On stochastic Euler equation in .
Mikulevicius, R., Valiukevicius, G. (2000)
Electronic Journal of Probability [electronic only]
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Mikulevicius, R., Valiukevicius, G. (2000)
Electronic Journal of Probability [electronic only]
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Ichinose, Takashi, Takanobu, Satoshi (2000)
Electronic Journal of Probability [electronic only]
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Omey, Edward (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Françoise Pène (2002)
ESAIM: Probability and Statistics
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In this paper, we are interested in the asymptotical behavior of the error between the solution of a differential equation perturbed by a flow (or by a transformation) and the solution of the associated averaged differential equation. The main part of this redaction is devoted to the ascertainment of results of convergence in distribution analogous to those obtained in [10] and [11]. As in [11], we shall use a representation by a suspension flow over a dynamical system. Here, we make...
Fisher, B., Takači, Arpad (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Akinyele, Olusola (1984)
International Journal of Mathematics and Mathematical Sciences
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Pilipović, S. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Lozanov Crvenković, Z., Pilipović, S. (2000)
Matematichki Vesnik
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Mireille Chaleyat-Maurel, Marta Sanz-Solé (2003)
ESAIM: Probability and Statistics
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We consider the random vector , where are distinct points of and denotes the stochastic process solution to a stochastic wave equation driven by a noise white in time and correlated in space. In a recent paper by Millet and Sanz–Solé [10], sufficient conditions are given ensuring existence and smoothness of density for . We study here the positivity of such density. Using techniques developped in [1] (see also [9]) based on Analysis on an abstract Wiener space, we characterize...
Simon, Thomas (2000)
Electronic Communications in Probability [electronic only]
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Farwig, R., Novotný, A., Pokorný, M. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Krylov, N.V. (2000)
Electronic Journal of Probability [electronic only]
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Giuseppe Da Prato (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove uniqueness of the invariant measure and the exponential convergence to equilibrium for a stochastic dissipative system whose drift is perturbed by a bounded function.