On the rate of growth of Lev́y processes with no positive jumps conditioned to stay positive.
Pardo Millan, Juan Carlos (2008)
Electronic Communications in Probability [electronic only]
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Pardo Millan, Juan Carlos (2008)
Electronic Communications in Probability [electronic only]
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Andrea Cianchi, Adele Ferone (2008)
Annales de l'I.H.P. Analyse non linéaire
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Budhiraja, Amarjit, Dupuis, Paul (2003)
Electronic Journal of Probability [electronic only]
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Richard M. Dudley, Daniel W. Stroock (1987)
Séminaire de probabilités de Strasbourg
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Luisa Fattorusso (2008)
Czechoslovak Mathematical Journal
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Let be a bounded open subset of , . In we deduce the global differentiability result for the solutions of the Dirichlet problem with controlled growth and nonlinearity . The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.
Andrea Braides, Irene Fonseca, Giovanni Leoni (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Han, Pigong (2006)
Portugaliae Mathematica. Nova Série
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Jamal Najim (2005)
ESAIM: Probability and Statistics
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A Large Deviation Principle (LDP) is proved for the family where the deterministic probability measure converges weakly to a probability measure and are -valued independent random variables whose distribution depends on and satisfies the following exponential moments condition: In this context, the identification of the rate function is non-trivial due to the absence of equidistribution. We rely on fine convex analysis to address this issue. Among...