The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line
The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line
We prove local well-posedness for the initial-boundary value problem associated to some quadratic nonlinear Schrödinger equations on the half-line. The results are obtained in the low regularity setting by introducing an analytic family of boundary forcing operators, following the ideas developed in [14].