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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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 955-980
Launched on MUSE
1998-10-01
Open Access
No
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