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Volume 34, Issue 3
Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries

Octavio Paulo Vera Villagran

DOI: 10.4208/jpde.v34.n3.5

J. Part. Diff. Eq., 34 (2021), pp. 268-283.

Published online: 2021-07

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

  • Keywords

Nonlinear Schrödinger equation, moving boundary, stabilization.

  • AMS Subject Headings

35Q53, 35Q55, 47J353, 35B35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

octaviovera49@gmail.com (Octavio Paulo Vera Villagran)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-268, author = {Vera Villagran , Octavio Paulo}, title = {Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {3}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n3.5}, url = {http://global-sci.org/intro/article_detail/jpde/19324.html} }
TY - JOUR T1 - Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries AU - Vera Villagran , Octavio Paulo JO - Journal of Partial Differential Equations VL - 3 SP - 268 EP - 283 PY - 2021 DA - 2021/07 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n3.5 UR - https://global-sci.org/intro/article_detail/jpde/19324.html KW - Nonlinear Schrödinger equation, moving boundary, stabilization. AB -

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.

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