Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 200, pp. 1-21.

Title: Holder regularity for signed solutions to singular porous 
       medium type equations
 
Author: Simona Puglisi (Univ. of Catania, Italy)

Abstract:
 We prove Holder regularity for bounded signed solution to 
 singular porous  medium type equations, whose prototype is
 $$
 u_t-\hbox{div}m|u|^{m-1}Du=0\quad\hbox{weakly in }E_T,
 $$
 with $m\in(0,1)$.

Submitted July 17, 2012. Published November 15, 2012.
Math Subject Classifications: 35K67, 35B65, 35B45.
Key Words: Singular parabolic equations; Holder continuity.