Archivio Istituzionale della RicercaWe 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 the Schrödinger equation with potentials V (x)=±|x|2.
Metaplectic representation on Wiener amalgam spaces and applications to the Schroedinger equation / Cordero, Elena; Nicola, Fabio. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - STAMPA. - 254:2(2008), pp. 506-534. [10.1016/j.jfa.2007.09.015]
Metaplectic representation on Wiener amalgam spaces and applications to the Schroedinger equation
NICOLA, FABIO
2008
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 the Schrödinger equation with potentials V (x)=±|x|2.
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https://hdl.handle.net/11583/1658668
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