Type: Article

Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Esquivel, Liliana; Hayashi, Nakao; Kaikina, Elena I.;

Abstract:

We consider the inhomogeneous Neumann-boundary value problem for the nonlinear Schrödinger equations on the half-line. We presentsufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to the equations by using the classicalenergy method and factorization techniques