IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i18p3943-d1241627.html
   My bibliography  Save this article

On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms

Author

Listed:
  • Lina N. Bondar

    (Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics, 4, Acad. Koptyug Avenue, 630090 Novosibirsk, Russia
    Department of Mathematics and Mechanics, Novosibirsk State University, 1, Pirogov St., 630090 Novosibirsk, Russia)

  • Gennadii V. Demidenko

    (Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics, 4, Acad. Koptyug Avenue, 630090 Novosibirsk, Russia
    Department of Mathematics and Mechanics, Novosibirsk State University, 1, Pirogov St., 630090 Novosibirsk, Russia)

Abstract

We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.

Suggested Citation

  • Lina N. Bondar & Gennadii V. Demidenko, 2023. "On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms," Mathematics, MDPI, vol. 11(18), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3943-:d:1241627
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/18/3943/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/18/3943/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:18:p:3943-:d:1241627. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.