A remark on the almost global existence theorems of Keel, Smith and Sogge
Preprint Series # 659 Hidano, Kunio and Yokoyama, Kazuyoshi A remark on the almost global existence theorems of Keel, Smith and Sogge. (2004); AbstractWe shall give a new proof of temporally global existence of small solutions for systems of semilinear wave equations. Our proof uses the KlainermanSideris inequality and
a spacetime L^2estimate. We shall also discuss whether the scaleinvariant version
of the spacetime L^2estimates can hold, and obtain some related estimates.
Among other things, we prove that the KeelSmithSogge estimate actually holds in all space dimensions. Item Type:  Preprint 

Uncontrolled Keywords:  semilinear wave equation, null condition, global existence, spacetime L^2estimate 

Subjects:  35xx PARTIAL DIFFERENTIAL EQUATIONS 

ID Code:  359 

