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

Vladimir Georgiev; Mirko Tarulli

doi:10.1007/978-3-0348-0454-7

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

Vladimir Georgiev^*, Mirko Tarulli

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English
Title of host publication	Evolution Equations of Hyperbolic and Schrödinger Type
Subtitle of host publication	Asymptotics, Estimates and Nonlinearities
Publisher	Springer Basel
Pages	115-143
Number of pages	29
ISBN (Electronic)	9783034804547
ISBN (Print)	9783034804530
DOIs	https://doi.org/10.1007/978-3-0348-0454-7
Publication status	Published - 2012 Jan 1
Externally published	Yes

Keywords

Local energy decay
Resonances
Schrödinger equation
Solitary solutions
Wave equation

ASJC Scopus subject areas

Mathematics(all)

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10.1007/978-3-0348-0454-7

Cite this

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title = "Dispersive properties of Schr{\"o}dinger operators in the absence of a resonance at zero energy in 3D",

abstract = "In this paper we study spectral properties associated to the Schr{\"o}dinger 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.",

keywords = "Local energy decay, Resonances, Schr{\"o}dinger equation, Solitary solutions, Wave equation",

author = "Vladimir Georgiev and Mirko Tarulli",

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doi = "10.1007/978-3-0348-0454-7",

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AU - Tarulli, Mirko

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N2 - 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.

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KW - Resonances

KW - Schrödinger equation

KW - Solitary solutions

KW - Wave equation

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BT - Evolution Equations of Hyperbolic and Schrödinger Type

PB - Springer Basel

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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