Function spaces and extension results for nonlocal Dirichlet problems

Dyda B, Kaßmann M (2019)
JOURNAL OF FUNCTIONAL ANALYSIS 277(11): UNSP 108134.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
We study function spaces and extension results in relation with Dirichlet problems involving integrodifferential operators. For such problems, data are prescribed on the complement of a given domain Omega subset of R-d. We introduce a function space that serves as a trace space for nonlocal Dirichlet problems and study related extension results. (C) 2018 Published by Elsevier Inc.
Stichworte
Nonlocal Dirichlet problem; Trace theorem; Extension operator; Integrodifferential equation
Erscheinungsjahr
2019
Zeitschriftentitel
JOURNAL OF FUNCTIONAL ANALYSIS
Band
277
Ausgabe
11
Art.-Nr.
UNSP 108134
ISSN
0022-1236
eISSN
1096-0783
Page URI
https://pub.uni-bielefeld.de/record/2938373

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Dyda B, Kaßmann M. Function spaces and extension results for nonlocal Dirichlet problems. JOURNAL OF FUNCTIONAL ANALYSIS. 2019;277(11): UNSP 108134.
Dyda, B., & Kaßmann, M. (2019). Function spaces and extension results for nonlocal Dirichlet problems. JOURNAL OF FUNCTIONAL ANALYSIS, 277(11), UNSP 108134. doi:10.1016/j.jfa.2018.10.024
Dyda, B., and Kaßmann, M. (2019). Function spaces and extension results for nonlocal Dirichlet problems. JOURNAL OF FUNCTIONAL ANALYSIS 277:UNSP 108134.
Dyda, B., & Kaßmann, M., 2019. Function spaces and extension results for nonlocal Dirichlet problems. JOURNAL OF FUNCTIONAL ANALYSIS, 277(11): UNSP 108134.
B. Dyda and M. Kaßmann, “Function spaces and extension results for nonlocal Dirichlet problems”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 277, 2019, : UNSP 108134.
Dyda, B., Kaßmann, M.: Function spaces and extension results for nonlocal Dirichlet problems. JOURNAL OF FUNCTIONAL ANALYSIS. 277, : UNSP 108134 (2019).
Dyda, Bartlomiej, and Kaßmann, Moritz. “Function spaces and extension results for nonlocal Dirichlet problems”. JOURNAL OF FUNCTIONAL ANALYSIS 277.11 (2019): UNSP 108134.