IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-662-08966-8_4.html
   My bibliography  Save this book chapter

Gaussian Beams and Inverse Boundary Spectral Problems

In: New Analytic and Geometric Methods in Inverse Problems

Author

Listed:
  • Alexander Katchalov

    (Steklov Mathematical Institute, RAN)

  • Matti Lassas

    (University of Helsinki, Department of Mathematics)

Abstract

In these lectures we consider inverse boundary spectral problems for elliptic operators on manifolds. This means the reconstruction of an unknown manifold and an elliptic operator on it from the knowledge of the boundary spectral data, i.e. the spectrum of the operator and normal derivatives of the normalized eigenfunctions on the boundary. Before we formulate and solve this problem in exact terms, we explain why the manifolds appear in the study of the inverse problems.

Suggested Citation

  • Alexander Katchalov & Matti Lassas, 2004. "Gaussian Beams and Inverse Boundary Spectral Problems," Springer Books, in: Kenrick Bingham & Yaroslav V. Kurylev & Erkki Somersalo (ed.), New Analytic and Geometric Methods in Inverse Problems, pages 127-163, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-08966-8_4
    DOI: 10.1007/978-3-662-08966-8_4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-662-08966-8_4. 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.