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arXiv · 2107.01482

The IVP for a certain dispersion generalized ZK equation in bi-periodic spaces

Carolina Albarracin·Guillermo Rodriguez-Blanco
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Abstract

We establish well-posedness conclusions for the Cauchy problem associated to the dispersion generalized Zakharov-Kutnesov equation in bi-periodic Sobolev spaces $H^{s}\left(\mathbb{T}^{2}\right)$, $s>(\frac{3}{2}-\frac{1}{2^{\alpha+2}})(\frac{3}{2}-\frac{\beta}{4})$.

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Carolina Albarracin, Guillermo Rodriguez-Blanco. 2021-07-03. The IVP for a certain dispersion generalized ZK equation in bi-periodic spaces. https://arxiv.org/abs/2107.01482

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