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    Global Existence of Solutions for a Nonstrictly Hyperbolic System by De-yin Zheng, Yun-guang Lu, Guo-qiang Song, Xue-zhou Lu

    Published 2014-01-01
    “…First, by using the technique given in Tsuge (2006), we obtain the uniformly bounded L∞ estimates z(ρδ,ε,uδ,ε)≤B(x) and w(ρδ,ε,uδ,ε)≤β when a(x) is increasing (similarly, w(ρδ,ε, uδ,ε)≤B(x) and z(ρδ,ε,uδ,ε)≤β when a(x) is decreasing) for the ε-viscosity and δ-flux approximation solutions of nonhomogeneous, resonant system without the restriction z0(x)≤0 or w0(x)≤0 as given in Klingenberg and Lu (1997), where z and w are Riemann invariants of nonhomogeneous, resonant system; B(x)>0 is a uniformly bounded function of x depending only on the function a(x) given in nonhomogeneous, resonant system, and β is the bound of B(x). …”
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