Xuất bản mới
Nguyễn Hữu Sáu, Piyapong Niamsup, Vũ Ngọc Phát, Linear Programming Approach to Constrained Stabilization of Positive Differential-Difference Equations With Unbounded Delay, Optimal Control Applications and Methods, 2025; 46:2581--2594 (SCI-E, Scopus) .
Đỗ Hoàng Sơn, Vũ Đức Việt, Quantitative stability for the complex Monge-Ampère equations II, Calculus of Variations and Partial Differential Equations 64 (2025), no. 8, Paper No. 269 (SCI-E, Scopus) .
Giang Trung Hiếu, Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model, Journal of Engineering Mathematics, Volume 151, article number 5, (2025) (SCI-E, Scopus) .

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 $L^p$-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.