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FORMATION OF SINGULARITIES FOR QUASILINEAR HYPERBOLIC SYSTEMS WITH CHARACTERISTICS WITH CONSTANT MULTIPLICITY 被引量:1

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摘要 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 C^1 solution to the Cauchy problem.
作者 WangLibin
机构地区 InstituteofMathematics
出处 《Journal of Partial Differential Equations》 2003年第3期240-254,共15页 偏微分方程(英文版)
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