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

Authors

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.

Downloads

Published

2011-11-19

Issue

Vol. 31 No. 1 (2013)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

How to Cite

Larkin, N., & Tronco, E. (2011). Decay of Small Solutions for the Zakharov-Kuznetsov Equation posed on a half-strip. Boletim Da Sociedade Paranaense De Matemática, 31(1), 57-64. https://doi.org/10.5269/bspm.v31i1.15303