Dispersive estimates and NLS on product manifolds
classification
🧮 math.AP
keywords
dispersiveequationproductschroedingerestimatesspacesapplicationsassumption
read the original 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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