an:06112846
Zbl 1257.35119
Chen, Xiang
Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems
EN
Chin. Ann. Math., Ser. B 33, No. 4, 521-536 (2012).
00305682
2012
j
35L45 35D30 35L60
existence and uniqueness; one space dimension
Summary: Lipschitz continuous solutions to the Cauchy problem for 1-D first order quasilinear hyperbolic systems are considered. Based on the methods of approximation and integral equations, the author gives two definitions of Lipschitz solutions to the Cauchy problem and proves the existence and uniqueness of solutions.