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An infinite-dimensional weak KAM theory via random variables

dc.contributor.authorGomes, Diogo A.
dc.contributor.authorNurbekyan, Levon
dc.date.accessioned2017-01-02T09:55:27Z
dc.date.available2017-01-02T09:55:27Z
dc.date.issued2016-08-31
dc.identifier.citationGomes D, Nurbekyan L (2016) An infinite-dimensional weak KAM theory via random variables. Discrete and Continuous Dynamical Systems 36: 6167–6185. Available: http://dx.doi.org/10.3934/dcds.2016069.
dc.identifier.issn1078-0947
dc.identifier.doi10.3934/dcds.2016069
dc.identifier.urihttp://hdl.handle.net/10754/622516
dc.description.abstractWe develop several aspects of the infinite-dimensional Weak KAM theory using a random variables' approach. We prove that the infinite-dimensional cell problem admits a viscosity solution that is a fixed point of the Lax-Oleinik semigroup. Furthermore, we show the existence of invariant minimizing measures and calibrated curves defined on R.
dc.description.sponsorshipThe first author was partially supported by KAUST baseline and start-up funds and KAUST SRI, Center for Uncertainty Quanti cation in Computational Science and Engineering.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.relation.urlhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12901
dc.relation.urlhttp://arxiv.org/pdf/1508.00154
dc.rightsArchived with thanks to American Institute of Mathematical Sciences (AIMS) under a Creative Commons license, details at: https://creativecommons.org/licenses/by/4.0/
dc.rightsThis file is an open access version redistributed from: http://arxiv.org/pdf/1508.00154
dc.subjectDynamical systems
dc.subjectweak KAM theory
dc.subjectHamilton-Jacobi equations
dc.subjectvoscosity solutions
dc.titleAn infinite-dimensional weak KAM theory via random variables
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalDiscrete and Continuous Dynamical Systems
dc.eprint.versionPre-print
dc.identifier.arxivid1508.00154
kaust.personGomes, Diogo A.
kaust.personNurbekyan, Levon
refterms.dateFOA2023-07-26T11:39:00Z
dc.date.published-online2016-08-31
dc.date.published-print2016-08


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