@inbook{e64ab910c6d1443eb34d56bd6ede6d35,

title = "Decay estimates for the supercritical 3-D Schr{\"o}dinger equation with rapidly decreasing potential",

abstract = "We establish an almost optimal decay estimate for the 3-D Schr{\"o}dinger equation with non-negative potential decaying exponentially and nonlinearity of power p > 1 + 2/3 = 5/3. The key point is the introduction of an appropriate analogue of the generators of the pseudoconformal group for the free Schr{\"o}dinger equation.",

keywords = "Decay estimates, Schr{\"o}dinger equation, Semilinear",

author = "Vladimir Georgiev and Bozhidar Velichkov",

note = "Funding Information: The first author was supported by the Italian National Council of Scientific Research PRIN No. 2008BLM8BB) entitled: “Analisi nello spazio delle fasi per E.D.P.”. Publisher Copyright: {\textcopyright} 2012, Springer Basel.",

year = "2012",

doi = "10.1007/978-3-0348-0454-7_8",

language = "English",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "145--162",

booktitle = "Progress in Mathematics",

}