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An existence theorem for an analytic first order PDE in the framework of Colombeau's theory

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Abstract

We study the existence of a holomorphic generalized solution u of the PDE[GRAPHICS]where f is a given holomorphic generalized function and (alpha (1),...alpha (m)) is an element of C-m\{0}.

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holomorphic generalized functions, strictly pseudoconvex open set, generalized numbers

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English

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Monatshefte Fur Mathematik. Vienna: Springer-verlag Wien, v. 134, n. 1, p. 9-17, 2001.

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Faculdade de Engenharia
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Campus: Ilha Solteira


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