Archivio Istituzionale della RicercaWe deal with fixed-time and Strichartz estimates for the Schrödinger propagator as an operator on Wiener amalgam spaces. We discuss the sharpness of the known estimates and we provide some new estimates which generalize the classical ones. As an application, we present a result on the wellposedness of the linear Schrödinger equation with a rough time-dependent potential.
Some new Strichartz estimates for the Schroedinger equation / Cordero, Elena; Nicola, Fabio. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 245:(2008), pp. 1945-1974.
Some new Strichartz estimates for the Schroedinger equation
NICOLA, FABIO
2008
Abstract
We deal with fixed-time and Strichartz estimates for the Schrödinger propagator as an operator on Wiener amalgam spaces. We discuss the sharpness of the known estimates and we provide some new estimates which generalize the classical ones. As an application, we present a result on the wellposedness of the linear Schrödinger equation with a rough time-dependent potential.
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https://hdl.handle.net/11583/1820093
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