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Approximated cauchy problem for linear, first order, overdetermined systems

โœ Scribed by Claudio Rea


Book ID
112745635
Publisher
Springer
Year
1979
Tongue
English
Weight
772 KB
Volume
122
Category
Article
ISSN
0373-3114

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Cauchyโ€“Dirichlet Problem for First Order
โœ Bernard Dacorogna; Paolo Marcellini ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 582 KB

Let 0/R n be open, u : 0 ร„ R m and thus the gradient matrix Du # R m\_n . We let E/R m\_n be compact and denote by RcoE and PcoE the rank one convex and polyconvex hull of E, respectively. We show that if RcoE=PcoE (and two other hypotheses, named the segment property and the extreme points property