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LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLIC SYSTEMS IN SEVERAL SPACE DIMENSIONS

LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLIC SYSTEMS IN SEVERAL SPACE DIMENSIONS
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摘要 This paper studies first order semilinear hyperbolic systems in n(n≥2)space dimensions.Under the hypothesis that the system satisfies so called`null condition',the local well posedness for its Cauchy problem with initial data in H n-12 is proved. This paper studies first order semilinear hyperbolic systems in n(n≥2)space dimensions.Under the hypothesis that the system satisfies so called`null condition',the local well posedness for its Cauchy problem with initial data in H n-12 is proved.
作者 ZHOU YI
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1997年第2期223-232,共10页 数学年刊(B辑英文版)
关键词 Semilinear hyperbolic systems Local well posedness Cauchy problem Semilinear hyperbolic systems Local well posedness Cauchy problem
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