IDEAS home Printed from https://ideas.repec.org/a/spr/pardea/v2y2021i5d10.1007_s42985-021-00123-6.html
   My bibliography  Save this article

The unique continuation property for second order evolution PDEs

Author

Listed:
  • Mourad Choulli

    (Université de Lorraine)

Abstract

We present a simple and self-contained approach to establish the unique continuation property for some classical evolution equations of second order in a cylindrical domain. We namely discuss this property for wave, parabolic and Schödinger operators with time-independent principal part. Our method is builds on two-parameter Carleman inequalities combined with unique continuation across a pseudo-convex hypersurface with respect to the space variable. The most results we demonstrate in this work are more or less classical. Some of them are not stated exactly as in their original form.

Suggested Citation

  • Mourad Choulli, 2021. "The unique continuation property for second order evolution PDEs," Partial Differential Equations and Applications, Springer, vol. 2(5), pages 1-46, October.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:5:d:10.1007_s42985-021-00123-6
    DOI: 10.1007/s42985-021-00123-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s42985-021-00123-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s42985-021-00123-6?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mourad Choulli, 2024. "Uniqueness of continuation for semilinear elliptic equations," Partial Differential Equations and Applications, Springer, vol. 5(4), pages 1-14, August.
    2. Mourad Bellassoued & Mourad Choulli, 2023. "Global logarithmic stability of a Cauchy problem for anisotropic wave equations," Partial Differential Equations and Applications, Springer, vol. 4(3), pages 1-44, June.

    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:spr:pardea:v:2:y:2021:i:5:d:10.1007_s42985-021-00123-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.