IDEAS home Printed from https://ideas.repec.org/p/crg/wpaper/dt2012-01.html
   My bibliography  Save this paper

Paradigmatic well posedness in some generalized characteristic Cauchy problems

Author

Listed:
  • Emmanuel Allaud

    (CEREGMIA, Université des Antilles et de la Guyane, France)

  • Antoine Delcroix

    (CRREF, IUFM de Guadeloupe, France)

  • Victor Dévoué

    (CEREGMIA, Université des Antilles et de la Guyane, France)

  • Jean-André Marti

    (CEREGMIA, Université des Antilles et de la Guyane, France)

  • Hans Vernaeve

    (Department of Mathematics, Ghent University, Belgium)

Abstract

By means of convenient regularization for an ill posed Cauchy problem, we deï¬ ne an associated generalized problem and discuss the conditions for the solvability of it. To illustrate this, starting from the semilinear unidirectional wave equation with data given on a characteristic curve, we show existence and uniqueness of the solution.

Suggested Citation

  • Emmanuel Allaud & Antoine Delcroix & Victor Dévoué & Jean-André Marti & Hans Vernaeve, 2012. "Paradigmatic well posedness in some generalized characteristic Cauchy problems," Documents de Travail 2012-01, CEREGMIA, Université des Antilles et de la Guyane.
  • Handle: RePEc:crg:wpaper:dt2012-01
    as

    Download full text from publisher

    File URL: http://www2.univ-ag.fr/RePEc/DT/DT2012-01_Allaud_al.pdf
    File Function: First version, 2012
    Download Restriction: no

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:crg:wpaper:dt2012-01. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Janis Hilaricus). General contact details of provider: http://edirc.repec.org/data/ceuagmq.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.