H\"{o}lder regularity for mixed local and nonlocal $p$-Laplace parabolic equations
Analysis of PDEs
2022-07-01 v2
Abstract
We give a unified proof of H\"{o}lder regularity of weak solutions for mixed local and nonlocal -Laplace type parabolic equations with the full range of exponents . Our proof is based on the expansion of positivity together with the energy estimate and De Giorgi type lemma.
Keywords
Cite
@article{arxiv.2112.08698,
title = {H\"{o}lder regularity for mixed local and nonlocal $p$-Laplace parabolic equations},
author = {Bin Shang and Chao Zhang},
journal= {arXiv preprint arXiv:2112.08698},
year = {2022}
}