Stabilization for a Fourth Order Nonlinear Schr(o)dinger Equation in Domains with Moving Boundaries

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In the present paper we study the well-posedness using the Galerkin method and the stabilization considering multiplier techniques for a fourth-order nonlinear Schr(o)dinger equation in domains with moving boundaries.We consider two situa-tions for the stabilization:the conservative case and the dissipative case.
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