Nikolai A. Larkin, Eduardo Tronco
Abstract:
This article concerns an initial-boundary value problem in a
quarter-plane for the Korteweg-de Vries (KdV) equation. For
general nonlinear boundary conditions we prove the existence and
uniqueness of a global regular solution.
Submitted June 18, 2011. Published August 30, 2011.
Math Subject Classifications: 35Q53.
Key Words: KdV equation; global solution; semi-discretization.
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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 |
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Eduardo Tronco Departamento de Matemática Universidade Estadual de Maringá Av. Colombo 5790: Agência UEM, 87020-900 Maringá, PR, Brazil email: etronco2@uem.br |
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