Some new characterizations of Sobolev spaces

By Hoai-Minh Nguyen. 2006

98 citations recorded by the source corpus.

In this paper, we present some new characterizations of Sobolev spaces. Here is a typical result. Let g ∈ L p (R N ) ,1 <p< +∞; we prove that g ∈ W 1,p (R N ) if and only if

Subfields: Applied Mathematics, Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b51f48665df628c076911022f8d90f0b153c6f02

How researchers see this paper

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In Applied Mathematics

1. Hoai-Minh Nguyen
2. Jean Bourgain
3. Larry Guth
4. Jean Van Schaftingen
5. Jonathan Bennett
6. Ciprian Demeter
7. Nicola Gigli
8. Xiumin Du

In Computational Mechanics

1. Jean Bourgain
2. Yi Zhu
3. Jiahong Wu

In Control and Systems Engineering

1. Jean Bourgain
2. Hoai-Minh Nguyen
3. Jean Van Schaftingen

Citations in the corpus

• A new characterization of Sobolev spaces (2006, background): “Pour citer cet article : J. Bourgain, H.-M. Nguyen, C. R. Acad.”