Holder continuity with exponent (1+alpha)/2 in the time variable for solutions of parabolic equations

We consider the regularity of solutions for some parabolic equations. We show Holder continuity with exponent $(1+\alpha )/2$, with respect to the time variable, when the gradient in the space variable of the solution has the Holder continuity with exponent $\alpha $.

Bibliographic Details
Main Author: Junichi Aramaki
Format: Article
Language:English
Published: Texas State University 2015-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/96/abstr.html