Type: Article

Global existence and asymptotic behavior of solutions to the homogeneous Neumann problem for ILW equation on a half-line

Martín P. Árciga Alejandre; Elena I. Kaikina;

Abstract:

We consider the homogeneous Neumann initial-boundary value problem for intermediate long-wave (ILW) equation on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.