A generalization of Gauss' divergence theorem
Analysis of PDEs
2015-03-10 v2
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.
Cite
@article{arxiv.1406.4349,
title = {A generalization of Gauss' divergence theorem},
author = {Vieri Benci and Lorenzo Luperi Baglini},
journal= {arXiv preprint arXiv:1406.4349},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1405.4152