Well posedness in multiparametric alegbras

Antoine Delcroix, Victor Dévoué and Jean-André Marti
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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

No 2010-06, Documents de Travail from 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

Pages: 35 pages
Date: 2010-09
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