General mixed problems for the KdV equations on bounded intervals

This article is concerned with initial-boundary value problems for the Korteweg-de Vries (KdV) equation on bounded intervals. For general linear boundary conditions and small initial data, we prove the existence and uniqueness of global regular solutions and its exponential decay, as $toinfty$....

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Bibliographic Details
Main Authors: Nikolai A. Larkin, Jackson Luchesi
Format: Article
Language:English
Published: Texas State University 2010-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/168/abstr.html