Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms

Published 29 May 2012 in math.PR and math.AP | (1205.6493v8)

Abstract: In the context of a metric measure Dirichlet space satisfying volume doubling and Poincar\'e inequality, we prove the parabolic Harnack inequality for weak solutions of the heat equation associated with local nonsymmetric bilinear forms. In particular, we show that these weak solutions are locally bounded.

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