On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains

Simone Creo; Maria Rosaria Lancia; Alexander Nazarov; Paola Vernole

On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains

Analysis of PDEs 2017-02-22 v1

Authors: Simone Creo , Maria Rosaria Lancia , Alexander Nazarov , Paola Vernole

Abstract

We establish the regularity results for solutions of nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional domains.

Keywords

nonlocal equations regularity theory sobolev regularity of partial differential equations

Cite

@article{arxiv.1702.06324,
  title  = {On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains},
  author = {Simone Creo and Maria Rosaria Lancia and Alexander Nazarov and Paola Vernole},
  journal= {arXiv preprint arXiv:1702.06324},
  year   = {2017}
}