Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/100034
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorCui, Jen_US
dc.creatorSun, Len_US
dc.date.accessioned2023-08-02T05:36:51Z-
dc.date.available2023-08-02T05:36:51Z-
dc.identifier.issn0036-1410en_US
dc.identifier.urihttp://hdl.handle.net/10397/100034-
dc.language.isoenen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rights© 2023 Society for Industrial and Applied Mathematicsen_US
dc.rightsThe following publication Cui, J., & Sun, L. (2023). Stochastic logarithmic Schrödinger equations: energy regularized approach. SIAM Journal on Mathematical Analysis, 55(4), 3044-3080 is available at https://doi.org/10.1137/21M1442425.en_US
dc.subjectStochastic Schrödinger equationen_US
dc.subjectLogarithmic nonlinearityen_US
dc.subjectEnergy regularized approximationen_US
dc.subjectStrong convergenceen_US
dc.titleStochastic logarithmic Schrödinger equations : energy regularized approachen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage3044en_US
dc.identifier.epage3080en_US
dc.identifier.volume55en_US
dc.identifier.issue4en_US
dc.identifier.doi10.1137/21M1442425en_US
dcterms.abstractIn this paper, we prove the global existence and uniqueness of the solution of the stochastic logarithmic Schrödinger (SlogS) equation driven by either additive noise or multiplicative noise. The key ingredient lies in the regularized SlogS (RSlogS) equation with regularized energy and the strong convergence analysis of the solutions of the RSlogS equations. In addition, temporal Hölder regularity estimates and uniform estimates in energy space [text could not be shown] and weighted Sobolev space [text could not be shown] of the solutions for both the SlogS equation and RSlogS equation are also obtained.en_US
dcterms.abstract[Abstract not complete, refer to publisher pdf]en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationSIAM journal on mathematical analysis, 2023, v. 55, no. 4, p. 3044-3080en_US
dcterms.isPartOfSIAM journal on mathematical analysisen_US
dcterms.issued2023-
dc.identifier.eissn1095-7154en_US
dc.description.validate202308 bcwhen_US
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumbera2071, a2773-
dc.identifier.SubFormID46463, 48298-
dc.description.fundingSourceRGCen_US
dc.description.fundingTextthe National Natural Science Foundation of China grants 12101596, 12171047, 11971470, 12031020; the CAS AMSS-PolyU Joint Laboratory of Applied Mathematicsen_US
dc.description.pubStatusPublisheden_US
dc.description.oaCategoryVoR alloweden_US
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