Lower-semicontinuity in domain optimization problems

DOI10.1007/BF00940307zbMath0629.49006MaRDI QIDQ1093881

B. George

Publication date: 1988

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

lower semicontinuitydomain optimizationboundary-value problem of Neumann type for Dirichlet type

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (10)

Generalized implicit function theorems and problems with a free boundary ⋮ Second-order necessary conditions in a domain optimization problem ⋮ Second-order numerical method for domain optimization problems ⋮ Shape optimization for noise radiation problems. ⋮ On a shape control problem for the stationary Navier-Stokes equations ⋮ Gradient based biobjective shape optimization to improve reliability and cost of ceramic components ⋮ GivEn -- shape optimization for gas turbines in volatile energy networks ⋮ Minimal failure probability for ceramic design via shape control ⋮ Optimal shape design for systems governed by variational inequalities. I: Existence theory for the elliptic case ⋮ An analytical study in multi-physics and multi-criteria shape optimization

Cites Work

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• Shape design sensitivity of a membrane
• On the existence of a solution in a domain identification problem
• On the Definition and Properties of Certain Variational Integrals
• Necessary Conditions for a Domain Optimization Problem in Elliptic Boundary Value Problems
• On optimum design in fluid mechanics
• On optimum profiles in Stokes flow
• Torsional rigidity, principal frequency, electrostatic capacity and symmetrization

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