关键词: 线性退化, 小全变差, 慢衰减初值, 拟线性双曲组

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