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

2011/03/19 by Vladimir Georgiev, Georgiev, Vladimir, Mirko Tarulli +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1103.3760

arxiv created 2011/03/19 · arxiv updated 2011/03/22

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.

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