Decay and Growth for a Nonlinear Parabolic Equation

Authors: 
Sergiu Hart and Benjamin Weiss
Abstract: 

We prove a difference equation analogue for the decay-of-mass result for the nonlinear parabolic equation ut = Δu + μ |∇u| when μ < 0, and a new growth result when μ > 0.

Date: 
October, 2003
Published in: 
Proceedings of the American Mathematical Society 133 (2005), 2613-2620
Number: 
342