Weak Lower Semicontinuity by Means of Anisotropic Parametrized Measures
Result description
It is well known that besides oscillations, sequences bounded only in L1 can also develop concentrations, and if the latter occurs, we can at most hope for weak∗ convergence in the sense of measures. Here we derive a new tool to handle mutual interferences of an oscillating and concentrating sequence with another weakly converging sequence. We introduce a couple of explicit examples showing a variety of possible kinds of behavior and outline some applications in Sobolev spaces.
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The result's identifiers
Result code in IS VaVaI
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Alternative languages
Result language
angličtina
Original language name
Weak Lower Semicontinuity by Means of Anisotropic Parametrized Measures
Original language description
It is well known that besides oscillations, sequences bounded only in L1 can also develop concentrations, and if the latter occurs, we can at most hope for weak∗ convergence in the sense of measures. Here we derive a new tool to handle mutual interferences of an oscillating and concentrating sequence with another weakly converging sequence. We introduce a couple of explicit examples showing a variety of possible kinds of behavior and outline some applications in Sobolev spaces.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Trends in Applications of Mathematics to Mechanics
ISBN
978-3-319-75939-5
Number of pages of the result
29
Pages from-to
23-51
Number of pages of the book
373
Publisher name
Springer International Publishing
Place of publication
Cham
UT code for WoS chapter
000449847500003
Basic information
Result type
C - Chapter in a specialist book
OECD FORD
Applied mathematics
Year of implementation
2018