H\"older regularity for degenerate parabolic double-phase equations
Analysis of PDEs
2025-02-04 v2
Abstract
We prove that bounded weak solutions to degenerate parabolic double-phase equations of -Laplace type are locally H\"older continuous. The proof is based on phase analysis and methods for the -Laplace equation. In particular, the phase analysis determines whether the double-phase equation is locally similar to the -Laplace or the -Laplace equation.
Cite
@article{arxiv.2404.19111,
title = {H\"older regularity for degenerate parabolic double-phase equations},
author = {Wontae Kim and Kristian Moring and Lauri Särkiö},
journal= {arXiv preprint arXiv:2404.19111},
year = {2025}
}
Comments
The revision has been made according to the referee's comments