Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 113, pp. 1-22.

Title: Nonlinear quarter-plane problem for the Korteweg-de Vries equation

Authors: Nikolai A. Larkin (Univ. Estadual de Maringa, Brazil)
         Eduardo Tronco    (Univ. Estadual de Maringa, Brazil)

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.