We deal with fixed-time and Strichartz estimates for the Schroedinger 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 Schroedinger equation with a rough time dependent potential.
Some new Strichartz estimates for the Schroedinger equation
CORDERO, Elena;
2008-01-01
Abstract
We deal with fixed-time and Strichartz estimates for the Schroedinger 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 Schroedinger equation with a rough time dependent potential.
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