3 papers
math.AP2026
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…
math.AP2025
A new approach for the analysis of evolution partial differential equations on a finite interval
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris
We show that, for certain evolution partial differential equations, the solution on a finite interval can be reconstructed as a superposition of restrictions to $(0,\ell…
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…