The nonhomogeneous boundary-value problems for the 1D-NLS equation with lineal boundary condition
摘要
In this paper, we study the initial-boundary-value problem for the cubic nonlinear Schrödinger equation, formulated on a half-line with different inhomogeneous boundaries data. We study the well-posedness in the case of Neumann and Robin condition in Sobolev space of low regularity. Also, we revisit, in a self-consistent way, some results concerning the Dirichlet condition.