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Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity |
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| Authors: | Libin Wang |
| Abstract: | In this paper we consider the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Without restriction on characteristics with constant multiplicity(> 1), under the assumptions that there is a genuinely nonlinear simple characteristic and the initial data possess certain decaying properties, the blow-up result is obtained for the C¹ solution to the Cauchy problem. |
| Keywords: | quasilinear hyperbolic system Cauchy problem formation of singularity life-span |
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