Generalized solutions of singular differential problems. Relationship with classical solutions

Abstract : We discuss various methods of regularization of singular differential problems. Their common point is that we use the flexibility of the theories of nonlinear generalized functions for adapting the regularization to the singularity of the problem. We particularly underline the relationship between the generalized solutions and those classical or distribution, when they exist, giving a general result for the case of the regularization of data.
Type de document :
Article dans une revue
Journal of Mathematical Analysis and applications, Elsevier, 2008, 353, pp.386-402. 〈https://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications〉. 〈10.1016/j.jmaa.2008.11.077〉
Liste complète des métadonnées

https://hal.univ-antilles.fr/hal-01529550
Contributeur : Antoine Delcroix <>
Soumis le : mercredi 31 mai 2017 - 04:12:12
Dernière modification le : mardi 6 mars 2018 - 15:00:02

Lien texte intégral

Identifiants

Collections

Citation

Antoine Delcroix, Victor Devoue, Jean-André Marti. Generalized solutions of singular differential problems. Relationship with classical solutions. Journal of Mathematical Analysis and applications, Elsevier, 2008, 353, pp.386-402. 〈https://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications〉. 〈10.1016/j.jmaa.2008.11.077〉. 〈hal-01529550〉

Partager

Métriques

Consultations de la notice

77