A note on $W^{1,p}$ estimates for quasilinear parabolic equations

Abstract

This work deals with the study of the $W^{1,p}$ regularity for the solutions to parabolic equations in divergence form. An argument by perturbation based in real analysis is used.

Keywords

• semilinear parabolic equations
• gradient estimates
• Calderon-Zygmund theory.