GLOBAL EXISTENCE OF CLASSICAL SOLUTION WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR LINEARLY DEGENERATE HYPERBOLIC SYSTEMS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Linear degeneracy small initial total variation slowly decaying initial data global classical solution quasilinear hyperbolic system.
• 年，卷（期）: 2003,（4）
• 页码范围: 321-334
• 页数: 14页
• 分类号: O175.27
• 语种: 英文

摘要

In this paper,the author proves the global existence of classical solution to the Cauchy problem with slowly decaying initial data with small initial total variation for general first order quasilinear linearly degenerate hyperbolic systems.This generalizes the corresponding result of A.Bressan for initial data with compact support.