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math.PR2012
Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms
Janna Lierl, Laurent Saloff-Coste
In the context of a metric measure Dirichlet space satisfying volume doubling and Poincaré inequality, we prove the parabolic Harnack inequality for weak solutions of the heat equa…
math.PR2012
Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces
Janna Lierl
We prove a scale-invariant boundary Harnack principle for inner uni- form domains in metric measure Dirichlet spaces. We assume that the Dirichlet form is symmetric, strongly local…