Ultrafunctions and Applications
Analysis of PDEs
2014-05-19 v1
Abstract
This paper deals with a new kind of generalized functions, called "ultrafunctions" which have been introduced recently and developed in some previous works. 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. Some of these applications will be presented in the second part of this paper.
Cite
@article{arxiv.1405.4152,
title = {Ultrafunctions and Applications},
author = {Vieri Benci and Lorenzo Luperi Baglini},
journal= {arXiv preprint arXiv:1405.4152},
year = {2014}
}