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

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper we study spectral properties associated to the Schrödinger operator -Δ -W, with 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 publicationEvolution Equations of Hyperbolic and Schrödinger Type
Subtitle of host publicationAsymptotics, Estimates and Nonlinearities
PublisherSpringer Basel
Pages115-143
Number of pages29
ISBN (Electronic)9783034804547
ISBN (Print)9783034804530
DOIs
Publication statusPublished - 2012 Jan 1
Externally publishedYes

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Gueorguiev, V. S., & Tarulli, M. (2012). Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D. In Evolution Equations of Hyperbolic and Schrödinger Type: Asymptotics, Estimates and Nonlinearities (pp. 115-143). Springer Basel. https://doi.org/10.1007/978-3-0348-0454-7