Differentiation of the functional in a parametric optimization problem for a coefficient of a semilinear elliptic equation

DOI10.1134/S0012266117040139zbMath1377.49022OpenAlexW2616440117WikidataQ115250969 ScholiaQ115250969MaRDI QIDQ2399396

Yanyan Li

Publication date: 23 August 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117040139

zbMATH Keywords

semilinear elliptic equationparametric optimization problemobjective functionaldifferentiation of the functional

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Inverse problems in optimal control (49N45) Semilinear elliptic equations (35J61)

Related Items (2)

Total preservation of the solvability of the semilinear global electric circuit equation ⋮ On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation

Cites Work

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• On the convexity of reachability sets of controlled initial-boundary value problems
• A majorant criterion for the total preservation of global solvability of controlled functional operator equation
• A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation
• Differentiation of the functional in a parametric optimization problem for the higher coefficient of an elliptic equation
• Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives
• On Volterra type generalization of monotonization method for nonlinear functional operator equations

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