Optimal control of the obstacle for a parabolic variational inequality

DOI10.1006/JMAA.2001.7833zbMath1022.49009OpenAlexW2063245973WikidataQ60231262 ScholiaQ60231262MaRDI QIDQ1604269

David R. Adams, Suzanne M. Lenhart

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3faeb71e11074a9ad46a1d54432f123742bfd1fb

zbMATH Keywords

optimal controloptimality conditionsobstacle problemparabolic variational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85)

Related Items (14)

Optimal control for obstacle problems involving time-dependent variational inequalities with Liouville-Caputo fractional derivative ⋮ The method of extremal shift in control problems for evolution variational inequalities under disturbances ⋮ Optimal control of the obstacle in a quasilinear elliptic variational inequality ⋮ On a highly nonlinear self-obstacle optimal control problem ⋮ Optimal Obstacle Control Problems Involving Nonsmooth Cost Functionals and Quasilinear Variational Inequalities ⋮ Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities ⋮ Optimal control of pseudoparabolic variational inequalities involving state constraint ⋮ State-constrained optimal control of nonlinear elliptic variational inequalities ⋮ Optimal obstacle control problem ⋮ Optimal control of the obstacle in semilinear variational inequalities ⋮ Optimal Control of a Biharmonic Obstacle Problem ⋮ Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints ⋮ Optimal Control Problems for Elliptic–Parabolic Variational Inequalities with Time-Dependent Constraints ⋮ Optimal control for the infinity obstacle problem

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• The Relationship Between the Maximum Principle and Dynamic Programming for the Control of Parabolic Variational Inequalities

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