Details
| Original language | English |
|---|---|
| Pages (from-to) | 949-968 |
| Number of pages | 20 |
| Journal | Journal of Evolution Equations |
| Volume | 14 |
| Issue number | 4-5 |
| Early online date | 11 Jul 2014 |
| Publication status | Published - Dec 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.
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In: Journal of Evolution Equations, Vol. 14, No. 4-5, 12.2014, p. 949-968.
Research output: Contribution to journal › Article › Research › 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 -