MR2154375
Hidano, Kunio and Yokoyama, Kazuyoshi
Kunio HIDANO and Kazuyoshi YOKOYAMA
A Remark on the Almost Global Existence Theorems of Keel, Smith and Sogge
Funkcialaj Ekvacioj. Serio Internacia
48
2005
1--34
http://fe.math.kobe-u.ac.jp/FE/FullPapers/48-1/48_1.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2154375
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 $L^2$-estimate. We also discuss whether the scale-invariant version of the space-time $L^2$-estimates can hold, and obtain some related estimates. Among other things, we prove that the Keel-Smith-Sogge estimate actually holds in all space dimensions.
Semi-linear wave equation, Null condition, Global existence, Space-time $L^2$-estimate.
35L15, 35L70.
48-1
2005
A Remark on the Almost Global Existence Theorems of Keel, Smith and Sogge
HIDANO, Kunio and YOKOYAMA, Kazuyoshi
Kunio HIDANO and Kazuyoshi YOKOYAMA
1
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