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arXiv · 1610.06303

Weak Solution of a Doubly Degenerate Parabolic Equation

Di Kang·Tharathep Sangsawang·Jialun Zhang
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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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Di Kang, Tharathep Sangsawang, Jialun Zhang. 2016-10-20. Weak Solution of a Doubly Degenerate Parabolic Equation. https://arxiv.org/abs/1610.06303

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