$C^{\infty}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space
Volume 60 / 2003
Banach Center Publications 60 (2003), 131-150
MSC: Primary 35L80; Secondary 35L15
DOI: 10.4064/bc60-0-11
Abstract
In this paper we prove the $C^{\infty}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations of second order with coefficients non-Lipschitz in $t\in [0,T]$ and smooth in $x\in \mathbb R^n$.
