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Well posedness in multiparametric alegbras

Author

Listed:
  • Antoine Delcroix

    (AOC, Université des Antilles et de la Guyane)

  • Victor Dévoué

    (CEREGMIA, Université des Antilles et de la Guyane)

  • Jean-André Marti

    (CEREGMIA, Université des Antilles et de la Guyane)

Abstract

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

Suggested Citation

  • Antoine Delcroix & Victor Dévoué & Jean-André Marti, 2010. "Well posedness in multiparametric alegbras," Documents de Travail 2010-06, CEREGMIA, Université des Antilles et de la Guyane.
  • Handle: RePEc:crg:wpaper:dt2010-06
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    File URL: http://www2.univ-ag.fr/RePEc/DT/DT2010-06_Delcroix_al.pdf
    File Function: First version, 2010
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