Hs,p regularity theory for a class of nonlocal elliptic equations
Nowak SN (2020)
Nonlinear Analysis - Theory, Methods and Applications 195: 111730.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Einrichtung
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 and 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 and Applications. 2020;195: 111730.
Nowak, S. N. (2020). Hs,p regularity theory for a class of nonlocal elliptic equations. Nonlinear Analysis - Theory, Methods and Applications, 195, 111730. https://doi.org/10.1016/j.na.2019.111730
Nowak, Simon Noah. 2020. “Hs,p regularity theory for a class of nonlocal elliptic equations”. Nonlinear Analysis - Theory, Methods and Applications 195: 111730.
Nowak, S. N. (2020). Hs,p regularity theory for a class of nonlocal elliptic equations. Nonlinear Analysis - Theory, Methods and Applications 195:111730.
Nowak, S.N., 2020. Hs,p regularity theory for a class of nonlocal elliptic equations. Nonlinear Analysis - Theory, Methods and Applications, 195: 111730.
S.N. Nowak, “Hs,p regularity theory for a class of nonlocal elliptic equations”, Nonlinear Analysis - Theory, Methods and Applications, vol. 195, 2020, : 111730.
Nowak, S.N.: Hs,p regularity theory for a class of nonlocal elliptic equations. Nonlinear Analysis - Theory, Methods and Applications. 195, : 111730 (2020).
Nowak, Simon Noah. “Hs,p regularity theory for a class of nonlocal elliptic equations”. Nonlinear Analysis - Theory, Methods and Applications 195 (2020): 111730.
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