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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.23092 |
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| _version_ | 1866918517786279936 |
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| author | Avelino, E Doronin, G |
| author_facet | Avelino, E Doronin, G |
| contents | Studied here is the Zakharov--Kuznetsov equation with a linear transport term posed on a half-strip with nonhomogeneous boundary condition. Using Bourgain-type spaces adapted to the ZK dispersive structure, anisotropic smoothing and boundary trace estimates, we establish its local well-posedness in $L^2.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23092 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low-regularity well-posedness for the ZK equation on a half-strip Avelino, E Doronin, G Analysis of PDEs 35Q55 Studied here is the Zakharov--Kuznetsov equation with a linear transport term posed on a half-strip with nonhomogeneous boundary condition. Using Bourgain-type spaces adapted to the ZK dispersive structure, anisotropic smoothing and boundary trace estimates, we establish its local well-posedness in $L^2.$ |
| title | Low-regularity well-posedness for the ZK equation on a half-strip |
| topic | Analysis of PDEs 35Q55 |
| url | https://arxiv.org/abs/2605.23092 |