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

Nikolai Larkin; Eduardo Tronco

doi:10.5269/bspm.v31i1.15303

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

Nikolai Larkin Universidade Estadual de Maringá Departamento de Matemática
Eduardo Tronco Universidade Estadual de Maringá Departamento de Matemática

DOI: https://doi.org/10.5269/bspm.v31i1.15303

Keywords: Zakharov-Kuznetsov equation, Exponential Decay

Abstract

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.

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Published

2011-11-19

Issue

Vol 31 No 1 (2013)

Section

Research Articles

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