@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.”.",
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",
}