The zero dispersion limit for the Benjamin–Ono equation on the line
We identify the zero dispersion limit of a solution of the Benjamin–Ono equation on the line corresponding to every initial datum in $L^2(\mathbb{R})\cap L^\infty (\mathbb{R})$. We infer a maximum principle and a local smoothing property for this limit. The proof is based on an explicit formula for...
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.575/ |
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