Stabilization of Solutions to Higher-order Nonlinear Schrödinger Equation with Localized Damping

  title={Stabilization of Solutions to Higher-order Nonlinear Schr{\"o}dinger Equation with Localized Damping},
  author={ELENI BISOGNIN and VANILDE BISOGNIN and Octavio Paulo Vera Villagr{\'a}n},
We study the stabilization of solutions to higher-order nonlinear Schrödinger equations in a bounded interval under the effect of a localized damping mechanism. We use multiplier techniques to obtain exponential decay in time of the solutions of the linear and nonlinear equations. 

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