Shift-differentiability of the flow generated by a conservation law

Alberto Bressan, Graziano Guerra

Research output: Contribution to journalArticle

29 Scopus citations

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 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.

Original languageEnglish (US)
Pages (from-to)35-58
Number of pages24
JournalDiscrete and Continuous Dynamical Systems
Volume3
Issue number1
StatePublished - Dec 1 1997

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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