Matches in SemOpenAlex for { <https://semopenalex.org/work/W2888058321> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2888058321 endingPage "181" @default.
- W2888058321 startingPage "161" @default.
- W2888058321 abstract "In this paper, a new notion of fractional length of a smooth curve, which depends on a parameter $$sigma ,$$ is introduced that is analogous to the fractional perimeter functional of sets. It is shown that in an appropriate limit, the fractional length converges to the traditional notion of length up to a multiplicative constant. Since a curve that connects two points of minimal length must have zero curvature, the Euler–Lagrange equation associated with the fractional length is used to motivate a nonlocal notion of curvature for a curve. This is analogous to how the fractional perimeter has been used to define a nonlocal mean-curvature." @default.
- W2888058321 created "2018-08-31" @default.
- W2888058321 creator A5010301614 @default.
- W2888058321 date "2019-01-09" @default.
- W2888058321 modified "2023-09-24" @default.
- W2888058321 title "A Fractional Notion of Length and an Associated Nonlocal Curvature" @default.
- W2888058321 cites W1489458628 @default.
- W2888058321 cites W1540378308 @default.
- W2888058321 cites W1979946881 @default.
- W2888058321 cites W1998910501 @default.
- W2888058321 cites W2018102588 @default.
- W2888058321 cites W2028051090 @default.
- W2888058321 cites W2029705983 @default.
- W2888058321 cites W2036909749 @default.
- W2888058321 cites W2071113669 @default.
- W2888058321 cites W2185903700 @default.
- W2888058321 cites W2248496998 @default.
- W2888058321 cites W2287409203 @default.
- W2888058321 cites W2738684277 @default.
- W2888058321 cites W2962927893 @default.
- W2888058321 doi "https://doi.org/10.1007/s12220-018-00140-9" @default.
- W2888058321 hasPublicationYear "2019" @default.
- W2888058321 type Work @default.
- W2888058321 sameAs 2888058321 @default.
- W2888058321 citedByCount "2" @default.
- W2888058321 countsByYear W28880583212019 @default.
- W2888058321 countsByYear W28880583212023 @default.
- W2888058321 crossrefType "journal-article" @default.
- W2888058321 hasAuthorship W2888058321A5010301614 @default.
- W2888058321 hasBestOaLocation W28880583212 @default.
- W2888058321 hasConcept C102519508 @default.
- W2888058321 hasConcept C134306372 @default.
- W2888058321 hasConcept C192939610 @default.
- W2888058321 hasConcept C195065555 @default.
- W2888058321 hasConcept C202444582 @default.
- W2888058321 hasConcept C203024314 @default.
- W2888058321 hasConcept C2524010 @default.
- W2888058321 hasConcept C33923547 @default.
- W2888058321 hasConceptScore W2888058321C102519508 @default.
- W2888058321 hasConceptScore W2888058321C134306372 @default.
- W2888058321 hasConceptScore W2888058321C192939610 @default.
- W2888058321 hasConceptScore W2888058321C195065555 @default.
- W2888058321 hasConceptScore W2888058321C202444582 @default.
- W2888058321 hasConceptScore W2888058321C203024314 @default.
- W2888058321 hasConceptScore W2888058321C2524010 @default.
- W2888058321 hasConceptScore W2888058321C33923547 @default.
- W2888058321 hasIssue "1" @default.
- W2888058321 hasLocation W28880583211 @default.
- W2888058321 hasLocation W28880583212 @default.
- W2888058321 hasOpenAccess W2888058321 @default.
- W2888058321 hasPrimaryLocation W28880583211 @default.
- W2888058321 hasRelatedWork W135938839 @default.
- W2888058321 hasRelatedWork W1980446475 @default.
- W2888058321 hasRelatedWork W1987953097 @default.
- W2888058321 hasRelatedWork W2011634395 @default.
- W2888058321 hasRelatedWork W2032522751 @default.
- W2888058321 hasRelatedWork W2043268301 @default.
- W2888058321 hasRelatedWork W2050109994 @default.
- W2888058321 hasRelatedWork W2060092112 @default.
- W2888058321 hasRelatedWork W2990283033 @default.
- W2888058321 hasRelatedWork W3214410636 @default.
- W2888058321 hasVolume "30" @default.
- W2888058321 isParatext "false" @default.
- W2888058321 isRetracted "false" @default.
- W2888058321 magId "2888058321" @default.
- W2888058321 workType "article" @default.