Necessary and sufficient conditions for the existence of -perfect processes associated with Dirichlet forms
Sergio Albeverio, Zhi-Ming Ma (1991)
Séminaire de probabilités de Strasbourg
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Sergio Albeverio, Zhi-Ming Ma (1991)
Séminaire de probabilités de Strasbourg
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Zhi-Ming Ma, Michael Röckner, Tu-Sheng Zhang (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Yoichi Oshima (1992)
Forum mathematicum
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Niels Jacob, René L. Schilling (1999)
Revista Matemática Iberoamericana
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In this paper we want to show how well-known results from the theory of (regular) elliptic boundary value problems, function spaces and interpolation, subordination in the sense of Bochner and Dirichlet forms can be combined and how one can thus get some new aspects in each of these fields.
Masatoshi Fukushima, Hiroshi Tanaka (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Tomasz Klimsiak, Andrzej Rozkosz (2016)
Colloquium Mathematicae
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We are mainly concerned with equations of the form -Lu = f(x,u) + μ, where L is an operator associated with a quasi-regular possibly nonsymmetric Dirichlet form, f satisfies the monotonicity condition and mild integrability conditions, and μ is a bounded smooth measure. We prove general results on existence, uniqueness and regularity of probabilistic solutions, which are expressed in terms of solutions to backward stochastic differential equations. Applications include equations with...
Getoor, R.K. (1999)
Electronic Journal of Probability [electronic only]
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Sergio Albeverio, Raphael Høegh-Krohn (1977)
Annales de l'I.H.P. Probabilités et statistiques
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Fitzsimmons, P.J., Getoor, R.K. (2003)
Electronic Journal of Probability [electronic only]
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