The goal of this paper is to prove the existence, uniqueness and the energy decay of global regular solutions of the KdV equation in a bounded domain approximating it by the Kuramoto-Sivashinsky equations.
@article{7493,
title = {Korteweg-de Vries Equation in Bounded Domains - doi: 10.5269/bspm.v22i1.7493},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {23},
year = {2009},
doi = {10.5269/bspm.v22i1.7493},
language = {EN},
url = {http://dml.mathdoc.fr/item/7493}
}
Larkin, Nikolai A. Korteweg-de Vries Equation in Bounded Domains - doi: 10.5269/bspm.v22i1.7493. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v22i1.7493. http://gdmltest.u-ga.fr/item/7493/