On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915389440524288 |
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| author | Bustamante, Eddye Alejandro Jiménez, Jose Manuel Muñoz, Alexander |
| author_facet | Bustamante, Eddye Alejandro Jiménez, Jose Manuel Muñoz, Alexander |
| contents | This work is devoted to study the relation between regularity and decay for solutions of the two-dimensional modified Zakharov-Kuznetsov equation in the weighted Sobolev spaces $Z_{s,(r_1,r_2)}:=H^s(\R^2)\cap L^2((1+|x|^{2r_1}+|y|^{2r_2})dxdy)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19526 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation Bustamante, Eddye Alejandro Jiménez, Jose Manuel Muñoz, Alexander Analysis of PDEs This work is devoted to study the relation between regularity and decay for solutions of the two-dimensional modified Zakharov-Kuznetsov equation in the weighted Sobolev spaces $Z_{s,(r_1,r_2)}:=H^s(\R^2)\cap L^2((1+|x|^{2r_1}+|y|^{2r_2})dxdy)$. |
| title | On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.19526 |