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

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 Added by Janna Lierl
 Publication date 2012
  fields
and research's language is English




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In the context of a metric measure Dirichlet space satisfying volume doubling and Poincare 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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