KOPS - The Institutional Repository of the University of Konstanz

Elliptic problems with rough boundary data in generalized Sobolev spaces

Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können kommenden Montag und Dienstag keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted next Monday and Tuesday.)

Elliptic problems with rough boundary data in generalized Sobolev spaces

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

ANOP, Anna, Robert DENK, Aleksandr MURACH, 2021. Elliptic problems with rough boundary data in generalized Sobolev spaces. In: Communications on Pure & Applied Analysis. American Institute of Mathematical Sciences (AIMS). 20(2), pp. 697-735. ISSN 1534-0392. eISSN 1553-5258. Available under: doi: 10.3934/cpaa.2020286

@article{Anop2021Ellip-53404, title={Elliptic problems with rough boundary data in generalized Sobolev spaces}, year={2021}, doi={10.3934/cpaa.2020286}, number={2}, volume={20}, issn={1534-0392}, journal={Communications on Pure & Applied Analysis}, pages={697--735}, author={Anop, Anna and Denk, Robert and Murach, Aleksandr} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/53404"> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-04-20T08:17:55Z</dcterms:available> <dc:language>eng</dc:language> <dc:contributor>Murach, Aleksandr</dc:contributor> <dcterms:abstract xml:lang="eng">We investigate regular elliptic boundary-value problems in boun\-ded domains and show the Fredholm property for the related operators in an extended scale formed by inner product Sobolev spaces (of arbitrary real orders) and corresponding interpolation Hilbert spaces. In particular, we can deal with boundary data with arbitrary low regularity. In addition, we show interpolation properties for the extended scale, embedding results, and global and local a priori estimates for solutions to the problems under investigation. The results are applied to elliptic problems with homogeneous right-hand side and to elliptic problems with rough boundary data in Nikolskii spaces, which allows us to treat some cases of white noise on the boundary.</dcterms:abstract> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-04-20T08:17:55Z</dc:date> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Anop, Anna</dc:contributor> <dc:contributor>Denk, Robert</dc:contributor> <dc:creator>Anop, Anna</dc:creator> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/53404"/> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:creator>Murach, Aleksandr</dc:creator> <dc:creator>Denk, Robert</dc:creator> <dcterms:issued>2021</dcterms:issued> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dcterms:title>Elliptic problems with rough boundary data in generalized Sobolev spaces</dcterms:title> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Search KOPS


My Account