Dispersive estimates and NLS on product manifolds

Vittoria Pierfelice

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arXiv · 1012.0442

Dispersive estimates and NLS on product manifolds

Vittoria Pierfelice

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Abstract

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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Vittoria Pierfelice. 2010-12-02. Dispersive estimates and NLS on product manifolds. https://arxiv.org/abs/1012.0442

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