An infinite-dimensional weak KAM theory via random variables

Handle URI:
http://hdl.handle.net/10754/622516
Title:
An infinite-dimensional weak KAM theory via random variables
Authors:
Gomes, Diogo A. ( 0000-0002-3129-3956 ) ; Nurbekyan, Levon
Abstract:
We 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Gomes 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.
Publisher:
American Institute of Mathematical Sciences (AIMS)
Journal:
Discrete and Continuous Dynamical Systems
Issue Date:
31-Aug-2016
DOI:
10.3934/dcds.2016069
Type:
Article
ISSN:
1078-0947
Sponsors:
The 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.
Additional Links:
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12901
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGomes, Diogo A.en
dc.contributor.authorNurbekyan, Levonen
dc.date.accessioned2017-01-02T09:55:27Z-
dc.date.available2017-01-02T09:55:27Z-
dc.date.issued2016-08-31en
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.en
dc.identifier.issn1078-0947en
dc.identifier.doi10.3934/dcds.2016069en
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.en
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.en
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.relation.urlhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12901en
dc.subjectDynamical systemsen
dc.subjectweak KAM theoryen
dc.subjectHamilton-Jacobi equationsen
dc.subjectvoscosity solutionsen
dc.titleAn infinite-dimensional weak KAM theory via random variablesen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalDiscrete and Continuous Dynamical Systemsen
kaust.authorGomes, Diogo A.en
kaust.authorNurbekyan, Levonen
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