Geodesic completeness for Sobolev H s-metrics on the diffeomorphism group of the circle
- authored by
- Joachim Escher, Boris Kolev
- Abstract
We prove that the weak Riemannian metric induced by the fractional Sobolev norm Hs on the diffeomorphism group of the circle is geodesically complete, provided that s > 3/2.
- Organisation(s)
-
Institute of Applied Mathematics
- External Organisation(s)
-
Universite d'Aix-Marseille
- Type
- Article
- Journal
- Journal of Evolution Equations
- Volume
- 14
- Pages
- 949-968
- No. of pages
- 20
- ISSN
- 1424-3199
- Publication date
- 12.2014
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.1007/s00028-014-0245-3 (Access:
Unknown)
