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2019-03-04Zeitschriftenartikel DOI: 10.18452/24108
Solution to the stochastic Schrödinger equation on the full space
dc.contributor.authorDebussche, Arnaud
dc.contributor.authorMartin, Jörg
dc.date.accessioned2022-02-04T11:15:48Z
dc.date.available2022-02-04T11:15:48Z
dc.date.issued2019-03-04none
dc.date.updated2022-02-04T11:05:56Z
dc.identifier.issn0951-7715
dc.identifier.urihttp://edoc.hu-berlin.de/18452/24750
dc.description.abstractWe show here how the methods recently applied in Debussche and Weber (2018 Electron. J. Probab. 23 28) to solve the stochastic nonlinear Schrödinger equation on can be enhanced to yield solutions on if the nonlinearity is weak enough. We prove that the solutions remain localized on compact time intervals which allow us to apply energy methods on the full space.eng
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectnonlinear Schrödinger equationeng
dc.subjectlocalizationeng
dc.subjectwhite noiseeng
dc.subjectrenormalizationeng
dc.subject60H15eng
dc.subject35Q55eng
dc.subject.ddc510 Mathematiknone
dc.titleSolution to the stochastic Schrödinger equation on the full spacenone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/24750-0
dc.identifier.doihttp://dx.doi.org/10.18452/24108
dc.type.versionpublishedVersionnone
local.edoc.pages28none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn1361-6544
dcterms.bibliographicCitation.doi10.1088/1361-6544/aaf50enone
dcterms.bibliographicCitation.journaltitleNonlinearitynone
dcterms.bibliographicCitation.volume32none
dcterms.bibliographicCitation.issue4none
dcterms.bibliographicCitation.originalpublishernameIOP Publishingnone
dcterms.bibliographicCitation.originalpublisherplaceBristolnone
dcterms.bibliographicCitation.pagestart1147none
dcterms.bibliographicCitation.pageend1174none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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