Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: the case of two boundary conditions

Aykut Alkın, Dionyssios Mantzavinos, Türker Özsarı

We prove the local Hadamard well-posedness of the higher-order nonlinear Schrödinger equation with negative dispersion coefficient on the half-line under nonzero Dirichlet and Neum…