Publikation: Estimates for solutions of a parameter-elliptic multi-order system of differential equations
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2010
Autor:innen
Faierman, Melvin
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Integral Equations and Operator Theory. 2010, 66(3), pp. 327-365. ISSN 0378-620X. Available under: doi: 10.1007/s00020-010-1753-3
Zusammenfassung
This paper is concerned with a boundary value problem defined over a bounded region of Euclidean space, and in particular it is devoted to the establishment of a priori estimates for solutions of a parameter-elliptic multi-order system of differential equations under limited smoothness assumptions. In this endeavour we extend the results of Agranovich, Denk, and Faierman pertaining to a priori estimates for solutions associated with a parameter-elliptic scalar problem, as well as the results of various other authors who have extended the results of Agranovich et. al. from the scalar case to parameter-elliptic systems of operators which are either of homogeneous type or have the property that the diagonal operators are all of the same order. In addition, we extend some results of Kozhevnikov and Denk and Volevich who have also dealt with sytems of the kind under consideration here, in that one of the works of Kozhevnikov deals only with 2 × 2 systems, while the other, as well as the work of the last two authors, do not cover Dirichlet boundary conditions.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Parameter-ellipticity, multi-order systems, a priori estimates
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
DENK, Robert, Melvin FAIERMAN, 2010. Estimates for solutions of a parameter-elliptic multi-order system of differential equations. In: Integral Equations and Operator Theory. 2010, 66(3), pp. 327-365. ISSN 0378-620X. Available under: doi: 10.1007/s00020-010-1753-3BibTex
@article{Denk2010Estim-12742,
year={2010},
doi={10.1007/s00020-010-1753-3},
title={Estimates for solutions of a parameter-elliptic multi-order system of differential equations},
number={3},
volume={66},
issn={0378-620X},
journal={Integral Equations and Operator Theory},
pages={327--365},
author={Denk, Robert and Faierman, Melvin}
}RDF
<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/server/rdf/resource/123456789/12742">
<dc:creator>Faierman, Melvin</dc:creator>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:bibliographicCitation>Publ. in: Integral Equations Operator Theory 66 (2010), 3, pp. 327-365</dcterms:bibliographicCitation>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-15T07:42:25Z</dcterms:available>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dcterms:abstract xml:lang="eng">This paper is concerned with a boundary value problem defined over a bounded region of Euclidean space, and in particular it is devoted to the establishment of a priori estimates for solutions of a parameter-elliptic multi-order system of differential equations under limited smoothness assumptions. In this endeavour we extend the results of Agranovich, Denk, and Faierman pertaining to a priori estimates for solutions associated with a parameter-elliptic scalar problem, as well as the results of various other authors who have extended the results of Agranovich et. al. from the scalar case to parameter-elliptic systems of operators which are either of homogeneous type or have the property that the diagonal operators are all of the same order. In addition, we extend some results of Kozhevnikov and Denk and Volevich who have also dealt with sytems of the kind under consideration here, in that one of the works of Kozhevnikov deals only with 2 × 2 systems, while the other, as well as the work of the last two authors, do not cover Dirichlet boundary conditions.</dcterms:abstract>
<dc:contributor>Faierman, Melvin</dc:contributor>
<dc:contributor>Denk, Robert</dc:contributor>
<dc:language>eng</dc:language>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/12742"/>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-15T07:42:25Z</dc:date>
<dc:rights>terms-of-use</dc:rights>
<dcterms:title>Estimates for solutions of a parameter-elliptic multi-order system of differential equations</dcterms:title>
<dc:creator>Denk, Robert</dc:creator>
<dcterms:issued>2010</dcterms:issued>
</rdf:Description>
</rdf:RDF>Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
