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Shift-differentiabilitiy of the flow generated by a conservation law

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  • The paper introduces a notion of "shift-differentials" for maps with values in the space BV. These differentials describe first order variations of a given function $u$, obtained by horizontal shifts of the points of its graph. The flow generated by a scalar conservation law is proved to be generically shift-differentiable, according to the new definition.
    Mathematics Subject Classification: 35L65.

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