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On the Harnack inequality for parabolic minimizers in metric measure spaces

On the Harnack inequality for parabolic minimizers in metric measure spaces

In this note we consider problems related to parabolic partial differential equations in geodesic metric measure spaces, that are equipped with a doubling measure and a Poincaré inequality. We prove a location and scale invariant Harnack inequality for a minimizer of a variational problem related to a doubly non-linear parabolic …