TITLE:
Solutions with Dead Cores for a Parabolic P-Laplacian Equation
AUTHORS:
Zhengce Zhang, Yanyan Li
KEYWORDS:
Parabolic P-Laplacian Equation, Steady State, Dead Core, Decay Estimates
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.5,
September
21,
2011
ABSTRACT: We study the solutions with dead cores and the decay estimates for a parabolic p-Laplacian equation with absorption by sub- and supersolution method. Special attention is given to the case where the solution of the steady-state problem vanishes in an interior region.