Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 96, pp. 1-6.
Title: Holder continuity with exponent $(1+\alpha )/2$ in the time variable for
solutions of parabolic equations
Author: Junichi Aramaki (Tokyo Denki Univ., Hatoyama-machi, Japan)
Abstract:
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 $.
Submitted February 16, 2015. Published April 13, 2015.
Math Subject Classifications: 35A09, 35K10, 35D35.
Key Words: Holder continuity; parabolic equation.