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math.AP2024
Well-posedness of the higher-order nonlinear Schrödinger equation on a finite interval
Chris Mayo, Dionyssios Mantzavinos, Türker Ozsarı
We establish the local Hadamard well-posedness of a certain third-order nonlinear Schrödinger equation with a multi-term linear part and a general power nonlinearity known as the h…
math.AP2024
Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane
Dionyssios Mantzavinos, Türker Ozsarı
The Hadamard well-posedness of the nonlinear Schrödinger equation with power nonlinearity formulated on the spatial quarter-plane is established in a low-regularity setting with So…