Geodesic
Regularity theory in Colombeau algebras
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This paper introduces and discusses various notions of regularity of solutions to partial differential equations in Colombeau algebras. The aim is to suggest a number of approaches that allow to extend the regularity theory to nonlinear equations. A relation with the notion of delta waves is observed.
Keywords: Colombeau algebras, partial differential equations, regularity of solutions 
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     author = {M. Oberguggenberger},
     title = {Regularity theory in {Colombeau} algebras},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {147 - 162},
     publisher = {mathdoc},
     volume = {31},
     number = {1},
     year = {2006},
     zbl = {1121.46038},
     url = {http://geodesic.mathdoc.fr/item/BASS_2006_31_1_a11/}
}
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M. Oberguggenberger. Regularity theory in Colombeau algebras. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006) no. 1. http://geodesic.mathdoc.fr/item/BASS_2006_31_1_a11/