Intrinsic Harnack's inequality for a general nonlinear parabolic equation in non-divergence form

2023/08/25 by Kurkinen, Tapio, Siltakoski, Jarkko · 1 citation
#35D40 #35K55 #35K67 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.13443

Abstract

We prove the intrinsic Harnack's inequality for a general form of a parabolic equation that generalizes both the standard parabolic p-Laplace equation and the normalized version arising from stochastic game theory. We prove each result for the optimal range of exponents and ensure that we get stable constants.

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