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.
Publié le : 2004-06-14
Classification:
Quasi-linear wave equation,
initial value problem,
35L70,
35L05,
35L15,
35L55,
35L90
@article{1113246554,
author = {Hidano, Kunio},
title = {An elementary proof of global or almost global existence for quasi-linear wave equations},
journal = {Tohoku Math. J. (2)},
volume = {56},
number = {1},
year = {2004},
pages = { 271-287},
language = {en},
url = {http://dml.mathdoc.fr/item/1113246554}
}
Hidano, Kunio. An elementary proof of global or almost global existence for quasi-linear wave equations. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp. 271-287. http://gdmltest.u-ga.fr/item/1113246554/