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20082026
most citedLocal solutions in Sobolev spaces with negative indices for the "good" Boussinesq equation

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math.AP2019★ 18 cited

Global well-posedness for low regularity data in the 2d modified Zakharov-Kuznetsov equation

Debdeep Bhattacharya, Luiz Gustavo Farah, Svetlana Roudenko

We consider the modified Zakharov-Kuznetsov (mZK) equation in two space dimensions in both focusing and defocusing cases. Using the -method, we prove the global well-posedness o…