Nonlinear Schrödinger equation on real hyperbolic spaces
نویسندگان
چکیده
منابع مشابه
Nonlinear Schrödinger Equation on Real Hyperbolic Spaces
We consider the Schrödinger equation with no radial assumption on real hyperbolic spaces. We obtain sharp dispersive and Strichartz estimates for a large family of admissible pairs. As a first consequence, we obtain strong wellposedness results for NLS. Specifically, for small intial data, we prove L 2 and H 1 global wellposedness for any subcritical nonlinearity (in contrast with the flat case...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2009
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2009.01.009