Short-time Asymptotics for Semigroups of Diffusion Type and Beyond

DOI10.1007/978-3-0348-0448-6_38zbMath1282.47063OpenAlexW194557522MaRDI QIDQ4915644

S. A. Stepin

Publication date: 11 April 2013

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0448-6_38

zbMATH Keywords

short-time asymptoticsregularized traceBorn approximationpath integral representationparametrix expansionevolutionary semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger and Feynman-Kac semigroups (47D08) Heat kernel (35K08)

Cites Work

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• Two-sided estimates for the trace of the difference of two semigroups
• Parametrix, kernel asymptotics, and regularized trace for the diffusion semigroup
• Une formule de traces pour l'opérateur de Schrödinger dans $\mathbb{R}^3$
• ASYMPTOTICS OF THE FUNDAMENTAL SOLUTION OF A PETROVSKIĬ PARABOLIC EQUATION WITH CONSTANT COEFFICIENTS
• DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
• ASYMPTOTIC BEHAVIOR OF GREEN'S FUNCTIONS FOR PARABOLIC AND ELLIPTIC EQUATIONS WITH CONSTANT COEFFICIENTS
• Existence of resonances in potential scattering

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