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GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS 被引量:5

GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS
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摘要 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. 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第3期335-348,共14页 数学年刊(B辑英文版)
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 Weak linear degeneracy, Continuous Glimm functional, Total variation, Global classical solution, Quasilinear hyperbolic system
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