Holder regularity for signed solutions to singular porous medium type equations

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

Bibliographic Details
Main Author: Simona Puglisi
Format: Article
Language:English
Published: Texas State University 2012-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/200/abstr.html