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SEMI-GLOBAL C^1 SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS 被引量:30

SEMI-GLOBAL C^1 SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS
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摘要 By means of an equivalent invariant form of boundary conditions, the authors get the exis- tence and uniqueness of semi-global C1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems with general nonlinear boundary conditions. By means of an equivalent invariant form of boundary conditions, the authors get the exis- tence and uniqueness of semi-global C1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems with general nonlinear boundary conditions.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第3期325-336,共12页 数学年刊(B辑英文版)
基金 the Special Funds for Major State Basic Research Projects of China.
关键词 边值问题 拟线性双曲型组 存在性 唯一性 Semi-global C^1 solution, Mixed initial-boundary value problem, Quasilinear hyperbolic system
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参考文献7

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  • 7Li Tatsien,Chin Ann Math B,1981年,2卷,65页

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