Some new Strichartz estimates for the Schrödinger equation |
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| Authors: | Elena Cordero Fabio Nicola |
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| Institution: | a Department of Mathematics, University of Torino, Via Carlo Alberto 10, 10123 Torino, Italy
b Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy |
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| 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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| Keywords: | Schrö dinger equation Strichartz estimates Dispersive estimates Wiener amalgam spaces |
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