We study the action of metaplectic operators on Wiener amalgam spaces, giving upper bounds for their norms. As an application, we obtain new fixed-time estimates in these spaces for Schrödinger equations with general quadratic Hamiltonians and Strichartz estimates for theSchrödinger equation with potentials V(x)=+|x|^2 or V(x)=-|x|^2.

Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation

CORDERO, Elena;
2008-01-01

Abstract

We study the action of metaplectic operators on Wiener amalgam spaces, giving upper bounds for their norms. As an application, we obtain new fixed-time estimates in these spaces for Schrödinger equations with general quadratic Hamiltonians and Strichartz estimates for theSchrödinger equation with potentials V(x)=+|x|^2 or V(x)=-|x|^2.
2008
254
2
506
534
http://arxiv.org/pdf/0705.0920v1.pdf
Metaplectic representation; Modulation spaces; Schrödinger equation with quadratic Hamiltonians; Wiener amalgam spaces
E. Cordero; F. Nicola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/25314
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