Hs,p regularity theory for a class of nonlocal elliptic equations

Nowak SN (Accepted)
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 195: 111730.

Zeitschriftenaufsatz | Angenommen | Englisch
 
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Abstract / Bemerkung
In this paper, we study the regularity of weak solutions to a class of nonlocal elliptic equations in Bessel potential spaces H-s,H-p. Our main results can be seen as an extension of the well-known W-1,W-p regularity theory for local second-order elliptic equations in divergence form to the nonlocal setting. (C) 2019 Elsevier Ltd. All rights reserved.
Stichworte
Nonlocal operators; Elliptic equations; Regularity theory; Bessel; potential spaces
Erscheinungsjahr
2020
Zeitschriftentitel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Band
195
Art.-Nr.
111730
ISSN
0362-546X
eISSN
1873-5215
Page URI
https://pub.uni-bielefeld.de/record/2942713

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Nowak SN. Hs,p regularity theory for a class of nonlocal elliptic equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. Accepted;195: 111730.
Nowak, S. N. (Accepted). Hs,p regularity theory for a class of nonlocal elliptic equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 195, 111730. doi:10.1016/j.na.2019.111730
Nowak, S. N. (Accepted). Hs,p regularity theory for a class of nonlocal elliptic equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 195:111730.
Nowak, S.N., Accepted. Hs,p regularity theory for a class of nonlocal elliptic equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 195: 111730.
S.N. Nowak, “Hs,p regularity theory for a class of nonlocal elliptic equations”, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 195, Accepted, : 111730.
Nowak, S.N.: Hs,p regularity theory for a class of nonlocal elliptic equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 195, : 111730 (Accepted).
Nowak, Simon Noah. “Hs,p regularity theory for a class of nonlocal elliptic equations”. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 195 (Accepted): 111730.