Paradigmatic well posedness in some generalized characteristic Cauchy problems
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.
Year of publication: |
2012-01
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Authors: | Allaud, Emmanuel ; Delcroix, Antoine ; Dévoué, Victor ; Marti, Jean-André ; Vernaeve, Hans |
Institutions: | Centre d'Études et de Recherche en Économie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA), Université des Antilles et de la Guyane |
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