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POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS 被引量:3

POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS
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摘要 This paper considers the pointwise estimate of the solutions to Cauchy problem for quasilin-ear hyperbolic systems, which bases on the existence of the solutions by using the fundamental solutions. It gives a sharp pointwise estimates of the solutions on domam under consideration. Specially, the estimate is precise near each characteristic direction.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第4期457-468,共12页 数学年刊(B辑英文版)
基金 the National Natural Science Foundation of China(No.10131050).
关键词 Weakly linearly degenerate Matching condition Normalize translation and normalize coordinate 逐点估计 存在性 Cauchy问题 拟线性双曲型方程 弱退化 时间渐近性 基解
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