arXiv:0707.4584 Abstract | arXiv Analytics

arXiv:0707.4584 [math.AP]Abstract References Reviews Resources

Some new Strichartz estimates for the Schrödinger equation

Published 2007-07-31Version 1

We deal with fixed-time and Strichartz estimates for the Schr\"odinger 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 Schr\"odinger equation with a rough time dependent potential.

Comments: 30 pages

Categories: math.AP, math-ph, math.MP

Subjects: 35B65, 35J10, 35B40, 42B35

Keywords: strichartz estimates, schrödinger equation, rough time dependent potential, wiener amalgam spaces, propagator

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