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On the -Neumann problem for generalized functions
Authors:Jorge Aragona  JFrançois Colombeau
Institution:Instituto de Matemática e Estatística, Universidade de Sâo Paulo, U.S.P., Sâo Paulo, Brazil;UER de Mathématiques et Informatique, Université de Bordeaux I, 351, Cours de la Libération, 33405 Talence, France
Abstract:Using the new theory of generalized functions developed by one of the authors the ? equation in Cn is studied. In particular it is proven that if G is any generalized function on C (in the above sense) then there is a generalized function S on C such that ?S?z? = G. Several other results are proven valid in polydiscs of Cn, for which differential forms whose coefficients are generalized functions are introduced.
Keywords:
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