Lipschitz Continuous Solutions to the Cauchy Problem for Quasi-linear Hyperbolic Systems
Lipschitz Continuous Solutions to the Cauchy Problem for Quasi-linear Hyperbolic Systems
摘要
Lipschitz continuous solutions to the Cauchy problem for 1-D first order quasi-linear 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.
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