Differentiation of operators and optimality conditions in category interpretation

DOI10.3103/S1066369X10020076zbMath1215.49032OpenAlexW2076144825MaRDI QIDQ847883

S. Ya. Serovaiskii

Publication date: 19 February 2010

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x10020076

zbMATH Keywords

optimality conditionsnonlinear elliptic equationcategoriesoperator derivatives

Mathematics Subject Classification ID

Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Special categories (18B99) Optimality conditions for problems involving relations other than differential equations (49K21)

Cites Work

• Optimal control of nonsmooth distributed parameter systems
• An optimal control problem with nonlinear elliptic state equations
• Optimization and nonsmooth analysis
• LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
• The theory of differentiation in linear topological spaces
• Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls
• Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
• Calculation of functional gradients and extended differentiation of operators
• An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. I. General Theory
• An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. II. Applications
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