Existence and uniqueness of bounded weak solution for non-linear parabolic boundary value problem with equivalued surface

摘要

In this paper, we discuss the existence and uniqueness of bounded weak solution for non-linear parabolic boundary value problem with equivalued surface and correct the mistake in Zhang Xu (Math. Meth. Appl. Sci. 1999; 22:259). The approach is based on L-infinity estimate of solution. Copyright (C) 2004 John Wiley Sons, Ltd.