IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/3060867.html
   My bibliography  Save this article

Boundary Effect on Asymptotic Behavior of Solutions to the - System with Time-Dependent Damping

Author

Listed:
  • Ran Duan
  • Mina Jiang
  • Yinghui Zhang

Abstract

In this paper, we consider the asymptotic behavior of solutions to the - system with time-dependent damping on the half-line , with the Dirichlet boundary condition , in particular, including the constant and nonconstant coefficient damping. The initial data have the constant state at . We prove that the solutions time-asymptotically converge to as tends to infinity. Compared with previous results about the - system with constant coefficient damping, we obtain a general result when the initial perturbation belongs to . Our proof is based on the time-weighted energy method.

Suggested Citation

  • Ran Duan & Mina Jiang & Yinghui Zhang, 2020. "Boundary Effect on Asymptotic Behavior of Solutions to the - System with Time-Dependent Damping," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-17, January.
    • Handle: RePEc:hin:jnlamp:3060867
    DOI: 10.1155/2020/3060867
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2020/3060867.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2020/3060867.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/3060867?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:jnlamp:3060867. 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.