IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-015-9448-6_5.html
   My bibliography  Save this book chapter

Wave factorization

In: Wave Factorization of Elliptic Symbols: Theory and Applications

Author

Listed:
  • Vladimir B. Vasil’ev

    (Novgorod State University, Department of Mathematical Analysis)

Abstract

It was clearly shown in the previous section that, in the theory of boundary value problems for elliptic pseudodifferential equations which was constructed by M.I.Vishik and G.I.Eskin, the key role was played the symbol factorization of elliptic pseudodifferential operators on one of variables with the other variables fixed. Depending on factorization index one needs to consider the different boundary value problems reflecting the singularities of appeared situation. When studying the pseudodifferential equation in cone (angle) it proves that analogous role will play the wave factorization related to exit into compex domain with respect to all variables at once. Such factorization permits one to use a multivariable variant of the Wiener-Hopf method and to obtain for a pseudodifferential operator in angle the same solvability picture which we had in the half-space case. This approach has been applied to some classes of differential operators too, but as of now it has not been useful. In this section we will introduce the concept of wave factorization for symbols of pseudodifferential operators and we will verify that the set of symbols which admit the wave factorization is large enough.

Suggested Citation

  • Vladimir B. Vasil’ev, 2000. "Wave factorization," Springer Books, in: Wave Factorization of Elliptic Symbols: Theory and Applications, chapter 0, pages 27-36, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-9448-6_5
    DOI: 10.1007/978-94-015-9448-6_5
    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:978-94-015-9448-6_5. 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.