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A note on space–time Hölder regularity of mild solutions to stochastic cauchy problems in Lp-spaces

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dc.creatorSerrano Perdomo, Rafael Antonio
dc.date.accessioned2020-05-26T00:03:34Z
dc.date.available2020-05-26T00:03:34Z
dc.date.created2015spa
dc.description.abstractThis paper revisits the Hölder regularity of mild solutions of parabolic stochastic Cauchy problems in Lebesgue spaces Lp(O), with p ? 2 and O ? ?d a bounded domain. We find conditions on p,? and ? under which the mild solution has almost surely trajectories in C?([0,T ]; C? (?). These conditions do not depend on the Cameron–Martin Hilbert space associated with the driving cylindrical noise. The main tool of this study is a regularity result for stochastic convolutions in M-type 2 Banach spaces by Brze?niak (Stochastics Stochastics Rep. 61 (1997) 245–295). © Brazilian Statistical Association, 2015.eng
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.1214/14-BJPS245
dc.identifier.issn1030752
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/23607
dc.language.isoengspa
dc.publisherBrazilian Statistical Associationspa
dc.relation.citationEndPage777
dc.relation.citationIssueNo. 4
dc.relation.citationStartPage767
dc.relation.citationTitleBrazilian Journal of Probability and Statistics
dc.relation.citationVolumeVol. 29
dc.relation.ispartofBrazilian Journal of Probability and Statistics, ISSN:1030752, Vol.29, No.4 (2015); pp. 767-777spa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84941932359&doi=10.1214%2f14-BJPS245&partnerID=40&md5=1b06469e6e2828ad26f8d9446dd6a23cspa
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)spa
dc.source.instnameinstname:Universidad del Rosariospa
dc.source.reponamereponame:Repositorio Institucional EdocURspa
dc.subject.keywordAdditive cylindrical noisespa
dc.subject.keywordHölder regularityspa
dc.subject.keywordLebesgue spacesspa
dc.subject.keywordStochastic cauchy problemspa
dc.subject.keywordStochastic convolutionspa
dc.titleA note on space–time Hölder regularity of mild solutions to stochastic cauchy problems in Lp-spacesspa
dc.typearticleeng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículospa
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