On the Well-posedness of Some generalized Characteristic Cauchy Problems

Jean-André Marti; Victor Devoue; Antoine Delcroix; Allaud Emmanuel; Vernaeve Hans

doi:10.1051/mmnp/201611207

On the Well-posedness of Some generalized Characteristic Cauchy Problems

Jean-André Marti ¹ Victor Devoue ¹ Antoine Delcroix ² Allaud Emmanuel ¹ Vernaeve Hans ³

1 CEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée

2 CRREF - Centre de recherches et de ressources en éducation et formation

3 Ghent University

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

Keywords : transport equation regularization of data regularisation of problems nonlinear problems nonlinear generalized functions distributions characteristic problems

Type de document :

Article dans une revue

Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11 (2), pp.89-99. 〈10.1051/mmnp/201611207〉

Domaine :

Mathématiques [math] / Analyse fonctionnelle [math.FA]

Liste complète des métadonnées

https://hal.univ-antilles.fr/hal-01529519
Contributeur : Antoine Delcroix <>
Soumis le : mardi 30 mai 2017 - 23:14:39
Dernière modification le : mardi 27 février 2018 - 01:32:56

On the Well-posedness of Some generalized Characteristic Cauchy Problems

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On the Well-posedness of Some generalized Characteristic Cauchy Problems

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