Speaker
Stefani, Giorgio
(Università di Padova)
Description
We provide an introduction to the distributional theory of fractional spaces. In the first part of the talk, we define the Riesz fractional gradient, explore its key properties, and introduce the distributional fractional Sobolev and $BV$ spaces along with their main features. In the second part, we discuss the properties of fractional variation and survey recent developments, including the fractional analog of De Giorgi’s Blow-up Theorem.
