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 language||English (US)|
|Number of pages||24|
|Journal||Discrete and Continuous Dynamical Systems|
|State||Published - Dec 1 1997|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics