Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D

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Abstract

In this paper we study spectral properties associated to the Schrödinger operator − Δ −Wwith potential W that is an exponentially decaying C 1 function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages115-143
Number of pages29
Volume301
DOIs
Publication statusPublished - 2012
Externally publishedYes

Publication series

NameProgress in Mathematics
Volume301
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Keywords

  • Local energy decay
  • Resonances
  • Schrödinger equation
  • Solitary solutions
  • Wave equation

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology

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