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math.APJan 10, 2005
6
citations (OpenAlex)
authors
  • Wilhelm Schlag
arXiv abstractPDF
paper

Dispersive estimates for Schroedinger operators: A survey

arXiv:math/0501037

Abstract

We present some old and new results on dispersive estimates for Schroedinger equations.

In this new version some more references have been added

References in corpus (11)

  • Dispersive estimates for Schrodinger operators in dimensions one and three
  • Asymptotic stability of N-soliton states of NLS
  • Global Strichartz estimates for nontrapping perturbations of the Laplacian
  • Scalar waves on a naked-singularity background
  • Time asymptotics of the Schroedinger wave function in time-periodic potentials
  • Decay versus survival of a localized state subjected to harmonic forcing: exact results
  • Stable manifolds for all monic supercritical NLS in one dimension
  • Fine properties of Charge Transfer Models
  • Dispersion for Schrödinger Operators with One-gap Periodic Potentials on R^1
  • A Strichartz inequality for the Schroedinger equation on non-trapping asymptotically conic manifolds
  • Agmon-Kato-Kuroda theorems for a large class of perturbations

Cited by in corpus (2)

  • Stable directions for small nonlinear Dirac standing waves
  • An Adiabatic Theorem for the Gross-Pitaevskii Equation
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