English

Function spaces and extension results for nonlocal Dirichlet problems

Analysis of PDEs 2018-09-24 v2

Abstract

We study function spaces and extension results in relation with Dirichlet problems involving integrodifferential operators. For such problems, data are prescribed on the complement of a given domain in the Euclidean space. We introduce a function space that serves as a trace space for nonlocal Dirichlet problems and study related extension results.

Keywords

Cite

@article{arxiv.1612.01628,
  title  = {Function spaces and extension results for nonlocal Dirichlet problems},
  author = {Moritz Kassmann and Bartlomiej Dyda},
  journal= {arXiv preprint arXiv:1612.01628},
  year   = {2018}
}
R2 v1 2026-06-22T17:14:19.435Z