FORMATION OF SINGULARITIES FOR QUASILINEAR HYPERBOLIC SYSTEMS WITH CHARACTERISTICS WITH CONSTANT MULTIPLICITY

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Quasilinear hyperbolic systems Cauchy problem formation of singularity life-span
• 年，卷（期）: 2005,（4）
• 页码范围: 355-370
• 页数: 16页
• 分类号: O175.27|O175.29
• 语种: 英文

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), a blow-up result is obtained for the C1 solution to the Cauchy problem under the assumptions where there is a simple genuinely nonlinear characteristic and the initial data possess certain weaker decaying properties.