Stratonovich stochastic differential equations driven by general semimartingales
Thomas G. Kurtz, Étienne Pardoux, Philip Protter (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Thomas G. Kurtz, Étienne Pardoux, Philip Protter (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Zenghu Li, Leonid Mytnik (2011)
Annales de l'I.H.P. Probabilités et statistiques
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General stochastic equations with jumps are studied. We provide criteria for the uniqueness and existence of strong solutions under non-Lipschitz conditions of Yamada–Watanabe type. The results are applied to stochastic equations driven by spectrally positive Lévy processes.
Bass, Richard F. (2004)
Probability Surveys [electronic only]
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Borisenko, O.V., Borisenko, A.D., Malyshev, I.G. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Andrzej Rozkosz, Leszek Słomiński (2000)
Studia Mathematica
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We obtain a stochastic representation of a diffusion corresponding to a uniformly elliptic divergence form operator with co-normal reflection at the boundary of a bounded -domain. We also show that the diffusion is a Dirichlet process for each starting point inside the domain.
Bohdan Maslowski (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Antonio Sintes Blanc (1985)
Collectanea Mathematica
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