Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control

DOI10.1080/02331938908843489zbMath0682.49027OpenAlexW2064351918MaRDI QIDQ4731733

Fredi Tröltzsch, H.Goldberg

Publication date: 1989

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938908843489

zbMATH Keywords

heat equationHammerstein integral equationssemilinear parabolic boundary control problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Programming in abstract spaces (90C48) Optimality conditions (49K99)

Related Items

On the numerical solution of Plateau's problem, An SQP method for optimal control of weakly singular Hammerstein integral equations, Strong stationarity for optimal control problems with non-smooth integral equation constraints: application to a continuous DNN, Second-order optimality conditions for an optimal control problem governed by a regularized phase-field fracture propagation model, Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal control, Convergence of the SQP method for quasilinear parabolic optimal control problems, Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems -- strong convergence of optimal controls

Cites Work

• Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
• On changing the spaces in Lagrange multiplier rules for the optimal control of non-linear operator equations
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
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