Nonlocal self-improving properties: a functional analytic approach
| Autor: | Moritz Egert, Olli Saari, Pascal Auscher, Simon Bortz |
|---|---|
| Přispěvatelé: | Laboratoire de Mathématiques d'Orsay (LM-Orsay), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 (LAMFA), Université de Picardie Jules Verne (UPJV)-Centre National de la Recherche Scientifique (CNRS), University of Minnesota [Twin Cities] (UMN), University of Minnesota System, Aalto University, ANR-12-BS01-0013,HAB,Aux frontières de l'analyse Harmonique(2012) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
35K90
35D30 non-local and stable-like operators General Mathematics Mathematical proof [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 01 natural sciences nonlocal and stable-like operators Mathematics - Analysis of PDEs Simple (abstract algebra) 46B70 Classical Analysis and ODEs (math.CA) FOS: Mathematics Applied mathematics [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] fractional differentiability 0101 mathematics Mathematics Flexibility (engineering) self-improving properties analytic perturbation arguments 010102 general mathematics Cauchy problem for non-local parabolic equations Cauchy problem for nonlocal parabolic equations Elliptic equations Parabolic partial differential equation 010101 applied mathematics MSC 2010 Primary: 35R11 35D30 Secondary: 26A33 46B70 35K90 35R11 Mathematics - Classical Analysis and ODEs 26A33 Analysis of PDEs (math.AP) |
| Zdroj: | Tunisian J. Math. 1, no. 2 (2019), 151-183 Tunisian Journal of Mathematics Tunisian Journal of Mathematics, Mathematical Science Publishers, 2019, 1 (2), pp.151-183 |
| ISSN: | 2576-7658 |
| Popis: | 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 Comment: Fixed typos |
| Databáze: | OpenAIRE |
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