-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space
Tom 60 / 2003
Banach Center Publications 60 (2003), 131-150
MSC: Primary 35L80; Secondary 35L15
DOI: 10.4064/bc60-0-11
Streszczenie
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.
