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Second-Order Analysis for Control Constrained Optimal Control Problems of Semilinear Elliptic Systems

https://doi.org/10.1007/s002459900093
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inferredcites →https://doi.org/10.1002/cpa.3160120405openalex-snapshot
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/bf01184156openalex-snapshot
Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
inferredcites →https://doi.org/10.1007/bf01185227openalex-snapshot
Stability and sensitivity of solutions to nonlinear optimal control problems
inferredcites →https://doi.org/10.1007/bf01445166openalex-snapshot
Metric regularity, tangent sets, and second-order optimality conditions
inferredcites →https://doi.org/10.1007/bfb0006504openalex-snapshot
Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
inferredcites →https://doi.org/10.1016/s0168-2024(09)x7002-5openalex-snapshot
Theory of Extremal Problems
inferredcites →https://doi.org/10.1137/0325085openalex-snapshot
Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems
inferredcites →https://doi.org/10.1137/1.9781611970524.ch1openalex-snapshot
1. Conjugate Duality and Optimization
inferredcites →https://doi.org/10.1137/s0036144596302644openalex-snapshot
Optimization Problems with Perturbations: A Guided Tour
inferredcites →https://doi.org/10.1137/s0363012992237777openalex-snapshot
An Extension of Pontryagin’s Principle for State-Constrained Optimal Control of Semilinear Elliptic Equations and Variational Inequalities
inferredcites →https://doi.org/10.1137/s0363012994267273openalex-snapshot
Perturbed Optimization in Banach Spaces I: A General Theory Based on a Weak Directional Constraint Qualification
inferredcites →https://doi.org/10.1137/s0363012997324910openalex-snapshot
Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
inferredcites →https://doi.org/10.1287/moor.5.1.43openalex-snapshot
Strongly Regular Generalized Equations
inferredcites →https://doi.org/10.2969/jmsj/02940615openalex-snapshot
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
inferredcites →https://doi.org/10.4171/zaa/723openalex-snapshot
Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem

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inferred← citeshttps://doi.org/10.2139/ssrn.928219openalex-extracted
A Sequential Quadratic Programming Method for Volatility Estimation in Option Pricing
inferred← citeshttps://doi.org/10.1007/0-387-33882-9_30openalex-snapshot
Numerical Solution of Optimal Control Problems with Convex Control Constraints
inferred← citeshttps://doi.org/10.1007/978-0-387-35699-0_15openalex-snapshot
Solutions Differentiability of Parametric Optimal Control for Elliptic Equations
inferred← citeshttps://doi.org/10.1007/978-3-0348-8148-7_22openalex-snapshot
Boundary Control of the Burgers Equation: Optimality Conditions and Reduced-order Approach
inferred← citeshttps://doi.org/10.1007/978-3-0348-8233-0_14openalex-snapshot
Sufficient Optimality for Discretized Parabolic and Elliptic Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-0348-8691-8_8openalex-snapshot
Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints
inferred← citeshttps://doi.org/10.1007/978-3-319-60771-9_1openalex-snapshot
Optimality Conditions (in Pontryagin Form)
inferred← citeshttps://doi.org/10.1007/978-3-319-97613-6_5openalex-snapshot
The Influence of the Tikhonov Term in Optimal Control of Partial Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-36062-6_1openalex-snapshot
Second Order Conditions for L 2 Local Optimality in PDE Control
inferred← citeshttps://doi.org/10.1007/978-3-642-58891-4_26openalex-snapshot
A Survey on Second Order Optimality Conditions for the Optimal Control of Partial Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-7643-7721-2_10openalex-snapshot
An SQP Active Set Method for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditions
inferred← citeshttps://doi.org/10.1007/978-3-7643-7721-2_14openalex-snapshot
Optimal Control Problems with Convex Control Constraints
