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DC Field | Value | Language |
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dc.contributor.author | Bruveris, M | - |
dc.date.accessioned | 2016-06-16T12:04:01Z | - |
dc.date.available | 2016-06-16T12:04:01Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | arXiv, (2016) | en_US |
dc.identifier.uri | http://arxiv.org/abs/1602.06558v1 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/12806 | - |
dc.description.abstract | Let $F : H^q \to H^q$ be a $C^k$-map between Sobolev spaces, either on $\mathbb R^d$ or on a compact manifold. We show that equivariance of $F$ under the diffeomorphism group allows to trade regularity of $F$ as a nonlinear map for regularity in the image space: for $0 \leq l \leq k$, the map $F: H^{q+l} \to H^{q+l}$ is well-defined and of class $C^{k-l}$. This result is used to study the regularity of the geodesic boundary value problem for Sobolev metrics on the diffeomorphism group and the space of curves. | en_US |
dc.language.iso | en | en_US |
dc.publisher | arXiv | en_US |
dc.title | Regularity of maps between sobolev spaces | en_US |
dc.type | Article | en_US |
pubs.notes | 13 pages | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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Fulltext.pdf | 206.77 kB | Adobe PDF | View/Open |
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