Optimal Design of Domains with Free-Boundary Problems

DOI10.1137/0329035zbMath0732.49003OpenAlexW2042818847MaRDI QIDQ3357766

Avner Friedman, Viorel Barbu

Publication date: 1991

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0329035

zbMATH Keywords

necessary conditionscontrol inputelectrochemical processesfree boundary of a variational inequalityoptimal shaping of a spatial domain

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (6)

An optimal control problem in coefficients for a strongly degenerate parabolic equation with interior degeneracy ⋮ A boundary functional for optimal shape design problems ⋮ Existence of a solution for complete least squares optimal shape problems ⋮ An Inverse Problem for a Nonlinear Stochastic Wave Equation ⋮ Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities ⋮ Identification of a diffusion coefficient in strongly degenerate parabolic equations with interior degeneracy

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