Commutator algebra and abstract smoothing effect

DOI10.1006/jfan.1999.3466zbMath0949.58007OpenAlexW2082096864MaRDI QIDQ1961217

Shin-ichi Doi

Publication date: 17 January 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3466

zbMATH Keywords

Riemannian metricSchrödinger equationsmoothing effectdispersive equationcommutator algebraMourre condition

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Schrödinger operator, Schrödinger equation (35J10) Equations in function spaces; evolution equations (58D25)

Related Items

Gain of analyticity for semilinear Schrödinger equations ⋮ Smoothness of solutions for Schrödinger equations with unbounded potentials ⋮ Resolvent estimates and smoothing for homogeneous partial differential operators on graded Lie groups ⋮ Singularity for solutions of linearized KdV equations ⋮ SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS ⋮ Resolvent estimates on symmetric spaces of noncompact type ⋮ Wave front set of solutions to Schrödinger equations with perturbed harmonic oscillators ⋮ Propagation of Singularities for Schrödinger Equations on the Euclidean Space with a Scattering Metric

Cites Work

• Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations
• Reconstruction of singularities for solutions of Schrödinger's equation
• Remarks on convergence of the Feynman path integrals
• Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
• The trace of the generalized harmonic oscillator
• On the fundamental solution of a perturbed harmonic oscillator
• Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow
• Dispersive smoothing for Schrödinger equations
• Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
• Microlocal analytic smoothing effect for the Schrödinger equation
• Effect régularisant microlocal analytique pour l'équation de Schrödinger le cas des données oscillantes
• Microlocal dispersive smoothing for the Schrödinger equation
• Remarks on the cauchy problem for schrödinger-type equations
• The Harmonic Operator for Exterior Differential Forms
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