Weak Solution of a Doubly Degenerate Parabolic Equation

2016/10/20 by Kang, Di, Sangsawang, Tharathep, Zhang, Jialun
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.06303

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.

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