A Remark on the Almost Global Existence Theorems of Keel, Smith and Sogge
A Remark on the Almost Global Existence Theorems of Keel, Smith and Sogge
We give a new proof of temporally global existence of small solutions for systems of semi-linear wave equations. Our proof uses the Klainerman-Sideris inequality and a space-time L2-estimate. We also discuss whether the scale-invariant version of the space-time L2-estimates can hold, and obtain some related estimates. Among other things, we …