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

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 $.

Keywords

• Holder continuity
• parabolic equation