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Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions - MaRDI portal

Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions (Q2311979)

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English	Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions	scientific article

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scholarly article

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Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions (English)

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Tuan Nguyen Dinh

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Results in Mathematics

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publication date

4 July 2019

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zbMATH Keywords

semilinear elliptic systems

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second-order optimality conditions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00025-019-1051-6

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Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls

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Set-valued analysis

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Second Order Analysis for Strong Solutions in the Optimal Control of Parabolic Equations

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A unified theory of first and second order conditions for extremum problems in topological vector spaces

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Second-order analysis for control constrained optimal control problems of semilinear elliptic systems

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No-gap second-order optimality conditions for optimal control problems with a single state constraint and control

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Optimal Control Problems with Partially Polyhedric Constraints

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Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints

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Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints

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Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations

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Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory

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Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory

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Second order optimality conditions and their role in PDE control

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Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems

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Metric regularity, tangent sets, and second-order optimality conditions

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On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs

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Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions

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An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems

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Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control Problems with Mixed Pointwise Constraints

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Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints

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Second-Order Necessary Conditions for Nonlinear Optimization Problems in Banach Spaces and Their Application to an Optimal Control Problem

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On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints

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Second-order necessary optimality conditions for semilinear elliptic optimal control problems

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Necessary second-order conditions for a weak local minimum in a problem with endpoint and control constraints

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Nonsmooth Optimum Problems with Constraints

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First- and Second-Order Necessary Conditions for Control Problems with Constraints

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Optimal Control Problems with Set-Valued Control and State Constraints

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Second-Order Conditions for Optimization Problems with Constraints

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Variational Analysis

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Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints

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Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints

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On necessary optimality conditions for nonsmooth vector optimization problems with mixed constraints in infinite dimensions

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Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications

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A second-order Lagrangian condition for restricted control problems

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Identifiers

zbMATH Open document ID

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10.1007/s00025-019-1051-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2311979

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