Matches in SemOpenAlex for { <https://semopenalex.org/work/W57795802> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W57795802 endingPage "282" @default.
- W57795802 startingPage "220" @default.
- W57795802 abstract "A function of bounded variation of one variable can be characterized as an integrable function whose derivative in the sense of distributions is a signed measure with finite total variation. This chapter is directed to the multivariate analog of these functions, namely the class of L1functions whose partial derivatives are measures in the sense of distributions. Just as absolutely continuous functions form a subclass of BV functions, so it is that Sobolev functions are contained within the class of BV functions of several variables. While functions of bounded variation of one variable have a relatively simple structure that is easy to expose, the multivariate theory produces a rich and beautiful structure that draws heavily from geometric measure theory. An interesting and important aspect of the theory is the analysis of sets whose characteristic functions are BV (called sets of finite perimeter). These sets have applications in a variety of settings because of their generality and utility. For example, they include the class of Lipschitz domains and the fact that the Gauss-Green theorem is valid for them underscores their usefulness. One of our main objectives is to establish Poincaré-type inequalities for functions of bounded variation in a context similar to that developed in Chapter 4 for Sobolev functions. This will require an analysis of the structure of BV functions including the notion of trace on the boundary of an open set." @default.
- W57795802 created "2016-06-24" @default.
- W57795802 creator A5083069751 @default.
- W57795802 date "1989-01-01" @default.
- W57795802 modified "2023-09-23" @default.
- W57795802 title "Functions of Bounded Variation" @default.
- W57795802 doi "https://doi.org/10.1007/978-1-4612-1015-3_5" @default.
- W57795802 hasPublicationYear "1989" @default.
- W57795802 type Work @default.
- W57795802 sameAs 57795802 @default.
- W57795802 citedByCount "6" @default.
- W57795802 countsByYear W577958022012 @default.
- W57795802 countsByYear W577958022017 @default.
- W57795802 countsByYear W577958022020 @default.
- W57795802 countsByYear W577958022023 @default.
- W57795802 crossrefType "book-chapter" @default.
- W57795802 hasAuthorship W57795802A5083069751 @default.
- W57795802 hasConcept C118615104 @default.
- W57795802 hasConcept C134306372 @default.
- W57795802 hasConcept C202444582 @default.
- W57795802 hasConcept C22324862 @default.
- W57795802 hasConcept C2780009758 @default.
- W57795802 hasConcept C27851653 @default.
- W57795802 hasConcept C33923547 @default.
- W57795802 hasConcept C34388435 @default.
- W57795802 hasConcept C41008148 @default.
- W57795802 hasConcept C77088390 @default.
- W57795802 hasConcept C90377204 @default.
- W57795802 hasConcept C92928283 @default.
- W57795802 hasConcept C99730327 @default.
- W57795802 hasConceptScore W57795802C118615104 @default.
- W57795802 hasConceptScore W57795802C134306372 @default.
- W57795802 hasConceptScore W57795802C202444582 @default.
- W57795802 hasConceptScore W57795802C22324862 @default.
- W57795802 hasConceptScore W57795802C2780009758 @default.
- W57795802 hasConceptScore W57795802C27851653 @default.
- W57795802 hasConceptScore W57795802C33923547 @default.
- W57795802 hasConceptScore W57795802C34388435 @default.
- W57795802 hasConceptScore W57795802C41008148 @default.
- W57795802 hasConceptScore W57795802C77088390 @default.
- W57795802 hasConceptScore W57795802C90377204 @default.
- W57795802 hasConceptScore W57795802C92928283 @default.
- W57795802 hasConceptScore W57795802C99730327 @default.
- W57795802 hasLocation W577958021 @default.
- W57795802 hasOpenAccess W57795802 @default.
- W57795802 hasPrimaryLocation W577958021 @default.
- W57795802 hasRelatedWork W1995136338 @default.
- W57795802 hasRelatedWork W2071285427 @default.
- W57795802 hasRelatedWork W2072973355 @default.
- W57795802 hasRelatedWork W2079672790 @default.
- W57795802 hasRelatedWork W2471195550 @default.
- W57795802 hasRelatedWork W2743214920 @default.
- W57795802 hasRelatedWork W2794789869 @default.
- W57795802 hasRelatedWork W2946123858 @default.
- W57795802 hasRelatedWork W4210309333 @default.
- W57795802 hasRelatedWork W1525473232 @default.
- W57795802 isParatext "false" @default.
- W57795802 isRetracted "false" @default.
- W57795802 magId "57795802" @default.
- W57795802 workType "book-chapter" @default.