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.
X. F. Chen, Y. W. Qi and M. X. Wang, “Long Time Behavior of Solutions to P-Laplacian Equation with Ab-sorption,” SIAM Journal on Mathematical Analysis, Vol. 35, No. 1, 2003, pp. 123-134.