Dispersive estimates and NLS on product manifolds

Details Dispersive estimates and NLS on product manifolds Dispersive estimates and NLS on product manifolds

2010-12-02

arxiv.org/abs/1012.0442v1

Mathematics

Analysis of PDEs

Scientific paper

We prove a general dispersive estimate for a Schroedinger type equation on a
product manifold, under the assumption that the equation restricted to each
factor satisfies suitable dispersive estimates. Among the applications are the
two-particle Schroedinger equations on Euclidean spaces, and the nonlinear
Schroedinger equation on the product of two real hyperbolic spaces.

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