Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 63, pp. 1-15.

Title: Weak solutions for a viscous p-Laplacian equation

Author: Changchun Liu (Jilin Univ., China)

Abstract: 
  In this paper,  we consider the pseudo-parabolic equation
  $ u_t-k\Delta u_t=\mathop{\rm div}(|\nabla u|^{p-2}\nabla u)$.
  By using the time-discrete method, we establish the existence
  of weak solutions, and also discuss the uniqueness.
 
Submitted August 5, 2002. Published June 10, 2003.
Math Subject Classifications: 35G25, 35Q99, 35K55, 35K70.
Key Words: Pseudo-parabolic equations; existence; uniqueness.