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) |
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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