Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 949-968 |
| Seitenumfang | 20 |
| Fachzeitschrift | Journal of Evolution Equations |
| Jahrgang | 14 |
| Ausgabenummer | 4-5 |
| Frühes Online-Datum | 11 Juli 2014 |
| Publikationsstatus | Veröffentlicht - Dez. 2014 |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Mathematik (sonstige)
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in: Journal of Evolution Equations, Jahrgang 14, Nr. 4-5, 12.2014, S. 949-968.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Geodesic completeness for Sobolev H s-metrics on the diffeomorphism group of the circle
AU - Escher, Joachim
AU - Kolev, Boris
N1 - Publisher Copyright: © 2014, Springer Basel. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2014/12
Y1 - 2014/12
N2 - 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.
AB - 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.
KW - 35Q53
KW - 58D05
UR - http://www.scopus.com/inward/record.url?scp=84939897000&partnerID=8YFLogxK
U2 - 10.1007/s00028-014-0245-3
DO - 10.1007/s00028-014-0245-3
M3 - Article
AN - SCOPUS:84939897000
VL - 14
SP - 949
EP - 968
JO - Journal of Evolution Equations
JF - Journal of Evolution Equations
SN - 1424-3199
IS - 4-5
ER -