Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 15, pp. 1-6.

Title: Viscosity solutions to degenerate diffusion problems

Authors: Zu-Chi Chen  (Univ. of Science and Technology, Hefei, China)
         Yan-Yan Zhao (Univ. of Science and Technology, Hefei, China)

Abstract:
 This paper concerns the weak solutions to a  Cauchy problem
 in $R^N$  for a degenerate nonlinear parabolic equation.
 We obtain the  Holder regularity  of the weak solutions
 to this problem.
 
Submitted November 4, 2006. Published January 23, 2007.
Math Subject Classifications: 35K15, 35K55, 35K65.
Key Words: Viscosity solution; degenerate; Holder regularity.