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math.FA2017
Neumann heat flow and gradient flow for the entropy on non-convex domains
Janna Lierl, Karl-Theodor Sturm
For large classes of non-convex subsets in or in Riemannian manifolds or in RCD-spaces we prove that the gradient flow for the Boltzmann entro…
math.FA2012
The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms
Janna Lierl, Laurent Saloff-Coste
This paper provides sharp Dirichlet heat kernel estimates in inner uniform domains, including bounded inner uniform domains, in the context of certain (possibly non-symmetric) bili…