Abstract
A functional analytic approach to obtaining self-improving properties of solutions to linear nonlocal 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 nonautonomous parabolic equations with nonlocal elliptic part and questions related to maximal regularity.
Citation
Pascal Auscher. Simon Bortz. Moritz Egert. Olli Saari. "Nonlocal self-improving properties: a functional analytic approach." Tunisian J. Math. 1 (2) 151 - 183, 2019. https://doi.org/10.2140/tunis.2019.1.151
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