Open AccessLeaf superposition property for integer rectifiable currents
Author(s) -
Luigi Ambrosio,
Gianluca Crippa,
Philippe G. LeFloch
Publication year - 2008
Publication title -
networks and heterogeneous media
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.732
H-Index - 34
eISSN - 1556-181X
pISSN - 1556-1801
DOI - 10.3934/nhm.2008.3.85
Subject(s) - superposition principle , integer (computer science) , bounded function , mathematics , class (philosophy) , property (philosophy) , boundary (topology) , mathematical analysis , pure mathematics , computer science , philosophy , epistemology , artificial intelligence , programming language
We consider the class of integer rectifiable currents without boundary in R satisfying a positivity condition. We establish that these currents can be written as a linear superposition of graphs of finitely many functions with bounded variation
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom