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Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations

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dc.abstract.enIn this article, the authors investigate the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. They first prove the existence of pullback attractor and construct a family of invariant Borel probability measures. Then they establish that this family of probability measures satisfies a Liouville type theorem and is indeed a statistical solution for the coupling equations. Further, they reveal that the invariant property of the statistical solution is a particular situation of the Liouville type theorem.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorZhao, Caidi
dc.contributor.authorCaraballo, Tomás
dc.contributor.authorŁukaszewicz, Grzegorz
dc.date.accessioned2024-01-26T08:08:35Z
dc.date.available2024-01-26T08:08:35Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.volume281
dc.identifier.doi10.1016/J.JDE.2021.01.039
dc.identifier.issn0022-0396
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/120663
dc.identifier.weblinkhttps://www.sciencedirect.com/science/article/pii/S0022039621000590?via%3Dihub
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of Differential Equations
dc.relation.pages1-32
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enKlein-Gordon-Schödinger equations
dc.subject.enStatistical solution
dc.subject.enPullback attractor
dc.subject.enInvariant measure
dc.subject.enLiouville type theorem
dc.titleStatistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
dc.typeJournalArticle
dspace.entity.typePublication