3 papers
math.AP2023
Local well-posedness of the higher order nonlinear Schrödinger equation on the half-line: single boundary condition case
Aykut Alkın, Dionyssios Mantzavinos, Türker Özsarı
We establish local well-posedness for the higher-order nonlinear Schrödinger equation, formulated on the half-line. We consider the scenario of associated coefficients such that on…
math.OC2021
Stabilization of higher order Schrödinger equations on a finite interval: Part II
Türker Özsarı, Kemal Cem Yılmaz
Backstepping based controller and observer models were designed for higher order linear and nonlinear Schrödinger equations on a finite interval in Part I of this study where the c…
math.AP2019
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping
Marcelo M. Cavalcanti, Wellington J. Corrêa, Türker Özsari +2
In this paper, we study the defocusing nonlinear Schrödinger equation with a locally distributed damping on a smooth bounded domain as well as on the whole space and on an exterior…