%0 Journal Article %A Liu, Hanbing %A Wang, Gengsheng %T Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2021 %V 27 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2021028/ %R 10.1051/cocv/2021028 %G en %F COCV_2021__27_1_A26_0