equations with a dynamic boundary condition is considered. To characterize the target degenerate parabolic equation from the Cahn-Hilliard system, the nonlinear term coming from the convex part of the double-well potential is chosen using a suitable maximal monotone graph. The main topic of this paper is the existence problem under an assumption for this maximal monotone graph for treating a wider class. The existence of a weak solution is proved.
Keywords
Cite
@article{arxiv.1608.07913,
title = {Cahn-Hilliard approach to some degenerate parabolic equations with dynamic boundary conditions},
author = {Takeshi Fukao},
journal= {arXiv preprint arXiv:1608.07913},
year = {2016}
}