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The Cauchy problem for a nonlinear first order partial differential equation

✍ Scribed by Wendell H Fleming


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
713 KB
Volume
5
Category
Article
ISSN
0022-0396

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Cauchy–Dirichlet Problem for First Order
✍ Bernard Dacorogna; Paolo Marcellini πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 582 KB

Let 0/R n be open, u : 0 Γ„ 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