On a theorem of Cartan
Svend Erik Graversen, Murali Rao (1987)
Czechoslovak Mathematical Journal
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Svend Erik Graversen, Murali Rao (1987)
Czechoslovak Mathematical Journal
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Zoran Vondraček (1990)
Séminaire de probabilités de Strasbourg
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Kai Lai Chung (1973)
Annales de l'institut Fourier
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A complete form of the classical theorem by Gauss-M. Riesz-Frostman is given for a large of Markov processes without the usual hypothesis of duality. The idea leads to a probabilistic solution of Robin’s problem and it is based on the last exit time from a transient set.
Kai Lai Chung, K. Murali Rao (1980)
Annales de l'institut Fourier
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We consider a transient Hunt process in which the potential density satisfies the conditions: (a) for each , is finite continuous in ; (b) iff . In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).
Charles Grant Blairfindie Allen
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Pierre-Emmanuel Jabin, Felix Otto, BenoÎt Perthame (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider a class of two-dimensional Ginzburg-Landau problems which are characterized by energy density concentrations on a one-dimensional set. In this paper, we investigate the states of vanishing energy. We classify these zero-energy states in the whole space: They are either constant or a vortex. A bounded domain can sustain a zero-energy state only if the domain is a disk and the state a vortex. Our proof is based on specific entropies which lead to a kinetic formulation, and...