A new proof of the global existence theorem of Klainerman for quasilinear wave equations
Preprint Series # 660 Hidano, Kunio and Yokoyama, Kazuyoshi A new proof of the global existence theorem of Klainerman for quasilinear wave equations. (2004); AbstractWe give a new proof of the global existence theorem of Klainerman for the Cauchy problem of quasilinear wave equations in space dimensions n \geq 4.
In addition to the KlainermanSideris inequality, a spacetime L^2estimate plays a key role in the proof. We answer a question raised by Metcalfe.
