Abstract
The Cauchy problem for a special class of 2 × 2 systems of conservation laws with data in L1 ∩ L∞ is considered. In the strictly hyperbolic case we prove the existence of a weak solution which depends continuously on the initial data with respect to the L1-norm. This solution can be characterized in terms of a Kružkov-type entropy condition, which is introduced here.
Original language | English (US) |
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Pages (from-to) | 161-185 |
Number of pages | 25 |
Journal | Journal of Differential Equations |
Volume | 140 |
Issue number | 1 |
DOIs | |
State | Published - Oct 10 1997 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics