A remark on the modified Zakharov-Kuznetsov equation in three space dimensions

Axel Grünrock

Type: Article

Publication Date: 2014-01-01

Citations: 28

DOI: https://doi.org/10.4310/mrl.2014.v21.n1.a10

Abstract

The Cauchy Problem for the modified Zakharov-Kuznetsov equation in three space dimensions is shown to be locally well-posed in H s (R 3 ) for s > 1 2 .Combined with the conservation of mass and energy this result implies global well-posedness for small data in H 1 (R 3 ).

Locations

Mathematical Research Letters - View - PDF
arXiv (Cornell University) - View - PDF

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+ PDF Chat	On KP-II type equations on cylinders	2009	Axel Grünrock Mahendra Panthee Jorge Drumond Silva
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+	On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations.	2009	Axel Grünrock