A note on contractive semi-groups on a 1:1 junction for scalar conservation laws and Hamilton–Jacobi equations
We characterize the continuous semi-groups on $L^1(\mathbb{R})$ which coincide with a scalar conservation law $\rho _t+(f(\rho ))_x=0$ in $\mathbb{R}_+\times (\mathbb{R}\setminus \lbrace 0\rbrace )$ and are $L^1$-contracting. In a symmetric way, we characterize the continuous semi-groups on $W^{1,\i...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2025-05-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.727/ |
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