Existence and Nonuniqueness of Weak Solutions for a Degenerate Diffusion Equation

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Abstract

In this paper, we prove the existence and nonuniqueness of the weak solutions of the initial and boundary value problem for a nonlinear degenerate parabolic equation not in divergence form. Localization property of weak solutions will be also discussed.

Keywords:

Divergence form;degenerate parabolic equation;existence;non-uniqueness;localization
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Existence and Nonuniqueness of Weak Solutions for a Degenerate Diffusion Equation. (2005). Journal of Partial Differential Equations, 18(3), 267-286. https://global-sci.com/index.php/jpde/article/view/4051