A class of Dirichlet forms generated by pseudo differential operators.
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A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains.
Peter Stollmann (1995)
Mathematische Zeitschrift
A dual characterization of length spaces with application to Dirichlet metric spaces
Peter Stollmann (2010)
Studia Mathematica
We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. The main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.
A recurrence condition for some subordinated strongly local Dirichlet forms.
Ivor McGillivray (1997)
Forum mathematicum
A Regular Metrizable Boundary for Solutions of Elliptic and Parabolic Differential Equations.
Peter A. Loeb (1980)
Mathematische Annalen
Admissible functions for the Dirichlet space
Javad Mashreghi, Mahmood Shabankhah (2010)
Studia Mathematica
Zero sets and uniqueness sets of the classical Dirichlet space are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for . Then we discuss the relation between the zero sets of and those of .
Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
Karl-Theodor Sturm (1994)
Journal für die reine und angewandte Mathematik
Approximation of arbitrary Dirichlet processes by Markov chains
Zhi-Ming Ma, Michael Röckner, Tu-Sheng Zhang (1998)
Annales de l'I.H.P. Probabilités et statistiques
Bivariate Revuz measures and the Feynman-Kac formula
Jiangang Ying (1996)
Annales de l'I.H.P. Probabilités et statistiques
Bounded Analytic Functions in the Dirichlet Space.
Stefan Richter, Allen Shields (1988)
Mathematische Zeitschrift
Brownian motion on fractals and function spaces.
Alf Jonsson (1996)
Mathematische Zeitschrift
Capacitary integrals in Drichlet spaces.
Torbjörn Kolsrud (1984)
Mathematica Scandinavica
Comparison Theorems on Dirichlet Norms and their Applications.
Matsuyo Tomisaki (1990)
Forum mathematicum
Composition operators on the Dirichlet space and related problems.
Chacón, Gerardo A., Chacón, Gerardo R., Giménez, José (2006)
Boletín de la Asociación Matemática Venezolana
Conservation property of symmetric jump processes
Jun Masamune, Toshihiro Uemura (2011)
Annales de l'I.H.P. Probabilités et statistiques
Motivated by the recent development in the theory of jump processes, we investigate its conservation property. We will show that a jump process is conservative under certain conditions for the volume-growth of the underlying space and the jump rate of the process. We will also present examples of jump processes which satisfy these conditions.
Construction d'un espace harmonique de Brelot associé à un espace de Dirichlet de type local vérifiant une hypothèse d'hypoellipticite.
D. Feyel, A. de de Pradell (1978)
Inventiones mathematicae
Convergence and uniqueness problems for Dirichlet forms on fractals
Roberto Peirone (2000)
Bollettino dell'Unione Matematica Italiana
è un particolare operatore di minimizzazione per forme di Dirichlet definite su un sottoinsieme finito di un frattale che è, in un certo senso, una sorta di frontiera di . Viene talvolta chiamato mappa di rinormalizzazione ed è stato usato per definire su un analogo del funzionale e un moto Browniano. In questo lavoro si provano alcuni risultati sull'unicità dell'autoforma (rispetto a ), e sulla convergenza dell'iterata di rinormalizzata. Questi risultati sono collegati con l'unicità...
Convergence in Dirichlet law of certain stochastic integrals.
Chorro, Christophe (2005)
Electronic Journal of Probability [electronic only]
Convergenza e dualità per forme di Dirichlet non-simmetriche
Silvia Mataloni (2000)
Bollettino dell'Unione Matematica Italiana
C-semigroups on Banach spaces and functional inequalities
Shiqi Song (1995)
Séminaire de probabilités de Strasbourg
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