English

Nonlocal operators with Neumann conditions

Probability 2024-11-14 v1

Abstract

We construct a strong Markov process corresponding to the Dirichlet form of Servadei and Valdinoci and use the process to solve the corresponding Neumann boundary problem for the fractional Laplacian and the half-line.

Keywords

Cite

@article{arxiv.2411.08220,
  title  = {Nonlocal operators with Neumann conditions},
  author = {Krzysztof Bogdan and Damian Fafuła and Paweł Sztonyk},
  journal= {arXiv preprint arXiv:2411.08220},
  year   = {2024}
}

Comments

85 pages

R2 v1 2026-06-28T19:57:46.150Z