Lipschitz stability of solutions to some state-constrained elliptic optimal control problems
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Publication:873751
DOI10.4171/ZAA/1300zbMath1108.49016OpenAlexW1999947435MaRDI QIDQ873751
Publication date: 20 March 2007
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1300
Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Sensitivity, stability, parametric optimization (90C31)
Related Items (13)
Stability in Affine Optimal Control Problems Constrained by Semilinear Elliptic Partial Differential Equations ⋮ Stability for semilinear parabolic optimal control problems with respect to initial data ⋮ Solution stability to parametric distributed optimal control problems with finite unilateral constraints ⋮ Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets ⋮ New Assumptions for Stability Analysis in Elliptic Optimal Control Problems ⋮ State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations ⋮ Locally Lipschitz stability of a parametric semilinear elliptic optimal control problem with mixed constraints ⋮ Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints ⋮ Second-order optimality conditions and solution stability to optimal control problems governed by stationary Navier-Stokes equations ⋮ Stability of semilinear elliptic optimal control problems with pointwise state constraints ⋮ \(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations ⋮ Upper semicontinuity of the solution map to a parametric elliptic optimal control problem ⋮ Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation
Cites Work
- Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
- Optimality conditions for state-constrained Dirichlet boundary control problems
- Optimal control of parabolic problems with state constraints: A penalization method for optimality conditions
- Dirichlet boundary control of semilinear parabolic equations. II: Problems with pointwise state constraints
- Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints
- Optimal Control Problems with Mixed Control-State Constraints
- Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
- The lagrange-newton method for infinite-dimensional optimization problems
- Control of an Elliptic Problem with Pointwise State Constraints
- On boundary state constrained control problems
- Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
- Optimality conditions and generalized bang—bang principle for a state—constrained semilinear parabolic problem
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