GRADIENT CATASTROPHE IN THE .CLASSICAL SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Classical solution blow up strictly hyperbolic dissipation existence.
• 年，卷（期）: 2000,（1）
• 页码范围: 28-34
• 页数: 7页
• 分类号: O175.29, O175.27
• 语种: 英文

摘要

Classical solutions of hyperbolic systems, generally, collapse in finite time, even for small and smooth initial data. Here, we consider a type of these systems and prove a blow up result.