A stochastic Evans-Aronsson problem
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- by Diogo Gomes and Héctor Sánchez Morgado PDF
- Trans. Amer. Math. Soc. 366 (2014), 903-929 Request permission
Abstract:
In this paper the stochastic version of the Evans-Aronsson problem is studied. Both for the mechanical case and two dimensional problems we prove the existence of smooth solutions. We establish that the corresponding effective Lagrangian and Hamiltonian are smooth. We study the limiting behavior and the convergence of the effective Lagrangian and Hamiltonian, Mather measures and minimizers. We end the paper with applications to stationary mean-field games.References
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Additional Information
- Diogo Gomes
- Affiliation: Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, Lisboa, Portugal
- MR Author ID: 638220
- Email: dgomes@math.ist.utl.pt
- Héctor Sánchez Morgado
- Affiliation: Instituto de Matemáticas, Universidad Nacional Autónoma de México, México DF 04510, México
- MR Author ID: 340702
- ORCID: 0000-0003-3981-408X
- Email: hector@matem.unam.mx
- Received by editor(s): November 9, 2011
- Received by editor(s) in revised form: June 1, 2012
- Published electronically: August 8, 2013
- Additional Notes: The first author was partially supported by CAMGSD-LARSys through FCT Program POCTI-FEDER and by grants PTDC/MAT/114397/2009, UTAustin/MAT/0057/2008, and UTA-CMU/MAT/0007/2009
The second author is grateful to the Instituto Superior Técnico for its hospitality - © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 903-929
- MSC (2010): Primary 49L99
- DOI: https://doi.org/10.1090/S0002-9947-2013-05936-3
- MathSciNet review: 3130321