Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation on cylindrical spaces
| Autor: | Osawa, Satoshi, Takaoka, Hideo |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove that the Zakharov-Kuznetsov equation on cylindrical spaces is globally well-posed below the energy norm. As is known, local well-posedness below energy space was obtained by the first author. We adapt I-method to extend the solutions globally in time. Using modified energies, we obtain the polynomial bounds on the $H^s$ growth for the global solutions. Comment: 24 pages |
| Databáze: | arXiv |
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