Boundary Value Problems
Volume 2009 (2009), Article ID 739097, 23 pages
doi:10.1155/2009/739097
Research Article

On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations

Fengquan Li

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China

Received 6 January 2009; Revised 12 March 2009; Accepted 22 May 2009

Academic Editor: Sandro Salsa

Copyright © 2009 Fengquan Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We will use the concept of renormalized solution to initial boundary value problems with equivalued surface for nonlinear parabolic equations, discuss the existence and uniqueness of renormalized solution, and give the relation between renormalized solutions and weak solutions.