Ergodic problem for the Hamilton-Jacobi-Bellman equation. I. Existence of the ergodic attractor
Mariko Arisawa (1997)
Annales de l'I.H.P. Analyse non linéaire
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Mariko Arisawa (1997)
Annales de l'I.H.P. Analyse non linéaire
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Piernicola Bettiol (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the asymptotic behavior of as , where is the viscosity solution of the following Hamilton-Jacobi-Isaacs equation (infinite horizon case) with We discuss the cases in which the state of the system is required to stay in an -dimensional torus, called periodic boundary conditions, or in the closure of a bounded connected domain with sufficiently smooth boundary. As far as the latter is concerned, we treat both the case...
G. Barles (1990)
Annales de l'I.H.P. Analyse non linéaire
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L. C. Evans, P. E. Souganidis, G. Fournier, M. Willem (1989)
Annales de l'I.H.P. Analyse non linéaire
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P. Cardaliaguet, B. Dacorogna, W. Gangbo, N. Georgy (1999)
Annales de l'I.H.P. Analyse non linéaire
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