This article is concerned with local solvability of the Cauchy problem for a quasilinear cubic wave equation in dimension $d=3$. Here, we improve the index of regularity of the initial data compared to the one given by classical energy methods.
Publié le : 2007-05-15
Classification:
quasilinear wave equations,
Strichartz estimates,
energy method,
20J05,
20C30
@article{1277472810,
author = {AZZOUZ, J. E. and IBRAHIM, S.},
title = {On the local solvability for a quasilinear cubic wave equation},
journal = {Hokkaido Math. J.},
volume = {36},
number = {4},
year = {2007},
pages = { 383-416},
language = {en},
url = {http://dml.mathdoc.fr/item/1277472810}
}
AZZOUZ, J. E.; IBRAHIM, S. On the local solvability for a quasilinear cubic wave equation. Hokkaido Math. J., Tome 36 (2007) no. 4, pp. 383-416. http://gdmltest.u-ga.fr/item/1277472810/