Nonconcentrating generalized Young functionals

Tomáš Roubíček

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 1, page 91-99
  • ISSN: 0010-2628

Abstract

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The Young measures, used widely for relaxation of various optimization problems, can be naturally understood as certain functionals on suitable space of integrands, which allows readily various generalizations. The paper is focused on such functionals which can be attained by sequences whose “energy” (= p th power) does not concentrate in the sense that it is relatively weakly compact in L 1 ( Ω ) . Straightforward applications to coercive optimization problems are briefly outlined.

How to cite

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Roubíček, Tomáš. "Nonconcentrating generalized Young functionals." Commentationes Mathematicae Universitatis Carolinae 38.1 (1997): 91-99. <http://eudml.org/doc/248113>.

@article{Roubíček1997,
abstract = {The Young measures, used widely for relaxation of various optimization problems, can be naturally understood as certain functionals on suitable space of integrands, which allows readily various generalizations. The paper is focused on such functionals which can be attained by sequences whose “energy” (=$p$th power) does not concentrate in the sense that it is relatively weakly compact in $L^1(\Omega )$. Straightforward applications to coercive optimization problems are briefly outlined.},
author = {Roubíček, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Young measures; generalizations; relative $L^1$-weak compactness; coercive optimization problems; nonconcentration of energy; Young measures; generalizations; relative -weak compactness; coercive optimization problems; nonconcentration of energy},
language = {eng},
number = {1},
pages = {91-99},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Nonconcentrating generalized Young functionals},
url = {http://eudml.org/doc/248113},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Roubíček, Tomáš
TI - Nonconcentrating generalized Young functionals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 1
SP - 91
EP - 99
AB - The Young measures, used widely for relaxation of various optimization problems, can be naturally understood as certain functionals on suitable space of integrands, which allows readily various generalizations. The paper is focused on such functionals which can be attained by sequences whose “energy” (=$p$th power) does not concentrate in the sense that it is relatively weakly compact in $L^1(\Omega )$. Straightforward applications to coercive optimization problems are briefly outlined.
LA - eng
KW - Young measures; generalizations; relative $L^1$-weak compactness; coercive optimization problems; nonconcentration of energy; Young measures; generalizations; relative -weak compactness; coercive optimization problems; nonconcentration of energy
UR - http://eudml.org/doc/248113
ER -

References

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