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State Constrained Control Problems Governed by Variational Inequalities

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00047053openalex-snapshot
Convexity and optimization in banach spaces
inferredcites →https://doi.org/10.1007/bfb0065318openalex-snapshot
Duality in optimal control
inferredcites →https://doi.org/10.1016/0022-1236(76)90017-3openalex-snapshot
Contrôle dans les inéquations variationelles elliptiques
inferredcites →https://doi.org/10.1016/0022-247x(81)90125-6openalex-snapshot
Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities
inferredcites →https://doi.org/10.1016/0022-247x(82)90165-2openalex-snapshot
Convex parabolic boundary control problems with pointwise state constraints
inferredcites →https://doi.org/10.1090/s0002-9947-1971-0282283-0openalex-snapshot
Existence and Duality Theorems for Convex Problems of Bolza
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Optimal control of variational inequalities
inferredcites →https://doi.org/10.1112/plms/s3-39.2.331openalex-snapshot
Directionally Lipschitzian Functions and Subdifferential Calculus
inferredcites →https://doi.org/10.1137/0310051openalex-snapshot
State Constraints in Convex Control Problems of Bolza
inferredcites →https://doi.org/10.1137/0319006openalex-snapshot
Necessary Conditions for Distributed Control Problems Governed by Parabolic Variational Inequalities
inferredcites →https://doi.org/10.1137/0320010openalex-snapshot
Boundary Control Problems with Nonlinear State Equation
inferredcites →https://doi.org/10.1137/0322028openalex-snapshot
Optimal Control in Some Variational Inequalities
inferredcites →https://doi.org/10.1137/1.9780898719451openalex-snapshot
An Introduction to Variational Inequalities and Their Applications
inferredcites →https://doi.org/10.4153/cjm-1980-020-7openalex-snapshot
Generalized Directional Derivatives and Subgradients of Nonconvex Functions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Optimal Control of a Viscous Two‐Field Gradient Damage Model
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Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints
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Optimal control of hyperbolic H-hemivariational inequalities with state constraints
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Optimal control of an obstacle problem
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Equivalent control problems and applications
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A Relaxation Approach to Vector-Valued Allen–Cahn MPEC Problems
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Optimal Control of an Obstacle Problem
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Minimax Control of Parabolic Systems with Dirichlet Boundary Conditions and State Constraints
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State-constrained optimal control of nonlinear elliptic variational inequalities
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Topological optimization with nonlinear state equation
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Some results about perturbed maximal monotone mappings
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The existence results for optimal control problems governed by a variational inequality
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References
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NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT
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Optimal control of parabolic variational inequality involving state constraint
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Some Optimal Control Problems Governed by Elliptic Variational Inequalities with Control and State Constraint on the Boundary
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Use of Augmented Lagrangian Methods for the Optimal Control of Obstacle Problems
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Optimal control for the obstacle problem with state constraints
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THE OPTIMALITY PRINCIPLE FOR DISCRETE AND DIFFERENTIAL INCLUSIONS OF PARABOLIC TYPE WITH DISTRIBUTED PARAMETERS, AND DUALITY
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A Penalty Approach to Optimal Control of Allen-Cahn Variational Inequalities: MPEC-View
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Optimal control problems governed by a variational inequality via nonlinear Lagrangian methods
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STATE-CONSTRAINED OPTIMAL CONTROL IN HILBERT SPACE*
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Optimal Control of Nonsmooth, Semilinear Parabolic Equations
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Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities
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Strong Stationarity for Optimal Control of a Nonsmooth Coupled System: Application to a Viscous Evolutionary Variational Inequality Coupled with an Elliptic PDE
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An Extension of Pontryagin’s Principle for State-Constrained Optimal Control of Semilinear Elliptic Equations and Variational Inequalities
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Optimal Control of Pseudoparabolic Variational Inequalities Involving State Constraint
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THE EXISTENCE RESULTS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY QUASI-VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES
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Optimal control of two variational inequalities arising in solid mechanics
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Strong stationarity for a highly nonsmooth optimization problem with control constraints
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Optimal Control of a Viscous Two-Field Damage Model with Fatigue
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Optimality Conditions for Constrained Convex Parabolic Control Problems Via Duality
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