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SBV regularity of Entropy Solutions for Hyperbolic Systems of Balance Laws with General Flux function

SBV regularity of Entropy Solutions for Hyperbolic Systems of Balance Laws with General Flux function

We prove that vanishing viscosity solutions to smooth non-degenerate systems of balance laws having small bounded variation, in one space dimension, must be functions of special bounded variation. For more than one equation, this is new also in the case of systems of conservation laws out of the context of …