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arXiv · 1406.4349

A generalization of Gauss' divergence theorem

Vieri Benci·Lorenzo Luperi Baglini
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Abstract

This paper is devoted to the proof Gauss' divergence theorem in the framework of "ultrafunctions". They are a new kind of generalized functions, which have been introduced recently [2] and developed in [4], [5] and [6]. Their peculiarity is that they are based on a non Archimedean field namely on a field which contains infinite and infinitesimal numbers. Ultrafunctions have been introduced to provide generalized solutions to equations which do not have any solutions not even among the distributions.

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Vieri Benci, Lorenzo Luperi Baglini. 2014-06-17. A generalization of Gauss' divergence theorem. https://arxiv.org/abs/1406.4349

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