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

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

Year:    2021

Author:    Octavio Paulo Vera Villagran

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 268–283

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 Schrödinger equation in domains with moving boundaries. We consider two situations for the stabilization: the conservative case and the dissipative case.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v34.n3.5

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 268–283

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Nonlinear Schrödinger equation moving boundary stabilization.

Author Details

Octavio Paulo Vera Villagran

  1. Higher Order Nonlinear Schrödinger Equation in Domains With Moving Boundaries

    Nina‐Mollisaca, Raúl

    Sepúlveda‐Cortés, Mauricio

    Véjar‐Asem, Rodrigo

    Vera‐Villagrán, Octavio

    (2025)

    https://doi.org/10.1002/mma.11000 [Citations: 0]