A general class of phase transition models with weighted interface energy
E. Acerbi, G. Bouchitté (2008)
Annales de l'I.H.P. Analyse non linéaire
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E. Acerbi, G. Bouchitté (2008)
Annales de l'I.H.P. Analyse non linéaire
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Kondo, C.I., LeFloch, P.G. (2001)
Portugaliae Mathematica. Nova Série
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Mokhtar Hafayed, Petr Veverka, Syed Abbas (2014)
Applications of Mathematics
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We establish necessary and sufficient conditions of near-optimality for nonlinear systems governed by forward-backward stochastic differential equations with controlled jump processes (FBSDEJs in short). The set of controls under consideration is necessarily convex. The proof of our result is based on Ekeland's variational principle and continuity in some sense of the state and adjoint processes with respect to the control variable. We prove that under an additional hypothesis, the near-maximum...
Radu Ignat (2005)
Annales de l'I.H.P. Analyse non linéaire
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Mikami, Toshio (2002)
Electronic Communications in Probability [electronic only]
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C.-G. Ambrozie (2013)
Mathematica Bohemica
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We characterize the existence of the solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.