Regular solutions of the 2D Zakharov-Kuznetsov equation on a half-strip

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• 作者：Nikolai A. Larkin ; Eduardo Tronco
• 关键词：35M20 ; 35Q72
• 刊名：Journal of Differential Equations
• 出版年：2013
• 出版时间：1 January, 2013
• 年：2013
• 卷：254
• 期：1
• 页码：81-101
• 全文大小：238 K

文摘

We formulate on a half-strip an initial boundary value problem for the Zakharov-Kuznetsov equation. Existence and uniqueness of a regular solution as well as the exponential decay rate of small solutions as are proven.