inferred← citeshttps://doi.org/10.1007/978-3-7643-8923-9_6openalex-snapshot
On Some Nonlinear Optimal Control Problems with Vector-valued Affine Control Constraints
inferred← citeshttps://doi.org/10.1007/s00025-019-1051-6openalex-snapshot
Necessary Second-Order Optimality Conditions in Distributed-Boundary Semilinear Elliptic Optimal Control with Twice Directionally Differentiable Functions
inferred← citeshttps://doi.org/10.1007/s00030-025-01045-7openalex-snapshot
Optimal control and homogenization of semi-linear parabolic problem with highly oscillatory coefficients in an oscillating domain
inferred← citeshttps://doi.org/10.1007/s00245-012-9178-9openalex-snapshot
Optimal Control of a Parabolic Equation with Dynamic Boundary Condition
inferred← citeshttps://doi.org/10.1007/s00245-016-9381-1openalex-snapshot
Pointwise Constraints in Vector-Valued Sobolev Spaces
inferred← citeshttps://doi.org/10.1007/s00245-023-10006-4openalex-snapshot
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations
inferred← citeshttps://doi.org/10.1007/s00245-024-10113-wopenalex-snapshot
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients
inferred← citeshttps://doi.org/10.1007/s10107-007-0167-8openalex-snapshot
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control
inferred← citeshttps://doi.org/10.1007/s10231-025-01594-9openalex-snapshot
Semi-linear optimal control problems with strong contrasting diffusivity in rough domains
inferred← citeshttps://doi.org/10.1007/s10589-013-9555-6openalex-snapshot
A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints
inferred← citeshttps://doi.org/10.1007/s10598-013-9164-3openalex-snapshot
A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems
inferred← citeshttps://doi.org/10.1007/s10957-008-9404-4openalex-snapshot
Sequential Quadratic Programming Method for Volatility Estimation in Option Pricing
inferred← citeshttps://doi.org/10.1007/s10957-024-02440-3openalex-snapshot
Optimality Conditions for Optimal Control of the Monodomain Model with Pointwise Control and State Constraints
inferred← citeshttps://doi.org/10.1007/s11081-020-09547-2openalex-snapshot
Convergence of the SQP method for quasilinear parabolic optimal control problems
inferred← citeshttps://doi.org/10.1007/s11117-020-00793-3openalex-snapshot
Second-order optimality conditions and regularity of Lagrange multipliers for mixed optimal control problems
inferred← citeshttps://doi.org/10.1007/s11228-015-0337-4openalex-snapshot
Second order analysis for the optimal control of parabolic equations under control and final state constraints
inferred← citeshttps://doi.org/10.1007/s11228-016-0373-8openalex-snapshot
Second-Order Optimality Conditions for a Semilinear Elliptic Optimal Control Problem with Mixed Pointwise Constraints
inferred← citeshttps://doi.org/10.1007/s11228-018-0474-7openalex-snapshot
Full Stability of General Parametric Variational Systems
inferred← citeshttps://doi.org/10.1007/s11228-020-00560-2openalex-snapshot
State-Constrained Control-Affine Parabolic Problems I: First and Second Order Necessary Optimality Conditions
inferred← citeshttps://doi.org/10.1007/s11424-011-9215-9openalex-snapshot
L ∞-estimates of mixed finite element methods for general nonlinear optimal control problems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2005.12.048openalex-snapshot
Sufficient second-order optimality conditions for convex control constraints
inferred← citeshttps://doi.org/10.1016/j.jmr.2011.07.023openalex-snapshot
Second order gradient ascent pulse engineering
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00309-5openalex-snapshot
Solving elliptic control problems with interior point and SQP methods: control and state constraints
inferred← citeshttps://doi.org/10.1016/s0898-1221(01)00095-5openalex-snapshot
Stability of elliptic optimal control problems
inferred← citeshttps://doi.org/10.1023/a:1008725519350openalex-snapshot
Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints: Part 1. Boundary Control
inferred← citeshttps://doi.org/10.1023/a:1008774521095openalex-snapshot
Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints. Part 2: Distributed Control
inferred← citeshttps://doi.org/10.1023/a:1011275507262openalex-snapshot
Verification of Second-Order Sufficient Optimality Conditions for Semilinear Elliptic and Parabolic Control Problems
inferred← citeshttps://doi.org/10.1051/cocv/2020092openalex-snapshot
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation
inferred← citeshttps://doi.org/10.1051/cocv/2020092/pdfopenalex-snapshot
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation
inferred← citeshttps://doi.org/10.1051/cocv/2021028openalex-snapshot
Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations
inferred← citeshttps://doi.org/10.1051/cocv:2005029openalex-snapshot
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
inferred← citeshttps://doi.org/10.1051/cocv:2007028openalex-snapshot
Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions
inferred← citeshttps://doi.org/10.1051/proc:1998034openalex-snapshot
Second order sufficient optimality conditions for a class of elliptic control problems
inferred← citeshttps://doi.org/10.1080/00036811.2016.1148691openalex-snapshot
Second-order necessary optimality conditions for semilinear elliptic optimal control problems
inferred← citeshttps://doi.org/10.1080/00036811.2017.1376319openalex-snapshot
Interpolation coefficients mixed finite element methods for general semilinear Dirichlet boundary elliptic optimal control problems
inferred← citeshttps://doi.org/10.1090/s0002-9947-2013-05961-2openalex-snapshot
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations
inferred← citeshttps://doi.org/10.1109/ccdc.2011.5968588openalex-snapshot
Error estimates of triangular mixed finite element methods for distributed parameter systems
inferred← citeshttps://doi.org/10.1134/s1995080211010124openalex-snapshot
Adaptive mixed finite element methods for nonlinear optimal control problems
inferred← citeshttps://doi.org/10.1137/040617753openalex-snapshot
Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions
inferred← citeshttps://doi.org/10.1137/050625850openalex-snapshot
Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints
inferred← citeshttps://doi.org/10.1137/060663714openalex-snapshot
Numerical Verification of Optimality Conditions
inferred← citeshttps://doi.org/10.1137/07068240xopenalex-snapshot
Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
inferred← citeshttps://doi.org/10.1137/080720048openalex-snapshot
First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
inferred← citeshttps://doi.org/10.1137/090778602openalex-snapshot
Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties
inferred← citeshttps://doi.org/10.1137/110840406openalex-snapshot
Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
inferred← citeshttps://doi.org/10.1137/120862892openalex-snapshot
Second Order Analysis for Bang-Bang Control Problems of PDEs
inferred← citeshttps://doi.org/10.1137/130906878openalex-snapshot
Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control
inferred← citeshttps://doi.org/10.1137/15m1033629openalex-snapshot
Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints
inferred← citeshttps://doi.org/10.1137/17m1140418openalex-snapshot
No-Gap Second-Order Conditions via a Directional Curvature Functional
inferred← citeshttps://doi.org/10.1137/17m1153224openalex-snapshot
Full Stability for a Class of Control Problems of Semilinear Elliptic Partial Differential Equations
inferred← citeshttps://doi.org/10.1137/18m117220xopenalex-snapshot
Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term
inferred← citeshttps://doi.org/10.1137/19m1239106openalex-snapshot
Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations
inferred← citeshttps://doi.org/10.1137/19m1258244openalex-snapshot
Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization
inferred← citeshttps://doi.org/10.1137/20m1331263openalex-snapshot
A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System
inferred← citeshttps://doi.org/10.1137/s0036144596302644openalex-snapshot
