Shape stability of optimal control problems in coefficients for coupled system of Hammerstein type

DOI10.3934/dcdsb.2015.20.2967zbMath1326.49007arXiv1701.06611OpenAlexW2527656411MaRDI QIDQ500146

Olha P. Kupenko, Rosanna Manzo

Publication date: 1 October 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06611

zbMATH Keywords

stabilityoptimal control problemdomain perturbationsHammerstein type equationnonlinear monotone Dirichlet problemsolenoidal admissible controls

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Perturbations in control/observation systems (93C73) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Boundary value problems for second-order elliptic systems (35J57)

Related Items

On attainability of optimal controls in coefficients for system of Hammerstein type with anisotropic \(p\)-Laplacian ⋮ Approximation of an optimal control problem in coefficient for variational inequality with anisotropic \(p\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis
• The effect of domain shape on the number of positive solutions of certain nonlinear equations. II
• Suboptimal boundary controls for elliptic equation in critically perforated domain
• On shape stability of Dirichlet optimal control problems in coefficients for nonlinear elliptic equations
• A stability result for nonlinear Neumann problems under boundary variations
• Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
• Applied optimal control theory of distributed systems
• \(N\)-dimensional shape optimization under capacitary constraint
• Domain perturbation for linear and nonlinear parabolic equations
• Variational methods in shape optimization problems
• Convergence of convex sets and of solutions of variational inequalities
• Quasi topologies and rational approximation
• Mathematical Control Theory of Coupled PDEs
• Optimal Control Problems in Coefficients for Degenerate Equations of Monotone Type: Shape Stability and Attainability Problems
• Weakly Differentiable Functions
• Shape optimisation problems governed by nonlinear state equations
• NONLINEAR EQUATIONS OF HAMMERSTEIN TYPE WITH POTENTIAL AND MONOTONE OPERATORS IN BANACH SPACES
• Shape optimization by the homogenization method