On formulae decoupling the total variation of BV functions

Augusto C. Ponce, Daniel Spector*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

10 引文 斯高帕斯(Scopus)

摘要

In this paper we prove several formulae that enable one to capture the singular portion of the measure derivative of a function of bounded variation as a limit of non-local functionals. One special case shows that rescalings of the fractional Laplacian of a function u∈SBV converge strictly to the singular portion of Du.

原文英語
頁(從 - 到)241-257
頁數17
期刊Nonlinear Analysis, Theory, Methods and Applications
154
DOIs
出版狀態已發佈 - 2017 五月 1
對外發佈

ASJC Scopus subject areas

  • 分析
  • 應用數學

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