Open Access

The Dirichlet problem for a class of nonlinear degenerate parabolic equations

Journal of Inequalities and Applications20052005:748214

DOI: 10.1155/JIA.2005.395

Received: 6 June 2003

Published: 31 August 2005

Abstract

We study the first boundary value problem for a class of nonlinear degenerate parabolic equations https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.395/MediaObjects/13660_2003_Article_1549_IEq1_HTML.gif . 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 https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.395/MediaObjects/13660_2003_Article_1549_IEq2_HTML.gif space.

Authors’ Affiliations

(1)
Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences

Copyright

© Han. 2005