Invariant manifolds for random parabolic evolution equations with almost sectorial operators
| dc.contributor.author | Ghani Varzaneh, Mayzar | |
| dc.contributor.author | Lahbiri, Fatima Z. | |
| dc.contributor.author | Riedel, Sebastian | |
| dc.date.accessioned | 2025-10-07T05:48:55Z | |
| dc.date.available | 2025-10-07T05:48:55Z | |
| dc.date.issued | 2025-09 | |
| dc.description.abstract | In this paper, we develop a way of analyzing the random dynamics of stochastic evolution equations with a non-dense domain. Such problems cover several types of evolution equations. We are particularly interested in evolution equations with non-homogeneous boundary conditions of white noise type. We prove the existence of stable, unstable, and center manifolds around a stationary trajectory by combining integrated semigroup theory and invariant manifold theory. The results are applied to stochastic parabolic equations with white noise at the boundary. | |
| dc.description.version | published | deu |
| dc.identifier.doi | 10.1142/s0219493725300013 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/74683 | |
| dc.language.iso | eng | |
| dc.subject.ddc | 510 | |
| dc.title | Invariant manifolds for random parabolic evolution equations with almost sectorial operators | eng |
| dc.type | JOURNAL_ARTICLE | |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{GhaniVarzaneh2025-09Invar-74683,
title={Invariant manifolds for random parabolic evolution equations with almost sectorial operators},
year={2025},
doi={10.1142/s0219493725300013},
number={06},
volume={25},
issn={0219-4937},
journal={Stochastics and Dynamics},
author={Ghani Varzaneh, Mayzar and Lahbiri, Fatima Z. and Riedel, Sebastian},
note={Article Number: 2530001}
} | |
| kops.citation.iso690 | GHANI VARZANEH, Mayzar, Fatima Z. LAHBIRI, Sebastian RIEDEL, 2025. Invariant manifolds for random parabolic evolution equations with almost sectorial operators. In: Stochastics and Dynamics. World Scientific Publishing. 2025, 25(06), 2530001. ISSN 0219-4937. eISSN 1793-6799. Verfügbar unter: doi: 10.1142/s0219493725300013 | deu |
| kops.citation.iso690 | GHANI VARZANEH, Mayzar, Fatima Z. LAHBIRI, Sebastian RIEDEL, 2025. Invariant manifolds for random parabolic evolution equations with almost sectorial operators. In: Stochastics and Dynamics. World Scientific Publishing. 2025, 25(06), 2530001. ISSN 0219-4937. eISSN 1793-6799. Available under: doi: 10.1142/s0219493725300013 | 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/123456789/74683">
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:contributor>Riedel, Sebastian</dc:contributor>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-10-07T05:48:55Z</dc:date>
<dc:creator>Ghani Varzaneh, Mayzar</dc:creator>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:contributor>Lahbiri, Fatima Z.</dc:contributor>
<dc:language>eng</dc:language>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:abstract>In this paper, we develop a way of analyzing the random dynamics of stochastic evolution equations with a non-dense domain. Such problems cover several types of evolution equations. We are particularly interested in evolution equations with non-homogeneous boundary conditions of white noise type. We prove the existence of stable, unstable, and center manifolds around a stationary trajectory by combining integrated semigroup theory and invariant manifold theory. The results are applied to stochastic parabolic equations with white noise at the boundary.</dcterms:abstract>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/74683"/>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dcterms:title>Invariant manifolds for random parabolic evolution equations with almost sectorial operators</dcterms:title>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-10-07T05:48:55Z</dcterms:available>
<dc:contributor>Ghani Varzaneh, Mayzar</dc:contributor>
<dcterms:issued>2025-09</dcterms:issued>
<dc:creator>Riedel, Sebastian</dc:creator>
<dc:creator>Lahbiri, Fatima Z.</dc:creator>
</rdf:Description>
</rdf:RDF> | |
| kops.flag.isPeerReviewed | unknown | |
| kops.flag.knbibliography | true | |
| kops.sourcefield | Stochastics and Dynamics. World Scientific Publishing. 2025, <b>25</b>(06), 2530001. ISSN 0219-4937. eISSN 1793-6799. Verfügbar unter: doi: 10.1142/s0219493725300013 | deu |
| kops.sourcefield.plain | Stochastics and Dynamics. World Scientific Publishing. 2025, 25(06), 2530001. ISSN 0219-4937. eISSN 1793-6799. Verfügbar unter: doi: 10.1142/s0219493725300013 | deu |
| kops.sourcefield.plain | Stochastics and Dynamics. World Scientific Publishing. 2025, 25(06), 2530001. ISSN 0219-4937. eISSN 1793-6799. Available under: doi: 10.1142/s0219493725300013 | eng |
| relation.isAuthorOfPublication | 5a9db248-28e9-43cc-bc45-db64ceb05225 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5a9db248-28e9-43cc-bc45-db64ceb05225 | |
| source.bibliographicInfo.articleNumber | 2530001 | |
| source.bibliographicInfo.issue | 06 | |
| source.bibliographicInfo.volume | 25 | |
| source.identifier.eissn | 1793-6799 | |
| source.identifier.issn | 0219-4937 | |
| source.periodicalTitle | Stochastics and Dynamics | |
| source.publisher | World Scientific Publishing |