Open Access

The Dirichlet problem for a class of nonlinear degenerate parabolic equations

Journal of Inequalities and Applications20052005:748214

https://doi.org/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 . 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.

Authors’ Affiliations

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

Copyright

© Han. 2005