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

Người báo cáo: Huỳnh Khanh


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 Lp-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.

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