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On convergence of gradient-dependent integrands
- 1.0090007 - ÚTIA 2008 RIV CZ eng J - Journal Article
Kružík, Martin
On convergence of gradient-dependent integrands.
[Ke konvergenci integrandů závislých na gradientu.]
Applications of Mathematics. Roč. 52, č. 6 (2007), s. 529-543. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA AV ČR IAA1075402
Institutional research plan: CEZ:AV0Z10750506
Keywords : Bounded sequences of gradients * concentrations * oscillations * quasiconvexity * weak convergence
Subject RIV: BA - General Mathematics
We study modes of convergence of integrands under the condition that the integral averages converge as numbers. We give sufficient and necessary condition for weak L1 convergence of determinants.
Studujeme různé typy konvergence integrandů za podmínky, ze integrální průmery konvergují. Formulujeme nutné a postačující podmínky pro slabou L1 konvergenci integrandů.
Permanent Link: http://hdl.handle.net/11104/0151035
Number of the records: 1