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initial data(arXiv) Author : Jun Li, Gang Xu, Huicheng Yin Abstract : For the first order 1D n×n quasilinear strictly hyperbolic system ∂tu+F(u)∂xu=0 with u(x,0)=εu0(x), where ε>0 is small, u0(x)≢0 and u0(x)∈C20(R), when at least one eigenvalue of F(u) is genuinely nonlinear, it is well-known that