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Mathematische Nachrichten
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Preprint . 2022
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https://dx.doi.org/10.48550/ar...
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Maximum principle for stable operators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Jul 2023Embargo end date: 01 Jan 2022 Germany English Publisher:WileyJournal:Mathematische Nachrichten, volume 296, pages 5,684-5,702 (issn: 0025-584X, eissn: 1522-2616, Copyright policy )Funded by:DFG | Searching for the regular..., DFG | unidentified
Authors: Grube, Florian; Hensiek, Thorben;

doi: 10.1002/mana.202200354 , 10.48550/arxiv.2206.15315

arXiv: http://arxiv.org/abs/2206.15315

Maximum principle for stable operators

Abstract

AbstractWe prove a weak maximum principle for nonlocal symmetric stable operators including the fractional Laplacian. The main focus of this work is on minimal regularity assumptions of the functions under consideration.

Country
Germany
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Keywords

Mathematics - Analysis of PDEs, maximum principle, 35B50, 35D30, 47G20, 60G52, FOS: Mathematics, nonlocal symmetric stable operator, 510, Analysis of PDEs (math.AP)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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