English

Semigroups on generalized Sobolev spaces associated with Laplacians with applications Stochastic PDEs with singular boundary conditions

Mathematical Physics 2025-05-20 v1 math.MP Probability

Abstract

Laplacians associated with domains with singular boundary conditions and are considered together with semigroups on generalized Sobolev spaces, they generate. Applications are given to stochastic PDEs with singular boundary conditions.

Keywords

Cite

@article{arxiv.2505.12559,
  title  = {Semigroups on generalized Sobolev spaces associated with Laplacians with applications Stochastic PDEs with singular boundary conditions},
  author = {Sergio Albeverio and Zdzisław Brzeźniak and Szymon Peszat},
  journal= {arXiv preprint arXiv:2505.12559},
  year   = {2025}
}