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Boundary regularity for a general nonlinear parabolic equation in non-divergence form

Boundary regularity for a general nonlinear parabolic equation in non-divergence form

We characterize regular boundary points in terms of a barrier family 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. Using this result we prove geometric conditions that ensure regularity by constructing suitable barrier …