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

Tapio Kurkinen; Jarkko Siltakoski

doi:10.1007/s11118-024-10141-9

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arXiv · 2308.13443

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

Tapio Kurkinen·Jarkko Siltakoski

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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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Tapio Kurkinen, Jarkko Siltakoski. 2023-08-25. Intrinsic Harnack's inequality for a general nonlinear parabolic equation in non-divergence form. https://doi.org/10.1007/s11118-024-10141-9

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