## Endpoint Strichartz estimates.(English)Zbl 0922.35028

Authors’ abstract: We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension $$n\geq 4)$$ and the Schrödinger equation (in dimension $$n\geq 3$$). 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.

### MSC:

 35B45 A priori estimates in context of PDEs 35L70 Second-order nonlinear hyperbolic equations
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