On the Well-posedness of Some generalized Characteristic Cauchy Problems

Abstract : By means of convenient regularization 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 data given on a characteristic curve, we show existence and uniqueness of the solution
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Submitted on : Tuesday, May 30, 2017 - 11:14:39 PM
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Jean-André Marti, Victor Devoue, Antoine Delcroix, Allaud Emmanuel, Vernaeve Hans. On the Well-posedness of Some generalized Characteristic Cauchy Problems . Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11 (2), pp.89-99. ⟨10.1051/mmnp/201611207⟩. ⟨hal-01529519⟩

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