Abstract
We show that the Kružkov solution of the Cauchy problem for a scalar conservation law in one spatial dimension propagates regulated initial data into regulated solutions at later times. The proof is based on standard front-tracking and an extension, due to Fraňková, of Helly's selection principle.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3114-3130 |
| Number of pages | 17 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 52 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2020 |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics
Fingerprint
Dive into the research topics of 'One-dimensional scalar conservation laws with regulated data'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver