Feynman-Kac functionals and positive solutions of 1/2?u+qu=0

DOI10.1007/BF00534991zbMath0496.60078OpenAlexW2015628207MaRDI QIDQ3959911

Neil Falkner

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534991

zbMATH Keywords

Feynman-Kac functionalspositive harmonic measure

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (8)

Green function for Schrödinger operator and conditioned Feynman-Kac gauge ⋮ Etude de l'équation (1/2) \(\Delta u-u\mu =0\), où \(\mu\) est une mesure positive. (Study of the equation (1/2) \(\Delta u-u\mu =0\), where \(\mu\) is a positive measure) ⋮ Intrinsic ultracontractivity and conditional gauge for symmetric stable processes ⋮ Gauge theorems for resolvents with application to Markov processes ⋮ A Conformal Inequality Related to the Conditional Gauge Theorem ⋮ Uniform boundedness of conditional gauge and Schrödinger equations ⋮ Le problème de Dirichlet pour l'opérateur de Schrödinger ⋮ The lifetime of conditioned Brownian motion in certain Lipschitz domains

Cites Work

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• A Feynman-Kac gauge for solvability of the Schrödinger equation
• Processus de Markov
• On Positive Solutions of the Equation $\mathfrak{A}U + Vu = 0$
• Conditional brownian motion and the boundary limits of harmonic functions
• Brownian motion and harnack inequality for Schrödinger operators
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• Positive Harmonic Functions on Lipschitz Domains
• Semimartingales and Subharmonic Functions

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