摘要

In this article, we prove that viscosity solutions of the parabolic inhomogeneous equations @@@ n + p/p u(t) - Delta(N)(p) u = f(x, t) @@@ can be characterized using asymptotic mean value properties for all p >= 1, including p = 1 and p = infinity. We also obtain a comparison principle for the non-negative or non-positive inhomogeneous term f for the corresponding initial-boundary value problem and this in turn implies the uniqueness of solutions to such a problem.

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