Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dispersive estimates and NLS on product manifolds   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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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc