Weak solutions for a viscous p-Laplacian equation

In this paper, we consider the pseudo-parabolic equation $ u_t-kDelta u_t=mathop{ m div}(| abla u|^{p-2} abla u)$. By using the time-discrete method, we establish the existence of weak solutions, and also discuss the uniqueness.

Bibliographic Details
Main Author: Changchun Liu
Format: Article
Language:English
Published: Texas State University 2003-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/63/abstr.html