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Shift-differentiability of the flow generated by a conservation law

TitleShift-differentiability of the flow generated by a conservation law
Publication TypeJournal Article
Year of Publication1997
AuthorsBressan, A, Guerra, G
JournalDiscrete Contin. Dynam. Systems 3 (1997), no. 1, 35--58.
Abstract

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 functin $u$, 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.

URLhttp://hdl.handle.net/1963/1033

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