Optimality conditions for semilinear hyperbolic equations with controls in coefficients

DOI10.1007/s00245-011-9160-yzbMath1244.49039OpenAlexW1978847714MaRDI QIDQ442562

J. Herrera, H. S. Yoon

Publication date: 1 August 2012

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-011-9160-y

zbMATH Keywords

optimal controlhyperbolic equationnecessary conditionstwo-scale convergencehomogenized spike variation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order hyperbolic equations (35L20)

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REDUCTION OF THE ACOUSTIC INVERSE PROBLEM TO AN OPTIMAL CONTROL PROBLEM AND ITS INVESTIGATION, Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls, Minimization of the elliptic higher eigenvalues for multiphase anisotropic conductors

Cites Work

• Optimal control in coefficients of elliptic equations with state constraints
• Variational methods for structural optimization
• Applied optimal control theory of distributed systems
• Optimality conditions for semilinear parabolic equations with controls in leading term
• Optimality Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls
• Homogenization and Two-Scale Convergence
• On the convergence of solutions of hyperbolic equations
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Analysis and semidiscrete galerkin approximation of A class of nonlinear hyperbolic optimal control problems
• Optimality Conditions for Nonconvex Multistate Control Problems in the Coefficients
• Optimal control of processes described by equations of hyperbolic type
• Shape optimization by the homogenization method
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