Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems

Abstract

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.

Keywords

First order quasi-linear hyperbolic systems / Lipschitz continuous solution / Cauchy problem / Existence and uniqueness

References

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