Global Hs,2+δ estimates for weak solutions of fractional nonlocal divergence form equations

Zhenjie Li; Lihe Wang; Chunqin Zhou

doi:10.1007/s11868-025-00712-8

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$Global Hs,2+δ estimates for weak solutions of fractional nonlocal divergence form equations$

Journal article

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Global Hs,2+δ estimates for weak solutions of fractional nonlocal divergence form equations

Zhenjie Li, Lihe Wang and Chunqin Zhou

Journal of pseudo-differential operators and applications, Vol.16(3), 48

09/2025

DOI: 10.1007/s11868-025-00712-8

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Abstract

In this paper, we establish the global H s,2+δ estimate for weak solutions of fractional nonlocal divergence form equations by an approach involving inverse Hölder inequality and the Hardy-Littlewood maximal function.

Algebra

Mathematics

Partial Differential Equations

Analysis

Applications of Mathematics

Functional Analysis

Mathematics and Statistics

Operator Theory

Details

Title: Subtitle: Global Hs,2+δ estimates for weak solutions of fractional nonlocal divergence form equations
Creators: Zhenjie Li - Shanghai Jiao Tong University
Lihe Wang - University of Iowa
Chunqin Zhou - Shanghai Jiao Tong University
Resource Type: Journal article
Publication Details: Journal of pseudo-differential operators and applications, Vol.16(3), 48
DOI: 10.1007/s11868-025-00712-8
ISSN: 1662-9981
eISSN: 1662-999X
Publisher: Springer International Publishing
Grant note: 12031012 / National Natural Science Fundation of China 2021M692085 / China Postdoctoral Science Foundation (http://dx.doi.org/10.13039/501100002858)
Language: English
Date published: 09/2025
Academic Unit: Mathematics
Record Identifier: 9984832089902771

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