%0 Journal Article
%T Global Existence of Classical Solution with Slowly Decaying Initial Data for Quasilinear Linearly Degenerate Hyperbolic Systems<br>线性退化的严格双曲组具慢衰减初值的Cauchy问题的经典解
%A Yan Ping
%A Cheng JiRong
%A Lv Teng
%A <br>闫萍
%A 盛其荣
%A 吕腾
%J 数学物理学报(A辑)
%D 2005
%I 
%X In this paper, the authors prove 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.
%K Linear degeneracy
%K Small initial total variation
%K Slowly decaying initial data
%K Quasilinear hyperbolic system<br>线性退化
%K 小全变差
%K 慢衰减初值
%K 拟线性双曲组
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=609591C0A8847E68&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=E158A972A605785F&sid=8143FF92EEF26F96&eid=283B38DAD0D068F3&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=8