Dispersive estimates and NLS on product manifolds
Analysis of PDEs
2010-12-03 v1
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.
Cite
@article{arxiv.1012.0442,
title = {Dispersive estimates and NLS on product manifolds},
author = {Vittoria Pierfelice},
journal= {arXiv preprint arXiv:1012.0442},
year = {2010}
}