Perturbation des résolvantes et des semi-groupes par une mesure de Radon positive. (Perturbation of resolvents and semigroups by a positive Radon measure)

DOI10.1007/BF02571251zbMath0694.60068MaRDI QIDQ909351

N. E. Zubov

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174183

zbMATH Keywords

Green's functionregular measuresemi-groupssub Markov resolvent

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Transition functions, generators and resolvents (60J35)

Related Items (4)

Perturbation of resolvents and representation of excessive measures ⋮ The 3G-inequality for general Schrödinger operators on Lipschitz domains ⋮ Comparison of semigroups and resolvents of order \(\alpha\) associated with differential operators of divergence type ⋮ Semilinear perturbation of resolvents and semigroups

Cites Work

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• 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)
• Continuous solutions of the generalized Schrödinger equation and perturbation of harmonic spaces
• Uniform bounds for quotients of Green functions on \(C^{1,1}\)-domains
• Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
• Fonctionnelles multiplicatives et additives de Markov
• On the existence of sub-Markovian resolvents
• [https://portal.mardi4nfdi.de/wiki/Publication:3213736 Conditions n�cessaires et suffisantes d'existence de r�solvantes]

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