Regularity of multipliers and optimal solutions in second-order optimality conditions for semilinear parabolic optimal control problems

Thời gian: 9am-11am sáng Thứ Ba ngày 13/6/2013

Địa điểm: Phòng 612, nhà A6

Tóm tắt: A class of optimal control problems governed by semilinear parabolic equations mixed pointwise are considered. We give some criteria under which Lagrange multipliers belong to $L^p$-spaces. We then establish first and second-order optimality conditions of KKT-type for the problem. Moreover, we show that if the initial value is good enough and boundary $partialOmega$ sátifies the property of positive geometric density, then multipliers and optimal solutions are H"{o}lder continuous.