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Journal of Inequalities and Applications
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The Dirichlet problem for a class of nonlinear degenerate parabolic equations

Journal of Inequalities and Applications volume 2005, Article number: 748214 (2005) Cite this article

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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  1. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China

    Pigong Han

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  1. Pigong Han
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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