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math.AP2021
Controllability for Schrödinger type system with mixed dispersion on compact star graphs
Roberto de A. Capistrano-Filho, Márcio Cavalcante, Fernando Gallego
In this work we are concerned with solutions to the linear Schrödinger type system with mixed dispersion, the so-called biharmonic Schrödinger equation. Precisely, we are able to p…
math.AP2021
The nonlinear Quadratic Interactions of the Schrödinger type on the half-line
Isnaldo Isaac Barbosa, Márcio Cavalcante
In this work we study the initial boundary value problem associated with the coupled Schrödinger equations {with quadratic nonlinearities, that appears in nonlinear optics}, on the…