How smooth is almost every function in a Sobolev space

By Aurélia Fraysse, Stéphane Jaffard. 2006

55 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fc0038f76aa8ada06869796aa700dbcfe784c27e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Lucio Galeati
2. Massimiliano Gubinelli
3. Samy Tindel

In Geometry and Topology

1. Massimiliano Gubinelli

In Mathematical Physics

1. Lucio Galeati
2. Massimiliano Gubinelli
3. Martin Hairer
4. Samy Tindel
5. Peter K. Friz
6. Nicolas Perkowski
7. Khoa Le
8. Antoine Lejay

Citations in the corpus

• Noiseless regularisation by noise (2020, background): “r to study the properties of generic functions belonging to spaces of suitable regularity. For instance, it was proved in [31] that almost every continuous function is nowhere dierentiable, while in [24,25] the multi-fractal nature of generic Sobolev functions was shown. Recently, prevalence has als”