English

Semilinear equations for non-local operators: beyond the fractional Laplacian

Analysis of PDEs 2021-02-08 v3 Probability

Abstract

We study semilinear problems in general bounded open sets for non-local operators with exterior and boundary conditions. The operators are more general than the fractional Laplacian. We also give results in case of bounded C1,1C^{1,1} open sets.

Keywords

Cite

@article{arxiv.2010.06240,
  title  = {Semilinear equations for non-local operators: beyond the fractional Laplacian},
  author = {Ivan Biočić and Zoran Vondraček and Vanja Wagner},
  journal= {arXiv preprint arXiv:2010.06240},
  year   = {2021}
}