Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 36, pp. 1-17.

Title: Existence and regularity results for the gradient flow for 
       p-harmonic maps

Author: Masashi Misawa (The Univ. of Electro-Communications, Japan)

Abstract: 
We establish existence and regularity for a solution of
the evolution problem associated to p-harmonic maps
if the target manifold has a nonpositive sectional curvature.  

Submitted August 29, 1998. Published December 21, 1998.
Math Subject Classification: 35K45, 35K65.
Key Words: p-harmonic map; gradient flow; degenerate parabolic system.