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On the cauchy problem for a family of quasilinear hyperbolic equations |
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| Authors: | Adrian Constantin Joachim Escher |
| Institution: | 1. Universitat Zürich , Zürich, CH-8057, Switzerland;2. Universit?t Kassel , Kassel, D-34132, Germany |
| Abstract: | We prove local well-posedness and give some global existence and blow-up criteria for solutions of a family of quasilinear hyperbolic equations arising in shallow water theory. |
| Keywords: | Well-posedness global existence blow-up |