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Paradigmatic well posedness in some generalized characteristic Cauchy problems

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Author Info

  • 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)

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    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.

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    File URL: http://www2.univ-ag.fr/RePEc/DT/DT2012-01_Allaud_al.pdf
    File Function: First version, 2012
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    Bibliographic Info

    Paper provided by CEREGMIA, Université des Antilles et de la Guyane in its series Documents de Travail with number 2012-01.

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    Length: 10 pages
    Date of creation: Jan 2012
    Date of revision:
    Handle: RePEc:crg:wpaper:dt2012-01

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