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Strichartz inequalities and quasilinear wave equations. (Inégalités de Strichartz et équations d’ondes quasilinéaires.) (French) Zbl 1059.35515

Summary: Our aim is the proof of local wellposedness for quasilinear wave equations for initial data less regular than what is required by energy method. This implies to prove Strichartz type estimates for wave operators whose coefficients are only Lipschitz.

MSC:

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