On the Regularity of the Composition of Diffeomorphisms

By H. Inci, Thomas Kappeler, P. Topalov. 2011

114 citations recorded by the source corpus.

For $M$ a closed manifold or the Euclidean space $\mathbb{R}^n$, the authors present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s > \frac{1}{2}\dim M 1$.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d545be6172b783a1d25268b7f528093f59734412

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. Pierre Baldi
2. Martins Bruveris
3. Franccois-Xavier Vialard

In Geometry and Topology

1. Martins Bruveris
2. Franccois-Xavier Vialard

In Mathematical Physics

1. Pierre Baldi
2. Martins Bruveris
3. Franccois-Xavier Vialard
4. Riccardo Montalto

Citations in the corpus

• Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type (2012, background): “For these classical estimates see also, for example: [23], Appendix G; [18], Appendix; [9], section 2; [19].”
• On Completeness of Groups of Diffeomorphisms (2014, background): “3] for the diffeomorphism group of a compact manifold; a proof for D s ( R d ) can be found in [IKT13].”