Maximal regularity for the thermoelastic plate equations with free boundary conditions
| dc.contributor.author | Denk, Robert | |
| dc.contributor.author | Shibata, Yoshihiro | |
| dc.date.accessioned | 2016-04-01T11:18:27Z | |
| dc.date.available | 2016-04-01T11:18:27Z | |
| dc.date.issued | 2016 | eng |
| dc.description.abstract | We consider the linear thermoelastic plate equations with free boundary conditions in the Lp in time and Lq in space setting. We obtain unique solvability with optimal regularity for the inhomogeneous problem in a uniform C4-domain, which includes the cases of a bounded domain and of an exterior domain with C4-boundary. Moreover, we prove uniform a priori-estimates for the solution. The proof is based on the existence of R-bounded solution operators of the corresponding generalized resolvent problem which is shown with the help of an operator-valued Fourier multiplier theorem due to Weis. | eng |
| dc.description.version | published | eng |
| dc.identifier.ppn | 462948684 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/33539 | |
| dc.language.iso | eng | eng |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik | |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Thermoelastic plate equations; generation of analytic semigroups; maximal Lp-Lq-regularity; R-bounded solution operator, operator-valued Fourier multipliers | eng |
| dc.subject.ddc | 510 | eng |
| dc.subject.msc | 35K35; 35J40; 42B15 | |
| dc.title | Maximal regularity for the thermoelastic plate equations with free boundary conditions | eng |
| dc.type | WORKINGPAPER | eng |
| dspace.entity.type | Publication | |
| kops.bibliographicInfo.seriesNumber | 352 | eng |
| kops.citation.bibtex | @techreport{Denk2016Maxim-33539,
year={2016},
series={Konstanzer Schriften in Mathematik},
title={Maximal regularity for the thermoelastic plate equations with free boundary conditions},
number={352},
author={Denk, Robert and Shibata, Yoshihiro}
} | |
| kops.citation.iso690 | DENK, Robert, Yoshihiro SHIBATA, 2016. Maximal regularity for the thermoelastic plate equations with free boundary conditions | deu |
| kops.citation.iso690 | DENK, Robert, Yoshihiro SHIBATA, 2016. Maximal regularity for the thermoelastic plate equations with free boundary conditions | eng |
| kops.citation.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/123456789/33539">
<dc:contributor>Shibata, Yoshihiro</dc:contributor>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/33539"/>
<dcterms:issued>2016</dcterms:issued>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/33539/3/Denk_0-325845.pdf"/>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:creator>Shibata, Yoshihiro</dc:creator>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/33539/3/Denk_0-325845.pdf"/>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:language>eng</dc:language>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-04-01T11:18:27Z</dc:date>
<dc:rights>terms-of-use</dc:rights>
<dc:contributor>Denk, Robert</dc:contributor>
<dcterms:abstract xml:lang="eng">We consider the linear thermoelastic plate equations with free boundary conditions in the L<sub>p</sub> in time and L<sub>q</sub> in space setting. We obtain unique solvability with optimal regularity for the inhomogeneous problem in a uniform C<sup>4</sup>-domain, which includes the cases of a bounded domain and of an exterior domain with C<sup>4</sup>-boundary. Moreover, we prove uniform a priori-estimates for the solution. The proof is based on the existence of R-bounded solution operators of the corresponding generalized resolvent problem which is shown with the help of an operator-valued Fourier multiplier theorem due to Weis.</dcterms:abstract>
<dcterms:title>Maximal regularity for the thermoelastic plate equations with free boundary conditions</dcterms:title>
<dc:creator>Denk, Robert</dc:creator>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-04-01T11:18:27Z</dcterms:available>
</rdf:Description>
</rdf:RDF> | |
| kops.description.openAccess | openaccessgreen | |
| kops.flag.knbibliography | true | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-0-325845 | |
| kops.relation.seriesofconstance | Konstanzer Schriften in Mathematik | |
| relation.isAuthorOfPublication | 08802174-1f85-4bbc-9c22-9ebfd4010713 | |
| relation.isAuthorOfPublication.latestForDiscovery | 08802174-1f85-4bbc-9c22-9ebfd4010713 | |
| relation.isSeriesOfPublication | a1589bea-acb2-472c-b7fc-851d945493a4 | |
| relation.isSeriesOfPublication.latestForDiscovery | a1589bea-acb2-472c-b7fc-851d945493a4 |
Dateien
Originalbündel
1 - 1 von 1
Vorschaubild nicht verfügbar
- Name:
- Denk_0-325845.pdf
- Größe:
- 557.55 KB
- Format:
- Adobe Portable Document Format
- Beschreibung:
Lizenzbündel
1 - 1 von 1
Vorschaubild nicht verfügbar
- Name:
- license.txt
- Größe:
- 3.88 KB
- Format:
- Item-specific license agreed upon to submission
- Beschreibung:
