Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/15764
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bauer, M | - |
dc.contributor.author | Bruveris, M | - |
dc.contributor.author | Kolev, B | - |
dc.date.accessioned | 2018-02-01T14:19:44Z | - |
dc.date.available | 2018-02-01T14:19:44Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Calculus of Variations and Partial Differential Equations, 2018, 57(1):27 (24 pp.) | en_US |
dc.identifier.issn | 0944-2669 | - |
dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/15764 | - |
dc.identifier.uri | https://arxiv.org/abs/1703.03323v1 | - |
dc.description.abstract | Motivated by applications in the field of shape analysis, we study reparametrization invariant, fractional order Sobolev-type metrics on the space of smooth regular curves Imm(S1 , R π ) and on its Sobolev completions β π (S1 , R π ). We prove local well-posedness of the geodesic equations both on the Banach manifold β π (S1 , R π ) and on the FrΒ΄echetmanifold Imm(S1 , R π ) provided the order of the metric is greater or equal to one. In addition we show that the π»π -metric induces a strong Riemannian metric on the Banach manifold β π (S1 , R π ) of the same order π , provided π > 3 2 . These investigations can be also interpreted as a generalization of the analysis for right invariant metrics on the diffeomorphism group. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer-Verlag | en_US |
dc.subject | Sobolev metrics of fractional order | en_US |
dc.title | Fractional Sobolev Metrics on Spaces of Immersed Curves | en_US |
dc.type | Article | en_US |
dc.identifier.doi | https://doi.org/10.1007/s00526-018-1300-7 | - |
dc.relation.isPartOf | Calculus of Variations and Partial Differential Equations | - |
pubs.publication-status | Published | - |
dc.identifier.eissn | 1432-0835 | - |
Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 467.38 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.