Kien, Bui Trong; Rösch, Arnd; Son, Nguyen Hai; Tuyen, Nguyen Van FEM for semilinear elliptic optimal control with nonlinear and mixed constraints. (English) Zbl 07675428 J. Optim. Theory Appl. 197, No. 1, 130-173 (2023). MSC: 49K20 35J25 65M60 PDFBibTeX XMLCite \textit{B. T. Kien} et al., J. Optim. Theory Appl. 197, No. 1, 130--173 (2023; Zbl 07675428) Full Text: DOI
Kien, B. T.; Tuan, N. Q. Error estimates for approximate solutions to seminlinear elliptic optimal control problems with nonlinear and mixed constraints. (English) Zbl 1498.49034 Numer. Funct. Anal. Optim. 43, No. 14, 1672-1706 (2022). MSC: 49K20 35J25 35J61 49M25 65M60 PDFBibTeX XMLCite \textit{B. T. Kien} and \textit{N. Q. Tuan}, Numer. Funct. Anal. Optim. 43, No. 14, 1672--1706 (2022; Zbl 1498.49034) Full Text: DOI
Binh, T. D.; Kien, B. T.; Qin, X.; Wen, C.-F. Regularity of multipliers in second-order optimality conditions for semilinear elliptic control problems. (English) Zbl 1497.49033 Appl. Anal. 101, No. 15, 5504-5516 (2022). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49K20 49J20 93C10 49-02 PDFBibTeX XMLCite \textit{T. D. Binh} et al., Appl. Anal. 101, No. 15, 5504--5516 (2022; Zbl 1497.49033) Full Text: DOI
Kien, Bui Trong; Huong, Nguyen Thi Thu; Qin, Xiaolong; Wen, Ching-Feng; Yao, Jen-Chih Regularity of solutions to a distributed and boundary optimal control problem governed by semilinear elliptic equations. (English) Zbl 1460.49028 J. Math. Anal. Appl. 495, No. 1, Article ID 124694, 18 p. (2021). Reviewer: Giovanni Anello (Messina) MSC: 49N60 49K20 35J61 PDFBibTeX XMLCite \textit{B. T. Kien} et al., J. Math. Anal. Appl. 495, No. 1, Article ID 124694, 18 p. (2021; Zbl 1460.49028) Full Text: DOI
Kien, Bui Trong Second-order optimality conditions and solution stability to optimal control problems governed by stationary Navier-Stokes equations. (English) Zbl 1417.49023 Acta Math. Vietnam. 44, No. 2, 431-448 (2019). MSC: 49K20 35J25 PDFBibTeX XMLCite \textit{B. T. Kien}, Acta Math. Vietnam. 44, No. 2, 431--448 (2019; Zbl 1417.49023) Full Text: DOI
Kien, B. T.; Rösch, Arnd; Wachsmuth, Daniel Pontryagin’s principle for optimal control problem governed by 3D Navier-Stokes equations. (English) Zbl 1380.49023 J. Optim. Theory Appl. 173, No. 1, 30-55 (2017). Reviewer: Andrzej Świerniak (Gliwice) MSC: 49K20 93C20 76D05 35Q30 76N10 49K30 49N10 49N60 PDFBibTeX XMLCite \textit{B. T. Kien} et al., J. Optim. Theory Appl. 173, No. 1, 30--55 (2017; Zbl 1380.49023) Full Text: DOI
Kien, B. T.; Nhu, V. H.; Son, N. H. Second-order optimality conditions for a semilinear elliptic optimal control problem with mixed pointwise constraints. (English) Zbl 1368.49023 Set-Valued Var. Anal. 25, No. 1, 177-210 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49K20 35J25 PDFBibTeX XMLCite \textit{B. T. Kien} et al., Set-Valued Var. Anal. 25, No. 1, 177--210 (2017; Zbl 1368.49023) Full Text: DOI
Son, N. H.; Kien, B. T.; Rösch, A. Second-order optimality conditions for boundary control problems with mixed pointwise constraints. (English) Zbl 1352.49022 SIAM J. Optim. 26, No. 3, 1912-1943 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49K20 35J25 35J61 PDFBibTeX XMLCite \textit{N. H. Son} et al., SIAM J. Optim. 26, No. 3, 1912--1943 (2016; Zbl 1352.49022) Full Text: DOI
Kien, B. T.; Nhu, V. H.; Rösch, A. Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints. (English) Zbl 1318.49039 J. Optim. Theory Appl. 165, No. 1, 30-61 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49K20 35J61 35Q30 PDFBibTeX XMLCite \textit{B. T. Kien} et al., J. Optim. Theory Appl. 165, No. 1, 30--61 (2015; Zbl 1318.49039) Full Text: DOI
Kien, B. T.; Nhu, V. H.; Rösch, A. Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with mixed pointwise constraints. (English) Zbl 1312.49024 Optimization 64, No. 5, 1219-1238 (2015). MSC: 49K40 49K20 49N60 49J40 90C31 93B50 93C05 93C20 93C35 76D05 65J15 PDFBibTeX XMLCite \textit{B. T. Kien} et al., Optimization 64, No. 5, 1219--1238 (2015; Zbl 1312.49024) Full Text: DOI