Geodesic
Regularity theory in Colombeau algebras
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006), p. 147 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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.
DOI : 10.2298/BMAT0631148O
Classification : 35D05 35L60 46F30
Keywords: Colombeau algebras, partial differential equations, regularity of solutions 
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     title = {Regularity theory in {Colombeau} algebras},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {147 },
     year = {2006},
     volume = {31},
     doi = {10.2298/BMAT0631148O},
     zbl = {1121.46038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631148O/}
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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), p. 147 . doi: 10.2298/BMAT0631148O

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