@inbook{61ed0412dcf14676bd3c7e0c5b8bfb52,

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 −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.",

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

author = "Vladimir Georgiev and Mirko Tarulli",

note = "Funding Information: The first author was supported by the Italian National C ouncil of Scientific Research (project PRIN No. 2008BLM8BB) entitled: “Analisi nello spazio delle fasi per E.D.P.” The second author is supported by an INdAM grant. Currently he is a Academic Visitor at Department of Mathematics of the Imperial College London. Publisher Copyright: {\textcopyright} 2012, Springer Basel.",

year = "2012",

doi = "10.1007/978-3-0348-0454-7_7",

language = "English",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "115--143",

booktitle = "Progress in Mathematics",

}