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Type: Artigo de periódico
Title: Finite-difference Partial Differential Equations In Normed And Locally Convex Spaces
Author: Colombeau J.F.
Paques O.W.
Abstract: We prove existence of C∞-solutions u of equations Du = f, when D is a finite-difference linear partial differential operator with constant coefficients and f is a C∞-function defined on a locally convex space, which extends a classical result of Ehrenpreis in the finite dimensional case. The main difficulty in this extension came from the Paley-Wiener-Schwartz theorem in infinite dimension. We also obtain new results for some convolution equations in H(E) when E is a complex space. © 1982 North-Holland Publishing Company.
Rights: fechado
Identifier DOI: 10.1016/S0304-0208(08)72535-0
Date Issue: 1982
Appears in Collections:Unicamp - Artigos e Outros Documentos

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