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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
metapSchrodJFA.pdf
Accesso riservato
Tipo di file:
POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione
302.13 kB
Formato
Adobe PDF
|
302.13 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
