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arXiv · 1407.4207

Dirichlet forms for singular diffusion in higher dimensions

Uta Freiberg·Christian Seifert
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Abstract

We describe singular diffusion in bounded subsets $\Omega$ of $\mathbb{R}^n$ by form methods and characterize the associated operator. We also prove positivity and contractivity of the corresponding semigroup. This results in a description of a stochastic process moving according to classical diffusion in one part of $\Omega$, where jumps are allowed through the rest of $\Omega$.

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Uta Freiberg, Christian Seifert. 2014-07-16. Dirichlet forms for singular diffusion in higher dimensions. https://arxiv.org/abs/1407.4207

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