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Commun. Korean Math. Soc. 2019; 34(2): 565-572
Online first article March 6, 2019 Printed April 30, 2019
https://doi.org/10.4134/CKMS.c180194
Copyright © The Korean Mathematical Society.
Global existence and stability of a Korteweg-de Vries equation in noncylindrical domain
Tae Gab Ha
Chonbuk National University
In this paper, we consider a Korteweg-de Vries equation in noncylindrical domain. This work is devoted to prove existence and uniqueness of global solutions employing Faedo-Galerkin's approximation and transformation of the noncylindrical domain with moving boundary into cylindrical one. Moreover, we estimate the exponential decay of solutions in the asymptotically cylindrical domain.
Keywords: existence of solution, energy decay, noncylindrical domain
MSC numbers: 35Q53, 35B40
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