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 language | English (US) |
|---|---|
| Pages (from-to) | 35-58 |
| Number of pages | 24 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 3 |
| Issue number | 1 |
| State | Published - 1997 |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics