Probabilistic approach to the Dirichlet problem of perturbed stable processes

DOI10.1007/BF01192170zbMath0792.60067OpenAlexW1965359036MaRDI QIDQ1326314

Renming Song

Publication date: 14 July 1994

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

Full work available at URL: https://doi.org/10.1007/bf01192170

zbMATH Keywords

Dirichlet problemexistence and uniqueness of solutionssymmetric stable processmultiplicative functionalDirichlet form theory

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Markov processes (60J99) Multiplicative functionals and Markov processes (60J57)

Related Items

Feynman-Kac semigroup with discontinuous additive functionals, Intrinsic ultracontractivity and conditional gauge for symmetric stable processes, Estimates of the Green function for the fractional Laplacian perturbed by gradient, Time-dependent gradient perturbations of fractional Laplacian, Estimates of heat kernel of fractional Laplacian perturbed by gradient operators, Exit Problems as the Generalized Solutions of Dirichlet Problems, Escape Probability for Stochastic Dynamical Systems with Jumps, Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation

Cites Work

• Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
• A probabilistic principle and generalized Schrödinger perturbation
• Gauge theorems for resolvents with application to Markov processes
• Infinitely divisible processes and their potential theory. I
• Systemes de Levy des processus de Markov
• On some relations between the harmonic measure and the Levy measure for a certain class of Markov processes
• General Gauge Theorem for Multiplicative Functionals
• The Dirichlet problem of a discontinuous Markov process
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item