Decay of Small Solutions for the Zakharov-Kuznetsov Equation posed on a half-strip

We formulate in a half-strip an initial boundary value problem for the Zakharov-Kuznetsov equation. Assuming the existence of a regular global solution, we prove an exponential decay for small initial data.

Bibliographic Details
Main Authors: Nikolai Larkin, Eduardo Tronco
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15303