Classes of time-dependent measures and the behavior of Feynman-Kac propagators

DOI10.1016/S1631-073X(02)02294-XzbMath1020.31001OpenAlexW2007754097MaRDI QIDQ1600133

Archil Gulisashvili

Publication date: 9 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02294-x

zbMATH Keywords

measuresuniquenesssolvabilityKato classpotentialsheat equation with a time-dependent potential

Mathematics Subject Classification ID

Heat equation (35K05) Schrödinger and Feynman-Kac semigroups (47D08) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

Classes of time-dependent measures, non-homogeneous Markov processes, and Feynman-Kac propagators ⋮ Nonautonomous Kato classes of measures and Feynman-Kac propagators

Cites Work

• Absorption semigroups, their generators, and Schrödinger semigroups
• The non-autonomous Kato class
• On the heat equation with a time-dependent singular potential
• Sharp estimates in smoothing theorems for Schrödinger semigroups
• Schrödinger semigroups
• Brownian motion and harnack inequality for Schrödinger operators
• On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds
• Estimates for Fundamental Solutions of Second-Order Parabolic Equations
• On a parabolic equation with a singular lower order term
• Exact smoothing properties of Schrodinger semigroups
• Non-autonomous Miyadera perturbations
• Generalized Feynman-Kac semigroups, associated quadratic forms and asymptotic properties

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