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dc.contributor.authorGomes, Diogo A.
dc.contributor.authorMitake, Hiroyoshi
dc.date.accessioned2016-01-19T13:22:06Z
dc.date.available2016-01-19T13:22:06Z
dc.date.issued2015-09-03
dc.identifier.citationGomes DA, Mitake H (2015) Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Nonlinear Differential Equations and Applications NoDEA. Available: http://dx.doi.org/10.1007/s00030-015-0349-7.
dc.identifier.issn1021-9722
dc.identifier.issn1420-9004
dc.identifier.doi10.1007/s00030-015-0349-7
dc.identifier.urihttp://hdl.handle.net/10754/594122
dc.description.abstractHere, we investigate the existence of solutions to a stationary mean-field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian and congestion effects. The fundamental difficulty of potential singular behavior is caused by congestion. Thanks to a new class of a priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions. © 2015 Springer Basel
dc.publisherSpringer Nature
dc.subjectCongestion
dc.subjectMean-field games
dc.subjectQuadratic Hamiltonians
dc.titleExistence for stationary mean-field games with congestion and quadratic Hamiltonians
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalNonlinear Differential Equations and Applications NoDEA
dc.contributor.institutionInstitute for Sustainable Sciences and Development, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, Japan
kaust.personGomes, Diogo A.
dc.date.published-online2015-09-03
dc.date.published-print2015-12


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