Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (4): 473-481.

• Articles • Previous Articles     Next Articles

Global Existence of Classical Solution with Slowly Decaying Initial Data for Quasilinear Linearly Degenerate Hyperbolic Systems

 YAN Ping, CHENG Ji-Rong, LV Teng-   

  • Online:2005-08-25 Published:2005-08-25

Abstract:

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

Key words: Linear degeneracy, Small initial total variation, Slowly  decaying initial data, Quasilinear hyperbolic system

CLC Number: 

  • 35L45
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