Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries

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Abstract

"

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\u00f6dinger equation in domains with moving boundaries. We consider two situations for the stabilization: the conservative case and the dissipative case.<\/p>"

Keywords:

Nonlinear Schrödinger equation moving boundary stabilization.
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DOI

10.4208/jpde.v34.n3.5

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Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries. (2021). Journal of Partial Differential Equations, 34(3), 268-283. https://doi.org/10.4208/jpde.v34.n3.5
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