Lifespan of Classical Discontinuous Solutions to General Quasilinear Hyperbolic Systems of Conservat

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  In the present paper,the author investigates the global structure stability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws under small BV perturbations of the initial data,where the Riemann solution contains rarefaction waves,while the perturbations are in BV but they are assumed to be C1-smooth,with bounded and possibly large C1-norms.
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