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pro vyhledávání: '"Gomes, Diogo Aguiar"'
We study a particle approximation for one-dimensional first-order Mean-Field-Games (MFGs) with local interactions with planning conditions. Our problem comprises a system of a Hamilton-Jacobi equation coupled with a transport equation. As we deal wit
Externí odkaz:
http://arxiv.org/abs/2109.02256
In this paper, we prove the existence of classical solutions for time dependent mean-field games with a logarithmic nonlinearity and subquadratic Hamiltonians. Because the logarithm is unbounded from below, this nonlinearity poses substantial mathema
Externí odkaz:
http://arxiv.org/abs/1407.1261
In this paper, we investigate the Sobolev regularity for mean-field games in the whole space $\Rr^d$. This is achieved by combining integrability for the solutions of the Fokker-Planck equation with estimates for the Hamilton-Jacobi equation in Sobol
Externí odkaz:
http://arxiv.org/abs/1407.0942
Autor:
Gomes, Diogo Aguiar
In this paper we discuss a stochastic analog of Aubry-Mather theory in which a deterministic control problem is replaced by a controlled diffusion. We prove the existence of a minimizing measure (Mather measure) and discuss its main properties using
Externí odkaz:
http://arxiv.org/abs/math/0104230
Akademický článek
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Publikováno v:
Discrete & Continuous Dynamical Systems: Series A; Jul2022, Vol. 42 Issue 7, p3569-3591, 23p
Autor:
Gomes, Diogo Aguiar1 dgomes@math.ist.utl.pt
Publikováno v:
Communications in Mathematical Physics. Jul2005, Vol. 257 Issue 1, p227-234. 8p.
Autor:
GOMES, DIOGO AGUIAR1,2
Publikováno v:
Quarterly Journal of Mechanics & Applied Mathematics. Aug2002, Vol. 55 Issue 3, p327-343. 17p. 3 Black and White Photographs, 7 Graphs.
Publikováno v:
52nd IEEE Conference on Decision & Control; 2013, p2513-2518, 6p
Autor:
GOMES, DIOGO AGUIAR
Publikováno v:
Mathematical Analysis of Random Phenomena - Proceedings of the International Conference; 2007, p93-100, 8p