AZZOUZ J. E., IBRAHIM S.,
On the local solvability for a quasilinear cubic wave equation.
Hokkaido Mathematical Journal, 36 (2007) pp.383-416
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.
|Uncontrolled Keywords||quasilinear wave equations, Strichartz estimates, energy method|