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Local energy decay for wave equation in the absence of resonance at zero energy in 3D

By Vladimir Georgiev and Mirko Tarulli

Abstract

In this paper we study spectral properties associated to Schrodinger operator with potential that is an exponential decaying function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS

Topics: Mathematics - Analysis of PDEs, Mathematical Physics
Year: 2011
OAI identifier: oai:arXiv.org:1103.3760
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