KOPS - The Institutional Repository of the University of Konstanz

New Convexity Conditions in the Calculus of Variations and Compensated Compactness Theory

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.)

New Convexity Conditions in the Calculus of Variations and Compensated Compactness Theory

Cite This

Files in this item

Checksum: MD5:36f21de270c0783f796dfc90b08098ba

CHELMINSKI, Krzysztof, Agnieszka KALAMAJSKA, 2003. New Convexity Conditions in the Calculus of Variations and Compensated Compactness Theory

@unpublished{Chelminski2003Conve-6150, title={New Convexity Conditions in the Calculus of Variations and Compensated Compactness Theory}, year={2003}, author={Chelminski, Krzysztof and Kalamajska, Agnieszka} }

<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/123456789/6150"> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:title>New Convexity Conditions in the Calculus of Variations and Compensated Compactness Theory</dcterms:title> <dc:creator>Kalamajska, Agnieszka</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:09:49Z</dcterms:available> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6150/1/preprint_192.pdf"/> <dc:rights>terms-of-use</dc:rights> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6150"/> <dc:format>application/pdf</dc:format> <dc:contributor>Chelminski, Krzysztof</dc:contributor> <dcterms:abstract xml:lang="eng">We consider the lower semicontinuous functional term of the form I (u) = ∫Ωf(u)dx where u satisfies a given conservation law defined by differential operator of degree one with constant coefficientsWe show that under certain constraints the well known Murat and Tartar's Λ-convexity condition for the integrand extends to the new geometric conditions satisfied on four dimensional simplexes. Similar conditions on three dimensional simplexes were recently obtained by the second author. New conditions apply to quasiconvex functions.</dcterms:abstract> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6150/1/preprint_192.pdf"/> <dcterms:issued>2003</dcterms:issued> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/36"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:09:49Z</dc:date> <dc:creator>Chelminski, Krzysztof</dc:creator> <dc:language>eng</dc:language> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/36"/> <dc:contributor>Kalamajska, Agnieszka</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>

Downloads since Oct 1, 2014 (Information about access statistics)

preprint_192.pdf 314

This item appears in the following Collection(s)

Search KOPS


Browse

My Account