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dc.contributor.authorGomes, Diogo A.
dc.contributor.authorPimentel, Edgard A.
dc.date.accessioned2021-04-14T07:05:14Z
dc.date.available2021-04-14T07:05:14Z
dc.date.issued2015
dc.identifier.citationGomes, D. A., & Pimentel, E. A. (2015). Regularity for Mean-Field Games Systems with Initial-Initial Boundary Conditions: The Subquadratic Case. Dynamics, Games and Science, 291–304. doi:10.1007/978-3-319-16118-1_15
dc.identifier.isbn9783319161174
dc.identifier.isbn9783319161181
dc.identifier.issn2364-950X
dc.identifier.issn2364-9518
dc.identifier.doi10.1007/978-3-319-16118-1_15
dc.identifier.urihttp://hdl.handle.net/10754/668749
dc.description.abstractIn the present paper, we study forward-forward mean-field games with a power dependence on the measure and subquadratic Hamiltonians. These problems arise in the numerical approximation of stationary mean-field games. We prove the existence of smooth solutions under dimension and growth conditions for the Hamiltonian. To obtain the main result, we combine Sobolev regularity for solutions of the Hamilton-Jacobi equation (using Gagliardo-Nirenberg interpolation) with estimates of polynomial type for solutions of the Fokker-Planck equation.
dc.publisherSpringer Nature
dc.relation.urlhttps://link.springer.com/chapter/10.1007%2F978-3-319-16118-1_15
dc.rightsArchived with thanks to Springer International Publishing
dc.titleRegularity for Mean-Field Games Systems with Initial-Initial Boundary Conditions: The Subquadratic Case
dc.typeConference Paper
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.conference.dateAugust 28–September 6, 2013
dc.conference.nameInternational Conference and Advanced School Planet Earth, DGS II
dc.conference.locationPortugal
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mathematics, Universidade Federal de São Carlos, 13.560 Sao Carlos SP, Brazil
dc.identifier.pages291-304
kaust.personGomes, Diogo A.


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