We improve recent results of H. Bahouri and J.-Y. Chemin and of
D. Tataru concerning local well-posedness theory for quasilinear wave
equations. Our approach is based on the proof of the Strichartz
estimates using a combination of geometric methods and harmonic
analysis. The geometric component relies on and takes advantage of the
nonlinear structure of the equation.
Publié le : 2003-03-15
Classification:
35L70,
35B30,
35L15,
58J45
@article{1085598339,
author = {Klainerman, S. and Rodnianski, I.},
title = {Improved local well-posedness for quasilinear wave equations in dimension three},
journal = {Duke Math. J.},
volume = {120},
number = {3},
year = {2003},
pages = { 1-124},
language = {en},
url = {http://dml.mathdoc.fr/item/1085598339}
}
Klainerman, S.; Rodnianski, I. Improved local well-posedness for quasilinear wave equations in dimension three. Duke Math. J., Tome 120 (2003) no. 3, pp. 1-124. http://gdmltest.u-ga.fr/item/1085598339/