Xuất bản mới
Cấn Văn Hảo, Naoki Kubota, Shuta Nakajima, Lipschitz-Type Estimate for the Frog Model with Bernoulli Initial Configuration, Mathematical Physics, Analysis and Geometry, Volume 28, article number 1, (2025) (SCI-E, Scopus) .
Đoàn Thái Sơn, Phan Thị Hương, Peter E. Kloeden, Theta-scheme for solving Caputo fractional differential equations, Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 05, pp. 1-13 (SCI-E, Scopus) .
Đinh Sĩ Tiệp, Guo Feng, Nguyễn Hồng Đức, Phạm Tiến Sơn, Computation of the Łojasiewicz exponents of real bivariate analytic functions, Manuscripta Mathematica . Volume 176, 1 (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.