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Ground state solitary waves local controllability for the nonlinear focusing Schrödinger equation in the mass critical and mass slightly subcritical case
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The fractional Schrödinger equation on compact manifolds: global controllability results
Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation
Marcelo M. Cavalcanti, Wellington J. Corrêa, Andrei V. Faminskii, Mauricio A. Sepúlveda C. and Rodrigo Véjar-Asem Computers & Mathematics with Applications 96 188 (2021) https://doi.org/10.1016/j.camwa.2021.05.001
Local controllability and stability of the periodic fifth-order KdV equation with a nonlinear dispersive term
Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces
Marcelo M. Cavalcanti, Wellington J. Corrêa, Valéria N. Domingos Cavalcanti and Maria R. Astudillo Rojas Zeitschrift für angewandte Mathematik und Physik 69(4) (2018) https://doi.org/10.1007/s00033-018-0985-y
Asymptotics for Optimal Design Problems for the Schrödinger Equation with a Potential
Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation
Marcelo M. Cavalcanti, Wellington J. Corrêa, Valéria N. Domingos Cavalcanti and Louis Tebou Journal of Differential Equations 262(3) 2521 (2017) https://doi.org/10.1016/j.jde.2016.11.002
Jerzy Klamka, Adam Czornik, Michał Niezabitowski and Artur Babiarz Lecture Notes in Computer Science, Intelligent Information and Database Systems 9011 313 (2015) https://doi.org/10.1007/978-3-319-15702-3_31
Exponential Stabilization for the Nonlinear Schrödinger Equation with Localized Damping