On the -Neumann problem for generalized functions |
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Authors: | Jorge Aragona JFrançois Colombeau |
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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 |
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Abstract: | Using the new theory of generalized functions developed by one of the authors the equation in n is studied. In particular it is proven that if G is any generalized function on (in the above sense) then there is a generalized function S on such that . Several other results are proven valid in polydiscs of n, for which differential forms whose coefficients are generalized functions are introduced. |
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