Weak Solution of a Doubly Degenerate Parabolic Equation
Analysis of PDEs
2017-03-02 v2
Abstract
This paper studies a fourth-order, nonlinear, doubly-degenerate parabolic equation derived from the thin film equation in spherical geometry. A regularization method is used to study the equation and several useful estimates are obtained. The main result of this paper is to prove the existence of a weak solution of the equation in a weighted Sobolev space.
Keywords
Cite
@article{arxiv.1610.06303,
title = {Weak Solution of a Doubly Degenerate Parabolic Equation},
author = {Di Kang and Tharathep Sangsawang and Jialun Zhang},
journal= {arXiv preprint arXiv:1610.06303},
year = {2017}
}