Well-posedness of the nonlinear Schrödinger equation on the half-plane
Well-posedness of the nonlinear Schrödinger equation on the half-plane
The initial-boundary value problem (ibvp) for the nonlinear Schrödinger (NLS) equation on the half-plane with nonzero boundary data is studied by advancing a novel approach recently developed for the well-posedness of the cubic NLS equation on the half-line, which takes advantage of the solution formula produced via the unified transform …