In this note we prove compactness for the Cahn-Hilliard functional without assuming coercivity of the multi-well potential.
Mots clés : singular perturbations, gamma-convergence, compactness
@article{COCV_2014__20_2_517_0, author = {Leoni, Giovanni}, title = {A remark on the compactness for the {Cahn-Hilliard} functional}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {517--523}, publisher = {EDP-Sciences}, volume = {20}, number = {2}, year = {2014}, doi = {10.1051/cocv/2013073}, mrnumber = {3264214}, zbl = {1286.49014}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv/2013073/} }
TY - JOUR AU - Leoni, Giovanni TI - A remark on the compactness for the Cahn-Hilliard functional JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2014 SP - 517 EP - 523 VL - 20 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2013073/ DO - 10.1051/cocv/2013073 LA - en ID - COCV_2014__20_2_517_0 ER -
%0 Journal Article %A Leoni, Giovanni %T A remark on the compactness for the Cahn-Hilliard functional %J ESAIM: Control, Optimisation and Calculus of Variations %D 2014 %P 517-523 %V 20 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2013073/ %R 10.1051/cocv/2013073 %G en %F COCV_2014__20_2_517_0
Leoni, Giovanni. A remark on the compactness for the Cahn-Hilliard functional. ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 2, pp. 517-523. doi : 10.1051/cocv/2013073. http://www.numdam.org/articles/10.1051/cocv/2013073/
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