First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations

Second Order ◽

Control Problems ◽

Second-Order Optimality Conditions for Weak and Strong Local Solutions of Parabolic Optimal Control Problems

Vietnam Journal of Mathematics ◽

10.1007/s10013-015-0175-6 ◽

2015 ◽

Vol 44 (1) ◽

pp. 181-202 ◽

Cited By ~ 11

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Local Solutions ◽

Parabolic Optimal Control

On second-order optimality conditions for optimal control problems governed by the obstacle problem

Optimization ◽

10.1080/02331934.2020.1778686 ◽

2020 ◽

pp. 1-41

Author(s):

Constantin Christof ◽

Gerd Wachsmuth

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Obstacle Problem ◽

Second Order Optimality Conditions

Second Order ◽

Control Problems ◽

No-gap second-order optimality conditions for optimal control problems with a single state constraint and control

Mathematical Programming ◽

10.1007/s10107-007-0167-8 ◽

2007 ◽

Vol 117 (1-2) ◽

pp. 21-50 ◽

Cited By ~ 27

Author(s):

J. Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

State Constraint ◽

Second Order ◽

Control Problems ◽

Single State ◽

And Control

Variational and Optimal Control Problems on Unbounded Domains - Contemporary Mathematics ◽

Second Order Optimality Conditions in Optimal Control Problems with Mixed Inequality Type Constraints on a Variable Time Interval

10.1090/conm/619/12389 ◽

2014 ◽

pp. 141-155

Author(s):

Nikolai Osmolovskii

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Time Interval ◽

Variable Time ◽

Inequality Type

SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER-STOKES EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(06)60099-4 ◽

2006 ◽

Vol 26 (4) ◽

pp. 729-734 ◽

Cited By ~ 3

Author(s):

Lijuan Wang ◽

Peijie He

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order Optimality Conditions

Stokes Equations ◽

Second Order ◽

Control Problems ◽

3 Dimensional ◽

First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0299-3 ◽

2013 ◽

Vol 159 (1) ◽

pp. 1-40 ◽

Cited By ~ 10

Author(s):

J. Frédéric Bonnans ◽

Constanza de la Vega ◽

Xavier Dupuis

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Integral Equations ◽

Second Order Optimality Conditions

Second Order ◽

Control Problems ◽

Actual directions of scientific researches of the XXI century theory and practice ◽

Optimal control problems for quasilinear elliptic equations with optimality criterion on the border

10.12737/6335 ◽

2014 ◽

Vol 2 (5) ◽

pp. 41-42

Author(s):

R. Kasimova

Keyword(s):

Optimal Control ◽

Elliptic Equations ◽

Optimality Criterion ◽

Control Problems ◽

Second-Order Optimality Conditions for Multiobjective Optimal Control Problems with Mixed Pointwise Constraints and Free Right End Point

SIAM Journal on Control and Optimization ◽

10.1137/19m1281770 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2658-2677

Author(s):

Bui Trong Kien ◽

Xiaolong Qin ◽

Ching-Feng Wen ◽

Jen-Chih Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

End Point ◽

Multiobjective Optimal Control ◽

Pointwise Constraints

Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2010025 ◽

2010 ◽

Vol 17 (3) ◽

pp. 771-800 ◽

Cited By ~ 3

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Numerical Analysis ◽

Elliptic Equations ◽

Control Problems ◽

On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507030037 ◽

2007 ◽

Vol 47 (3) ◽

pp. 361-380 ◽

Cited By ~ 9

Author(s):

F. V. Lubyshev ◽

A. R. Manapova

Keyword(s):

Optimal Control ◽

Finite Difference ◽

Elliptic Equations ◽

Control Problems ◽

Finite Difference Approximations ◽

Difference Approximations ◽