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Abstract

It is shown that self-similar BV solutions of genuinely nonlinear strictly hyperbolic systems of conservation laws are special functions of bounded variation, with vanishing Cantor part.

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Correspondence to Constantine M. Dafermos.

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Supported by the National Science Foundation under grants DMS-0202888 and DMS-0244295.

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Dafermos, C.M. Wave fans are special. Acta Math. Appl. Sin. Engl. Ser. 24, 369–374 (2008). https://doi.org/10.1007/s10255-008-8010-4

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  • DOI: https://doi.org/10.1007/s10255-008-8010-4

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