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| Lipschitz Continuous Solutions to the Cauchy Problem for Quasi-linear Hyperbolic Systems |
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Citation： |
Xiang CHEN.Lipschitz Continuous Solutions to the Cauchy Problem for Quasi-linear Hyperbolic Systems[J].Chinese Annals of Mathematics B,2012,33(4):521~536 |
| Page view： 1934
Net amount： 1382 |
Authors： |
Xiang CHEN; |
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| 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 |
Classification： |
35D05, 35L40, 35L45 |
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