Skip to main content
  • Research Article
  • Open access
  • Published:

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pigong Han.

Rights and permissions

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.

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Published:

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