Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300984914> ?p ?o ?g. }
Showing items 1 to 47 of
47
with 100 items per page.
- W4300984914 abstract "This paper is devoted to the study of flows associated to non-smooth vector fields. We prove the well-posedness of regular Lagrangian flows associated to vector fields $mathbf{B}=(mathbf{B}^1,...,mathbf{B}^d)in L^1(mathbb{R}_+;L^1(mathbb{R}^d)+L^infty(mathbb{R}^d))$ satisfying $ mathbf{B}^i=sum_{j=1}^{m}mathbf{K}_j^i*b_j,$ $b_jin L^1(mathbb{R}_+,BV(mathbb{R}^d))$ and $operatorname{div}(mathbf{B})in L^1(mathbb{R}_+;L^infty(mathbb{R}^d))$ for $d,mgeq 2$, where $(mathbf{K}_j^i)_{i,j}$ are singular kernels in $mathbb{R}^d$. Moreover, we also show that there exist an autonomous vector-field $mathbf{B}in L^1(mathbb{R}^2)+L^infty(mathbb{R}^2)$ and singular kernels $(mathbf{K}_j^i)_{i,j}$, singular Radon measures $mu_{ijk}$ in $mathbb{R}^2$ satisfying $partial_{x_k} mathbf{B}^i=sum_{j=1}^{m}mathbf{K}_j^istarmu_{ijk}$ in distributional sense for some $mgeq 2$ and for $k,i=1,2$ such that regular Lagrangian flows associated to vector field $mathbf{B}$ are not unique." @default.
- W4300984914 created "2022-10-04" @default.
- W4300984914 creator A5075514322 @default.
- W4300984914 date "2018-05-03" @default.
- W4300984914 modified "2023-09-28" @default.
- W4300984914 title "Quantitative estimates for regular Lagrangian flows with $BV$ vector fields" @default.
- W4300984914 doi "https://doi.org/10.48550/arxiv.1805.01182" @default.
- W4300984914 hasPublicationYear "2018" @default.
- W4300984914 type Work @default.
- W4300984914 citedByCount "0" @default.
- W4300984914 crossrefType "posted-content" @default.
- W4300984914 hasAuthorship W4300984914A5075514322 @default.
- W4300984914 hasBestOaLocation W43009849141 @default.
- W4300984914 hasConcept C114614502 @default.
- W4300984914 hasConcept C121332964 @default.
- W4300984914 hasConcept C202444582 @default.
- W4300984914 hasConcept C33923547 @default.
- W4300984914 hasConcept C37914503 @default.
- W4300984914 hasConcept C53469067 @default.
- W4300984914 hasConcept C57879066 @default.
- W4300984914 hasConcept C91188154 @default.
- W4300984914 hasConcept C9652623 @default.
- W4300984914 hasConceptScore W4300984914C114614502 @default.
- W4300984914 hasConceptScore W4300984914C121332964 @default.
- W4300984914 hasConceptScore W4300984914C202444582 @default.
- W4300984914 hasConceptScore W4300984914C33923547 @default.
- W4300984914 hasConceptScore W4300984914C37914503 @default.
- W4300984914 hasConceptScore W4300984914C53469067 @default.
- W4300984914 hasConceptScore W4300984914C57879066 @default.
- W4300984914 hasConceptScore W4300984914C91188154 @default.
- W4300984914 hasConceptScore W4300984914C9652623 @default.
- W4300984914 hasLocation W43009849141 @default.
- W4300984914 hasOpenAccess W4300984914 @default.
- W4300984914 hasPrimaryLocation W43009849141 @default.
- W4300984914 hasRelatedWork W1978042415 @default.
- W4300984914 hasRelatedWork W2029774331 @default.
- W4300984914 hasRelatedWork W2047377293 @default.
- W4300984914 hasRelatedWork W2048936356 @default.
- W4300984914 hasRelatedWork W2061263259 @default.
- W4300984914 hasRelatedWork W2080201226 @default.
- W4300984914 hasRelatedWork W2084784054 @default.
- W4300984914 hasRelatedWork W2085754142 @default.
- W4300984914 hasRelatedWork W2107982376 @default.
- W4300984914 hasRelatedWork W2808925215 @default.
- W4300984914 isParatext "false" @default.
- W4300984914 isRetracted "false" @default.
- W4300984914 workType "article" @default.