,CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS WITH CHARACTERISTICS WITH CONSTANT MULTIPLICITY

• 作 者: Wang Libin
• 机 构: Institute of Mathematics, Fudan University, Shanghai 200433, China
• 出 处: 偏微分方程（英文版）
• 发表日期: 2004年3期
• 关键词: Quasilinear hyperbolic system Cauchy problem global classical solution formation

For quasilinear hyperbolic systems with characteristics of constant multiplicity, suppose that characteristics of constant multiplicity(＞1) are linearly degenerate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C1 solution to the Cauchy problem under an additional hypothesis.