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GLOBAL EXISTENCE OF WEAKLY DISCONTIN UOUS SOLUTIONS TO THE CAUCHY PROBLEM WITH A KIND OF NON-SMOOTH INITIAL DATA FOR QUASILINEAR HYPERBOLIC SYSTEMS 被引量:10

GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO THE CAUCHY PROBLEM WITH A KIND OF NON-SMOOTH INITIAL DATA FOR QUASILINEAR HYPERBOLIC SYSTEMS
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摘要 The authors consider the Cauchy problem with a kind of non-smooth initial data for quasilinear hyperbolic systems and obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution. The authors consider the Cauchy problem with a kind of non-smooth initial data for quasilinear hyperbolic systems and obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第3期319-334,共16页 数学年刊(B辑英文版)
基金 Project supported by the Special Funds for Major State Basic Research Projects of China
关键词 柯西级数 拟线性双曲线 充分必要条件 存在唯一性 定理 Quasilinear hyperbolic system Cauchy problem Global weakly discontinuous solution Weakly linear degeneracy
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