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- W4300999725 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." @default.
- W4300999725 created "2022-10-04" @default.
- W4300999725 creator A5028989501 @default.
- W4300999725 date "2016-02-21" @default.
- W4300999725 modified "2023-10-16" @default.
- W4300999725 title "Regularity of Maps between Sobolev Spaces" @default.
- W4300999725 doi "https://doi.org/10.48550/arxiv.1602.06558" @default.
- W4300999725 hasPublicationYear "2016" @default.
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