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A probabilistic approach to a non-local quadratic form and its connection to the Neumann boundary condition problem

Probability 2019-09-25 v1

Abstract

In this paper, we look at a probabilistic approach to a non-local quadratic form that has lately attracted some interest. This form is related to a recently introduced non-local normal derivative. The goal is to construct two Markov process: one corresponding to that form and the other which is related to a probabilistic interpretation of the Neuman problem. We also study the Dirichlet-to-Neumann operator for non-local operators.

Keywords

Cite

@article{arxiv.1909.10687,
  title  = {A probabilistic approach to a non-local quadratic form and its connection to the Neumann boundary condition problem},
  author = {Zoran Vondraček},
  journal= {arXiv preprint arXiv:1909.10687},
  year   = {2019}
}

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21 pages