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发表刊物：Journal of Partial Differential Equations

关键字：Quasilinear hyperbolic system; matching condition; life-span; weak linear degen

摘要：In this paper, we consider Cauchy problem for general first order inhomogeneous quasilinear strictly hyperbolic systems. Under the matching condition, we first give an estimate on inhomogeneous terms. By this estimate, we obtain the asymptotic behaviour for the life-span of C^1 solutions with "slowly" decaying and small initial data and prove that the formation of singularity is due to the envelope of characteristics of the same family.

第一作者：李书敏

论文类型：期刊论文

学科门类：理学

文献类型：J

卷号：15

期号：1

页面范围：45-68

ISSN号：1000-940X

是否译文：否

发表时间：2002-02-01

发布期刊链接：https://www.global-sci.org/intro/article_detail/jpde/5440.html