Tohoku Mathematical Journal
2004
June
SECOND SERIES VOL. 56, NO. 2

Tohoku Math. J.
56 (2004), 271-287

Title AN ELEMENTARY PROOF OF GLOBAL OR ALMOST GLOBAL EXISTENCE FOR QUASI-LINEAR WAVE EQUATIONS

Author Kunio Hidano

(Received October 21, 2002, revised May 27, 2003)
Abstract. We give a new, elementary proof of the global or almost global existence theorem of S. Klainerman. Our result also covers the almost global existence theorem of M. Keel, F. Smith, and C. D. Sogge. The proof is carried out in line with S. Klainerman and T. C. Sideris.

2000 Mathematics Subject Classification. Primary 35L70.
Key words and phrases. Quasi-linear wave equation, initial value problem.

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