A unified approach to the Holder regularity of solutions to degenerate and singular parabolic equations

摘要

We give unified proofs of the well-known Holder regularity of locally bounded solutions to parabolic equations with structures modeled after the parabolic p-Laplace equation and the porous medium equation. This approach is based on expansion of positivity. The proofs make no use of logarithmic energy estimates. (C) 2019 Elsevier Inc. All rights reserved.