Non-local self-improving properties: A functional analytic approach
Pascal Auscher, Simon Bortz, Moritz Egert, Olli Saari · HAL (Le Centre pour la Communication Scientifique Directe) · 2017
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