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Endpoint Strichartz estimates
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 120, Number 5, October 1998
- pp. 955-980
- 10.1353/ajm.1998.0039
- Article
- Additional Information
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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.
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