Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the -limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.
Keywords: Young measures, homogenization
@article{COCV_2006__12_1_35_0, author = {Hafsa, Omar Anza and Mandallena, Jean-Philippe and Michaille, G\'erard}, title = {Homogenization of periodic nonconvex integral functionals in terms of {Young} measures}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {35--51}, publisher = {EDP-Sciences}, volume = {12}, number = {1}, year = {2006}, doi = {10.1051/cocv:2005031}, mrnumber = {2192067}, zbl = {1107.49013}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2005031/} }
TY - JOUR AU - Hafsa, Omar Anza AU - Mandallena, Jean-Philippe AU - Michaille, Gérard TI - Homogenization of periodic nonconvex integral functionals in terms of Young measures JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2006 SP - 35 EP - 51 VL - 12 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2005031/ DO - 10.1051/cocv:2005031 LA - en ID - COCV_2006__12_1_35_0 ER -
%0 Journal Article %A Hafsa, Omar Anza %A Mandallena, Jean-Philippe %A Michaille, Gérard %T Homogenization of periodic nonconvex integral functionals in terms of Young measures %J ESAIM: Control, Optimisation and Calculus of Variations %D 2006 %P 35-51 %V 12 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2005031/ %R 10.1051/cocv:2005031 %G en %F COCV_2006__12_1_35_0
Hafsa, Omar Anza; Mandallena, Jean-Philippe; Michaille, Gérard. Homogenization of periodic nonconvex integral functionals in terms of Young measures. ESAIM: Control, Optimisation and Calculus of Variations, Volume 12 (2006) no. 1, pp. 35-51. doi : 10.1051/cocv:2005031. http://www.numdam.org/articles/10.1051/cocv:2005031/
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