Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
From MaRDI portal
Publication:1283974
DOI10.1007/s002459900104zbMath0921.49013OpenAlexW2080709116MaRDI QIDQ1283974
Eduardo Casas, Fredi Tröltzsch
Publication date: 15 September 1999
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002459900104
Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25)
Related Items
Error estimates in \(L^2\) and \(L^\infty\) norms of finite volume method for the bilinear elliptic optimal control problem, Second-order Lagrange multiplier rules in multiobjective optimal control of infinite dimensional systems under state constraints and mixed pointwise constraints, Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem, Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints, Adjoint optimization of one-dimensional hyperbolic equations with constrained periodic boundary conditions, Optimal Wentzell boundary control of parabolic equations, Lipschitz stability of solutions to some state-constrained elliptic optimal control problems, Spectral approximation for optimal control problems governed by first bi‐harmonic equation, Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions, Error estimates of \textit{hp} spectral element methods in nonlinear optimal control problem, Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints, Optimality Conditions (in Pontryagin Form), Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls, Necessary optimality conditions for some control problems of elliptic equations with Venttsel boundary conditions, \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem, Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations, Boundary control of non-well-posed elliptic equations with nonlinear Neumann boundary conditions, Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems, Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems, A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints, No-gap second-order conditions under $n$-polyhedric constraints and finitely many nonlinear constraints, Optimality conditions for boundary control of non-well-posed elliptic equations, Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints, A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint, Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint, Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints, A posteriori error estimates of \textit{hp} spectral element methods for integral state constrained elliptic optimal control problems, Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions, Optimal control under reduced regularity, Optimal control problem for an elliptic equation which has exactly two solutions, Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations, Second order optimality conditions and their role in PDE control, A priori and a posteriori error analysis of \textit{hp} spectral element discretization for optimal control problems with elliptic equations, Second order analysis for the optimal control of parabolic equations under control and final state constraints