General boundary conditions for the Kawahara equation on bounded intervals

This article is concerned with initial boundary value problems for the Kawahara equation on bounded intervals. For general linear boundary conditions and small initial data, we prove the existence and uniqueness of a global regular solution and exponential decay as t approaches infinty.

Bibliographic Details
Main Authors: Nikolai A. Larkin, Marcio H. Simoes
Format: Article
Language:English
Published: Texas State University 2013-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/159/abstr.html