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The Dirichlet problem for a class of nonlinear degenerate parabolic equations

Abstract

We study the first boundary value problem for a class of nonlinear degenerate parabolic equations. We first consider its regularized problem and establish some estimates. Based on these estimates, we prove the existence and uniqueness of the generalized solutions in space.

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Correspondence to Pigong Han.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Han, P. The Dirichlet problem for a class of nonlinear degenerate parabolic equations. J Inequal Appl 2005, 748214 (2005). https://doi.org/10.1155/JIA.2005.395

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  • DOI: https://doi.org/10.1155/JIA.2005.395