Nikolai A. Larkin, Jackson Luchesi
Abstract:
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
.
Submitted July 23, 2010. Published November 24, 2010.
Math Subject Classifications: 35Q53.
Key Words: KdV equation; global solution; semigroups theory.
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Nikolai A. Larkin Departamento de Matemática, Universidade Estadual de Maringá Av. Colombo 5790: Agência UEM, 87020-900, Maringá, PR, Brazil email: nlarkine@uem.br | |
Jackson Luchesi Departamento de Matemática, Universidade Estadual de Maringá Av. Colombo 5790: Agência UEM, 87020-900, Maringá, PR, Brazil email: pg44391@uem.br |
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