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

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

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.