Existence and Nonexistence of Interfaces of Weak Solutions for Nonlinear Degenerate Parabolic Systems

Abstract

The existence and nonexistence of interfaces of weak solutions for nonlinear degenerate parabolic systems \frac{∂u_i}{∂t} - div (|∇u|^{p-2}∇u_i) = 0, i = 1, 2, …, m with p > 1 are studied in this paper.