Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301479611> ?p ?o ?g. }
Showing items 1 to 45 of
45
with 100 items per page.
- W4301479611 abstract "We show ODE-closedness for a large class of Besov spaces $mathcal{B}^{n,alpha,p}(mathbb{R}^d,mathbb{R}^d)$, where $n geq 1,~alpha in (0,1],~p in [1,infty]$. ODE-closedness means that pointwise time-dependent $mathcal{B}^{n,alpha,p}$-vector fields $u$ have unique flows $Phi_u in operatorname{Id} + mathcal{B}^{n,alpha,p}(mathbb{R}^d,mathbb{R}^d)$. The class of vector fields under consideration contains as a special case the class of Bochner integrable vector fields $L^1(I, mathcal{B}^{n,alpha,p}(mathbb{R}^d,mathbb{R}^d))$. In addition, for $n geq 2$ and $alpha < beta$, we show continuity of the flow mapping $L^1(I,mathcal{B}^{n,beta,p}(mathbb{R}^d,mathbb{R}^d)) rightarrow C(I,mathcal{B}^{n,alpha,p}(mathbb{R}^d,mathbb{R}^d)), ~ u mapsto Phi_u-operatorname{Id}$. We even get $gamma$-Holder continuity for any $gamma < beta - alpha$." @default.
- W4301479611 created "2022-10-05" @default.
- W4301479611 creator A5013207700 @default.
- W4301479611 date "2018-04-20" @default.
- W4301479611 modified "2023-10-18" @default.
- W4301479611 title "On time-dependent Besov vector fields and the regularity of their flows" @default.
- W4301479611 doi "https://doi.org/10.48550/arxiv.1804.07595" @default.
- W4301479611 hasPublicationYear "2018" @default.
- W4301479611 type Work @default.
- W4301479611 citedByCount "0" @default.
- W4301479611 crossrefType "posted-content" @default.
- W4301479611 hasAuthorship W4301479611A5013207700 @default.
- W4301479611 hasBestOaLocation W43014796111 @default.
- W4301479611 hasConcept C114614502 @default.
- W4301479611 hasConcept C121332964 @default.
- W4301479611 hasConcept C134306372 @default.
- W4301479611 hasConcept C2524010 @default.
- W4301479611 hasConcept C2777984123 @default.
- W4301479611 hasConcept C33923547 @default.
- W4301479611 hasConcept C34862557 @default.
- W4301479611 hasConcept C91188154 @default.
- W4301479611 hasConceptScore W4301479611C114614502 @default.
- W4301479611 hasConceptScore W4301479611C121332964 @default.
- W4301479611 hasConceptScore W4301479611C134306372 @default.
- W4301479611 hasConceptScore W4301479611C2524010 @default.
- W4301479611 hasConceptScore W4301479611C2777984123 @default.
- W4301479611 hasConceptScore W4301479611C33923547 @default.
- W4301479611 hasConceptScore W4301479611C34862557 @default.
- W4301479611 hasConceptScore W4301479611C91188154 @default.
- W4301479611 hasLocation W43014796111 @default.
- W4301479611 hasOpenAccess W4301479611 @default.
- W4301479611 hasPrimaryLocation W43014796111 @default.
- W4301479611 hasRelatedWork W1019557286 @default.
- W4301479611 hasRelatedWork W1985579457 @default.
- W4301479611 hasRelatedWork W2056351605 @default.
- W4301479611 hasRelatedWork W2168256183 @default.
- W4301479611 hasRelatedWork W2798980077 @default.
- W4301479611 hasRelatedWork W2963757251 @default.
- W4301479611 hasRelatedWork W3082092122 @default.
- W4301479611 hasRelatedWork W3125006395 @default.
- W4301479611 hasRelatedWork W4301479611 @default.
- W4301479611 hasRelatedWork W759769899 @default.
- W4301479611 isParatext "false" @default.
- W4301479611 isRetracted "false" @default.
- W4301479611 workType "article" @default.