Regularity for evolution equations with non-autonomous perturbations in Banach spaces

DOI10.1063/1.5011306zbMath1429.37044arXiv1801.03361OpenAlexW3106517722MaRDI QIDQ4556655

Markus Penz

Publication date: 16 November 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03361

zbMATH Keywords

nonautonomous evolution equationsSobolev regularitymulti-particle Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Nonautonomous smooth dynamical systems (37C60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• On growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
• Perturbation theory for linear operators.
• Kato's theorem on the integration of non-autonomous linear evolution equations
• Integration of the equation of evolution in a Banach space
• Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces
• Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds
• One-Parameter Semigroups for Linear Evolution Equations
• In search of the Hohenberg-Kohn theorem
• An Introduction to Partial Differential Equations

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