English

Non-local self-improving properties: A functional analytic approach

Analysis of PDEs 2018-05-23 v2 Classical Analysis and ODEs

Abstract

A functional analytic approach to obtaining self-improving properties of solutions to linear non-local elliptic equations is presented. It yields conceptually simple and very short proofs of some previous results due to Kuusi-Mingione-Sire and Bass-Ren. Its flexibility is demonstrated by new applications to non-autonomous parabolic equations with non-local elliptic part and questions related to maximal regularity

Keywords

Cite

@article{arxiv.1707.06294,
  title  = {Non-local self-improving properties: A functional analytic approach},
  author = {Pascal Auscher and Simon Bortz and Moritz Egert and Olli Saari},
  journal= {arXiv preprint arXiv:1707.06294},
  year   = {2018}
}

Comments

Fixed typos

R2 v1 2026-06-22T20:52:18.736Z