Weak Solution of a Doubly Degenerate Parabolic Equation

Autor:	Kang, Di, Sangsawang, Tharathep, Zhang, Jialun
Rok vydání:	2016
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1610.06303 Zobrazit plný text záznamu View this record from Arxiv