Time dependent perturbations and scattering of strongly continuous groups on Banach spaces

DOI10.1007/BF01596393zbMath0321.47031MaRDI QIDQ1223606

David E. Evans

Publication date: 1976

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

Full work available at URL: https://eudml.org/doc/162847

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Scattering theory of linear operators (47A40)

Related Items (17)

Results in \(L^ p({\mathbb{R}}^ d)\) for the Schrödinger equation with a time-dependent potential ⋮ Hyperbolic evolution groups and dichotomic evolution families ⋮ Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators ⋮ The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions ⋮ Non-Autonomous Dynamics and Product Formula Approximation of Solution Operator ⋮ Operator-norm Trotter product formula on Banach spaces ⋮ Product approximations of solution operators for non‐autonomous perturbations of Gibbs semigroups ⋮ Approximation formula for a propagator in symmetrically normed ideals ⋮ Operator splitting for non-autonomous evolution equations ⋮ Generalized evolution semigroups and general dichotomies ⋮ Unnamed Item ⋮ Asymptotic behavior of discrete evolution families in Banach spaces ⋮ Gaussian bounds for propagators perturbed by potentials ⋮ Uniformly exponential Dichotomy for strongly continuous quasi groups ⋮ A new version of a theorem of Minh–Räbiger–Schnaubelt regarding nonautonomous evolution equations ⋮ Product formulae for non-autonomous Gibbs semigroups ⋮ Hyperbolic evolution semigroups on vector valued function spaces

Cites Work

• Unnamed Item
• Smooth perturbations in non-reflexive Banach spaces
• Continuous direct sums of Hilbert spaces and some of their applications
• The Dual Space of an Operator Algebra
• Wave Operators and Similarity for Generators of Semigroups in Banach Spaces
• Representation of Vector Valued Nonlinear Functions
• Produits tensoriels topologiques et espaces nucléaires
• Sur Le Théoréme De Lebesgue-Nikodym (V)

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