TITLE

Fractures and vector valued maps

AUTHOR(S)
Mucci, Domenico
PUB. DATE
April 2005
SOURCE
Calculus of Variations & Partial Differential Equations;Apr2005, Vol. 22 Issue 4, p391
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study a class of non smooth vector valued maps, defined onn-dimensional domains, which allow for fractures of any integer dimension lower thann. We extend some well known features about (n-1)-dimensional jumps ofSBVfunctions and 0-dimensional singularities, or cavitations, of the distributional determinant of Sobolev functions. Variational problems involving the size of the fractures of any dimension are then studied.
ACCESSION #
16176842

 

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