Some new Strichartz estimates for the Schrödinger equation

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.

30 pages

References in corpus (2)

• Some remarks on the Schrödinger equation with a potential in $L_t^r{L}_x^s$
• Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation

Cited by in corpus (7)

• Characterization of Some Properties on Weighted Modulation Spaces
• New Function Spaces Associated to Representations of Nilpotent Lie Groups and Generalized Time-Frequency Analysis
• Time-frequency analysis of the Dirac equation
• Almost Diagonalization of Pseudodifferential Operators
• Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces
• Strichartz estimates for the kinetic transport equation
• Boundedness of Schroedinger type propagators on modulation spaces