Identification of nonlinear elliptic equations

DOI10.1007/BF01183141zbMath0865.35139MaRDI QIDQ1911771

Viorel Barbu, Karl Kunisch

Publication date: 10 July 1997

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

zbMATH Keywords

algorithmnonlinear least-squares problemconvex analysisestimation of state-dependent coefficientsoptimization theoretic approach

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Inverse problems for PDEs (35R30)

Related Items (9)

Optimality conditions for a nonlinear boundary value problem using nonsmooth analysis ⋮ Solution of nonlinear Cauchy problem for hyperelastic solids ⋮ Nonlinearity identification in divergence type elliptic boundary value problems ⋮ Smooth and nonsmooth Lipschitz controls for a class of vector differential equations ⋮ On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs ⋮ First-order necessary conditions of optimality for strongly monotone nonlinear control problems ⋮ On the determination of missing boundary data for solids with nonlinear material behaviors, using displacement fields measured on a part of their boundaries ⋮ Inverse problem for a class of nonlinear elliptic equations with entropy solution ⋮ Control and estimation of the boundary heat transfer function in Stefan problems

Cites Work

• Estimation techniques for distributed parameter systems
• A geometric theory for \(L^ 2\)-stability of the inverse problem in a one-dimensional elliptic equation from an \(H^ 1\)-observation
• The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems
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