Data di Pubblicazione:
2016
Citazione:
A generalization of Gauss’ divergence theorem / V. Benci, L. Baglini (CONTEMPORARY MATHEMATICS). - In: Recent Advances in Partial Differential Equations and Applications / [a cura di] V.D. Radulescu, A. Sequeira, V.A. Solonnikov. - Prima edizione. - [s.l] : American Mathematical Society, 2016. - ISBN 9781470415211. - pp. 69-84 (( convegno International conference in honor of Hugo Beirao de Veiga's 70th birthday : February 17-21 tenutosi a Levico (TN Italy) nel 2014.
Abstract:
This paper is devoted to the proof Gauss' divegence theorem in the framework of "ultrafunctions". They are a new kind of generalized functions, which have been introduced recently by Benci in 2013 and developed by the authors. Their peculiarity is that they are based on a non-Archimedean field, namely on a field which contains infinite and infinitesimal numbers. Ultra functions have been introduced to provide generalized solutions to equations which do not have any solutions, not even among the distributions.
Tipologia IRIS:
03 - Contributo in volume
Elenco autori:
V. Benci, L. Baglini
Link alla scheda completa:
Titolo del libro:
Recent Advances in Partial Differential Equations and Applications