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.
Original language | English (US) |
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Pages (from-to) | 955-980 |
Number of pages | 26 |
Journal | American Journal of Mathematics |
Volume | 120 |
Issue number | 5 |
DOIs | |
State | Published - Oct 1998 |