Harnack inequality for degenerate fully nonlinear parabolic equations
Analysis of PDEs
2025-06-13 v1
Abstract
We consider degenerate fully nonlinear parabolic equations, which generalize the p-parabolic equation with to nondivergence form operators. We prove an intrinsic Harnack inequality for nonnegative solutions and a weak Harnack inequality for nonnegative supersolutions. These results can be seen as the nondivergence form counterparts of the results by DiBenedetto, Gianazza and Vespri (Acta Math. 2008) and Kuusi (Ann. Sc. Norm. Super. Pisa 2008).
Keywords
Cite
@article{arxiv.2506.10608,
title = {Harnack inequality for degenerate fully nonlinear parabolic equations},
author = {Vedansh Arya and Vesa Julin},
journal= {arXiv preprint arXiv:2506.10608},
year = {2025}
}