Necessary and sufficient conditions of optimality for an optimal control problem with non‐local boundary conditions and quadratic functional

DOI10.1002/oca.2067zbMath1354.49050OpenAlexW2161971737MaRDI QIDQ5418936

J. M. Sanchez, F. Criado, Nana Odisehlidze, Francisco Criado-Aldeanueva

Publication date: 30 May 2014

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2067

zbMATH Keywords

boundary value problemsHelmholtz equationoptimality for control problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Linear-quadratic optimal control problems (49N10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Finite volume element approximations of nonlocal in time one-dimensional flows in porous media
• Solution of a nonlocal boundary value problem for the Poisson equation with mixed boundary conditions with the use of Green's function
• On a control problem governed by a linear partial differential equation with a smooth functional
• Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
• The two-dimensional heat equation with nonlocal boundary conditions
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