IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/2139792.html
   My bibliography  Save this article

Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing

Author

Listed:
  • Lianbing She
  • Yangrong Li
  • Renhai Wang

Abstract

This paper deals with pullback dynamics for the weakly damped Schrödinger equation with time-dependent forcing. An increasing, bounded, and pullback absorbing set is obtained if the forcing and its time-derivative are backward uniformly integrable. Also, we obtain the forward absorption, which is only used to deduce the backward compact-decay decomposition according to high and low frequencies. Based on a new existence theorem of a backward compact pullback attractor, we show that the nonautonomous Schrödinger equation has a pullback attractor which is compact in the past. The method of energy, high-low frequency decomposition, Sobolev embedding, and interpolation are quite involved in calculating a priori pullback or forward bound.

Suggested Citation

  • Lianbing She & Yangrong Li & Renhai Wang, 2018. "Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-14, January.
    • Handle: RePEc:hin:jnddns:2139792
    DOI: 10.1155/2018/2139792
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2018/2139792.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2018/2139792.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/2139792?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnddns:2139792. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.