On reflected Dirichlet spaces

DOI10.1007/BF01192442zbMath0767.60073MaRDI QIDQ1203936

Zhen-Qing Chen

Publication date: 18 February 1993

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

martingalesdiffusion processesDirichlet spaceHunt processesreflected processes

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Diffusion processes (60J60)

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Determination of the walk dimension of the Sierpiński gasket without using diffusion, Absolute continuity of symmetric diffusions, Two classes of extensions for generalized Schrödinger operators, Global properties of Dirichlet forms in terms of Green's formula, On the structure of the domain of a symmetric jump-type Dirichlet form, Singular weighted Sobolev spaces and diffusion processes: an example (due to V.V. Zhikov), The Dirichlet form of a gradient-type drift transformation of a symmetric diffusion, Heat kernel estimates for jump processes of mixed types on metric measure spaces, Flux and lateral conditions for symmetric Markov processes, One-point extensions of Markov processes by darning, From one dimensional diffusions to symmetric Markov processes, Time changes of symmetric diffusions and Feller measures, Traces of symmetric Markov processes and their characterizations, On the Dirichlet form of three-dimensional Brownian motion conditioned to hit the origin, On unique extension of time changed reflecting Brownian motions, Non-local Dirichlet forms and symmetric jump processes, A note on reflected Dirichlet forms, A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms, Parabolicity, the divergence theorem for \(\delta\)-subharmonic functions and applications to the Liouville theorems for harmonic maps

Cites Work

• Stochastic calculus related to non-symmetric Dirichlet forms
• A transformation of a symmetric Markov process and the Donsker-Varadhan theory
• Stochastic differential equations with reflecting boundary condition in convex regions
• On reflecting diffusion processes and Skorokhod decompositions
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• The reflected Dirichlet space
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• Systemes de Levy des processus de Markov
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• Stochastic differential equations with reflecting boundary conditions
• Normal Derivative for Bounded Domains with General Boundary
• Diffusion processes with boundary conditions
• Regular Representations of Dirichlet Spaces
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