Endpoint Strichartz estimates
- 1 October 1998
- journal article
- research article
- Published by Project MUSE in American Journal of Mathematics
- Vol. 120 (5) , 955-980
- https://doi.org/10.1353/ajm.1998.0039
Abstract
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension n ≥ 4) and the Schrödinger equation (in dimension n ≥ 3). Three other applications are discussed: local existence for a nonlinear wave equation; and Strichartz-type estimates for more general dispersive equations and for the kinetic transport equation.Keywords
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