Commutator methods and a smoothing property of the Schrödinger evolution group

DOI10.1007/BF01163609zbMath0594.35032MaRDI QIDQ1076902

Arne Jensen

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173656

zbMATH Keywords

Sobolev spaceSchrödinger operatorcommutator methodssmoothing propertyboost groupunitary evolution group

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity, Smoothing evolution equations and boundary control theory, Fundamental solutions and eigenfunction expansions for Schrödinger operators. I: Fundamental solutions, Unnamed Item, New \(L^ p\)-estimates for solutions to the Schrödinger equations and time asymptotic behavior of observables, Smoothing effects and dispersion of singularities for the Schrödinger evolution group, Space-time behavior of propagators for Schrödinger evolution equations with Stark effect, Mapping properties of wave and scattering operators for two-body Schrödinger operators, Smoothing properties for systems of nonlinear Schrödinger equations, Analyticity of the Schrödinger propagator on the Heisenberg group, Smoothing effect for some Schrödinger equations, Global smoothing properties of generalized Schrödinger equations, The interplay between decay of the data and regularity of the solution in Schrödinger equations, Unnamed Item, Gevrey solutions for equations of Euler-Bernoulli type

Cites Work

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• Propagation of states in dilation analytic potentials and asymptotic completeness
• Schrödinger semigroups
• Uniform Asymptotic Estimates for Wave Packets in the Quantum Theory of Scattering
• On the Space-Time Behavior of Schrödinger Wavefunctions