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GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS
作者姓名:YAN  Ping
作者单位:YAN PING Institute of Mathematics,Fudan University,Shanghai 200433,China
摘    要:By means of the continuous Glimm functional,a proof is given on the global existence ofclassical solutions to Cauchy problem for general first order quasilinear hyperbolic systems withsmall initial total rariation.

关 键 词:经典解  拟线性双曲系统  特征值  Glimm泛函  存在性  Cauchy问题  全变差  波分解
收稿时间:1/2/2007 12:00:00 AM

GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS
YAN Ping.GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics,Series B,2002,23(3):335-348.
Authors:YAN Ping
Institution:Institute of Mathematics,Fudan University,Shanghai 200433,China.
Abstract:By means of the continuous Glimm functional, a proof is given on the global existence of classical solutions to Cauchy problem for general first order quasilinear hyperbolic systems with small initial total variation.
Keywords:Weak linear degeneracy  Continuous Glimm functional  Total variation  Global classical solution  Quasilinear hyperbolic system
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