Optimization Problems with Perturbations: A Guided Tour
inferred← citeshttps://doi.org/10.1137/s0363012902403262openalex-snapshot
Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints
inferred← citeshttps://doi.org/10.1137/s0363012997324910openalex-snapshot
Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
inferred← citeshttps://doi.org/10.1137/s0363012998333724openalex-snapshot
Optimal Control Problems with Partially Polyhedric Constraints
inferred← citeshttps://doi.org/10.1142/s0219199719500299openalex-snapshot
Semi-linear optimal control problem on a smooth oscillating domain
inferred← citeshttps://doi.org/10.1142/s0219876225500288openalex-snapshot
B-Spline Finite Element Method for Optimal Control Problems with a Thin Film Epitaxy Equation
inferred← citeshttps://doi.org/10.1163/156939506778658302openalex-snapshot
Estimating the control error in discretized PDE-constrained optimization
inferred← citeshttps://doi.org/10.1186/1029-242x-2013-351openalex-snapshot
A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations
inferred← citeshttps://doi.org/10.1201/9781315152448-18openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1287/moor.23.4.806openalex-snapshot
Sensitivity Analysis of Optimization Problems Under Second Order Regular Constraints
inferred← citeshttps://doi.org/10.1365/s13291-014-0109-3openalex-snapshot
Second Order Optimality Conditions and Their Role in PDE Control
inferred← citeshttps://doi.org/10.14279/depositonce-1470openalex-snapshot
Optimal control of the unsteady Navier-Stokes equations
inferred← citeshttps://doi.org/10.14760/owr-2005-18openalex-snapshot
Optimal Control of Coupled Systems of PDE
inferred← citeshttps://doi.org/10.1515/156939506778658302openalex-snapshot
Estimating the control error in discretized PDE-constrained optimization
inferred← citeshttps://doi.org/10.1515/forum-2023-0265openalex-snapshot
The existence of optimal solutions for nonlocal partial systems involving fractional Laplace operator with arbitrary growth
inferred← citeshttps://doi.org/10.2306/scienceasia1513-1874.2016.42.213openalex-snapshot
Superconvergence of triangular mixed finite element methods for nonlinear optimal control problems
inferred← citeshttps://doi.org/10.3182/20130925-3-fr-4043.00087openalex-snapshot
Weak and strong minima : from calculus of variation toward PDE optimization
inferred← citeshttps://doi.org/10.3934/eect.2026050openalex-snapshot
Optimal control for infinite-horizon bilinear systems subject to a set of vector-valued functions
inferred← citeshttps://doi.org/10.4208/nmtma.2011.42s.4openalex-snapshot
Higher Order Triangular Mixed Finite Element Methods for Semilinear Quadratic Optimal Control Problems
inferred← citeshttps://doi.org/10.4208/nmtma.2013.1230nmopenalex-snapshot
Error Estimates and Superconvergence of RT0 Mixed Methods for a Class of Semilinear Elliptic Optimal Control Problems
inferred← citeshttps://doi.org/10.4236/am.2017.82014openalex-snapshot
Mathematical Analysis of an Optimal Control Problem of Surface Water Pollution
inferred← citeshttps://doi.org/10.48550/arxiv.1409.2018openalex-snapshot
Local strong maximal monotonicity and full stability for parametric variational systems
inferred← citeshttps://doi.org/10.48550/arxiv.1708.06631openalex-snapshot
Full stability of general parametric variational systems
inferred← citeshttps://doi.org/10.48550/arxiv.2002.08635openalex-snapshot
Full Stability for Variational Nash Equilibriums of Parametric Optimal Control Problems of PDEs
inferred← citeshttps://doi.org/10.68381/jca09032openalex-snapshot
Sensitivity Analysis for Parametric Optimal Control of Semilinear Parabolic Equations
inferred← citeshttps://doi.org/10.68381/jca26010openalex-snapshot
A Guided Tour of Polyhedric Sets: Basic Properties, New Results on Intersections and Applications
inferred← citeshttps://doi.org/10.7153/jmi-2017-11-83openalex-snapshot
Interpolation coefficients mixed finite element methods and L^∞-error estimates for nonlinear optimal control problem
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