Bahouri, Hajer; Chemin, Jean-Yves Strichartz inequalities and quasilinear wave equations. (Inégalités de Strichartz et équations d’ondes quasilinéaires.) (French) Zbl 1059.35515 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1997-1998, Exp. No. XXIII, 15 p. (1998). 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. Cited in 2 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 35B45 A priori estimates in context of PDEs Keywords:Lipschitz continuous coefficients; local wellposedness PDFBibTeX XMLCite \textit{H. Bahouri} and \textit{J.-Y. Chemin}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1997--1998, Exp. No. XXIII, 15 p. (1998; Zbl 1059.35515) Full Text: Numdam EuDML