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math.APSep 4, 2005
8
citations (OpenAlex)
authors
  • Wilhelm Schlag
arXiv abstractPDF
paper

Spectral Theory and Nonlinear PDE: a Survey

arXiv:math/0509019

Abstract

This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.

References in corpus (9)

  • Dispersive estimates for Schrodinger operators in dimensions one and three
  • Solitary Wave Dynamics in an External Potential
  • Asymptotic stability of N-soliton states of NLS
  • Time decay for solutions of Schrödinger equations with rough and time dependent potentials
  • Stable manifolds for an orbitally unstable NLS
  • Stable manifolds for all monic supercritical NLS in one dimension
  • Stable Directions for Excited States of Nonlinear Schrödinger Equations
  • Numerical verification of a gap condition for linearized NLS
  • A remark on Littlewood-Paley theory for the distorted Fourier transform

Cited by in corpus (2)

  • Quadratic Klein-Gordon equations with a potential in one dimension
  • Why are solitons stable?
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