Second-order optimality conditions and regularity of Lagrange multipliers for mixed optimal control problems
Báo cáo viên: Nguyễn Quốc Tuấn

Thời gian: 9h Thứ Ba ngày 3/11/2020

Địa điểm: Phòng 612 Nhà A6 Viện Toán học, 18B Hoàng Quốc Việt
Tóm tắt: In this seminar, we present some results on  second-order optimality conditions and regularity of Lagrange multipliers for a class of optimal control problems governed by semilinear elliptic equations with mixed pointwise constraints in which controls act both in the domain and on the boundary. We give some criteria under which the optimality conditions is of KKT type and the multipliers are of $L^p$-spaces. Moreover, we show that the multipliers are Lipschitz continuous functions.

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