Preprint 1996-017

Shift-Differentiability of the Flow Generated by a Conservation Law

A. Bressan and G. Guerra


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.


Paper:
Available as PostScript
Title:
Shift-Differentiability of the Flow Generated by a Conservation Law
Author(s):
A. Bressan, mailto:bressan@shannon.sissa.it
G. Guerra, mailto:guerra@alpha.disat.unimi.it
Publishing information:
Submitted to Discrete & Continuous Dynamical Systems
Submitted by:
mailto:guerra@alpha.disat.unimi.it July 2 1996.


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