IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/1025457.html
   My bibliography  Save this article

Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations

Author

Listed:
  • Gang Wang
  • Chaozhu Hu

Abstract

In this paper, a new abstract result is given to verify the continuity of exponential attractors with respect to a parameter for the underlying semigroup. We do not impose any compact embedding on the main assumptions in the abstract result which is different from the corresponding result established by Efendiev et al. in 2004. Consequently, it can be used for equations whose solutions have no higher regularity. As an application, we prove the continuity of exponential attractors in for a class of nonclassical diffusion equations with initial datum in .

Suggested Citation

  • Gang Wang & Chaozhu Hu, 2020. "Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, April.
    • Handle: RePEc:hin:jnddns:1025457
    DOI: 10.1155/2020/1025457
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2020/1025457.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2020/1025457.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/1025457?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:1025457. 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.