Sobolev-Slobodeckij Spaces and Interpolation Theory
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 - Aula Seminari 1
- Candidato al titolo di dottore di ricerca in Matematica: Alberto Maione
- Supervisor: Augusto Visintin
Fractional Spaces and Fractional Operators are studied in literature in according to their mathematical interest and their physical applications.
In this talk, following the texts of Lunardi, Tartar, Bergh and Löfstrom, I will introduce a different characterization of these spaces dealing with the well known Interpolation Theory. I will in particular focus on the Real Interpolation Methods and their connections with Fractional Spaces.
The seminar corresponds to the first year Ph.D. exam of the course “Partial Differential Equations” of Prof. Visintin.