Real projections of non-standard functions, part II

2 febbraio 2016
2 febbraio 2016
Contatti: 
Staff Dipartimento di Matematica

Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari
Ore 14:30 

Relatore:

  • Emanuele Bottazzi (Dottorando Università degli Studi di Trento)

Abstract:
In non-standard analysis, there are many ways to coherently project a non-standard function to a standard real function. The most famous among those projections is the standard part. This procedure maps non-standard functions satisfying a regularity hypothesis called S-continuity to real continuous functions. However, it is also possible to project less regular non-standard functions to distributions. If time allows, we will show an application of this projection to the theory of partial differential equations.

 

Referente: Stefano Baratella