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arXiv · 1212.4445

Global well-posedness for the k-dispersion generalized Benjamin-Ono equation

Luiz Gustavo Farah·Felipe Linares·Ademir Pastor
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Abstract

We consider the $k$-dispersion generalized Benjamin-Ono equation in the supercritical case. We establish sharp conditions on the data to show global well-posedness in the energy space for this family of nonlinear dispersive equations. We also prove similar results for the generalized Benjamin-Ono equation.

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Luiz Gustavo Farah, Felipe Linares, Ademir Pastor. 2012-12-18. Global well-posedness for the k-dispersion generalized Benjamin-Ono equation. https://arxiv.org/abs/1212.4445

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