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OALib Journal期刊
ISSN: 2333-9721
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Global Existence of Classical Solution with Slowly Decaying Initial Data for Quasilinear Linearly Degenerate Hyperbolic Systems
线性退化的严格双曲组具慢衰减初值的Cauchy问题的经典解

Keywords: Linear degeneracy,Small initial total variation,Slowly decaying initial data,Quasilinear hyperbolic system
线性退化
,小全变差,慢衰减初值,拟线性双曲组

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Abstract:

In this paper, the authors prove the global existence of classical solution to the Cauchy problem with slowly decaying initial data with small initial total variation for general first order quasilinear linearly degenerate hyperbolic systems. This generalizes the corresponding result of A Bressan for initial data with compact support.

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