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A new proof of the global existence theorem of Klainerman for quasi-linear wave equations

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Abstract

We give a new proof of the global existence theorem of Klainerman for the Cauchy problem of quasi-linear wave equations in space dimensions n≥4. In addition to the Klainerman-Sideris inequality,a space-time L²-estimate plays a key role in the proof. We answer a question raised by Metcalfe.

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