Second-order optimality conditions for a semilinear elliptic optimal control problem with mixed pointwise constraints
From MaRDI portal
Publication:526394
DOI10.1007/s11228-016-0373-8zbMath1368.49023OpenAlexW2345804663MaRDI QIDQ526394
Nguyen Hai Son, Bui Trong Kien, Vu Huu Nhu
Publication date: 12 May 2017
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-016-0373-8
optimal controlsemilinear elliptic equationmixed pointwise constraintsecond-order necessary optimality conditionsecond-order sufficient optimality conditionstrongly extended polyhedricity condition
Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25)
Related Items
Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints ⋮ Continuity regularity of optimal control solutions to distributed and boundary semilinear elliptic optimal control problems with mixed pointwise control-state constraints ⋮ Solution stability to parametric distributed optimal control problems with finite unilateral constraints ⋮ Optimal Control Problems Governed by Fractional Differential Equations with Control Constraints ⋮ FEM for semilinear elliptic optimal control with nonlinear and mixed constraints ⋮ No-gap optimality conditions for an optimal control problem with pointwise control-state constraints ⋮ Regularity of solutions to a distributed and boundary optimal control problem governed by semilinear elliptic equations ⋮ Second-order optimality conditions and solution stability to optimal control problems governed by stationary Navier-Stokes equations ⋮ \(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations ⋮ Second-order optimality conditions and regularity of Lagrange multipliers for mixed optimal control problems ⋮ Second-order necessary optimality conditions for an optimal control problem ⋮ Full Stability for a Class of Control Problems of Semilinear Elliptic Partial Differential Equations ⋮ No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation ⋮ Regularity of multipliers in second-order optimality conditions for semilinear elliptic control problems ⋮ Second-order necessary optimality conditions for an optimal control problem with nonlinear state equations ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Metric regularity, tangent sets, and second-order optimality conditions
- Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints
- Regularity and stability for the mathematical programming problem in Banach spaces
- Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
- Problèmes unilateraux
- Calculus Without Derivatives
- Second Order Analysis for Bang-Bang Control Problems of PDEs
- On Regularity of Solutions and Lagrange Multipliers of Optimal Control Problems for Semilinear Equations with Mixed Pointwise Control-State Constraints
- First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
- Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- Variational Analysis
- Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints
- Optimal Control Problems with Partially Polyhedric Constraints
- On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints
- Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations
- Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control Problems with Mixed Pointwise Constraints
- No-gap second-order optimality conditions for optimal control problems with a single state constraint and control
- Set-valued analysis
- Direct methods in the calculus of variations
This page was built for publication: Second-order optimality conditions for a semilinear elliptic optimal control problem with mixed pointwise constraints
