Wave and Klein–Gordon equations on hyperbolic spaces
نویسندگان
چکیده
منابع مشابه
Wave and Klein-Gordon equations on hyperbolic spaces
We consider the Klein–Gordon equation associated with the Laplace– Beltrami operator ∆ on real hyperbolic spaces of dimension n≥2; as ∆ has a spectral gap, the wave equation is a particular case of our study. After a careful kernel analysis, we obtain dispersive and Strichartz estimates for a large family of admissible couples. As an application, we prove global well–posedness results for the c...
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2014
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2014.7.953