Intrinsic Harnack’s Inequality for a General Nonlinear Parabolic Equation in Non-divergence Form

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2024年4月25日

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Tapio Kurkinen,
Jarkko Siltakoski

摘要

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.