A variational inequality approach to constrained control problems for parabolic equations

DOI10.1007/BF01448366zbMath0602.49023OpenAlexW2030389705MaRDI QIDQ1081833

P. Naittaanmäki, Dan Tiba

Publication date: 1988

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01448366

zbMATH Keywords

parabolic systemsgradient methodsconstraintsdistributed optimal controlparabolic variational inequalities

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical methods based on necessary conditions (49M05) Control/observation systems governed by partial differential equations (93C20) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Methods of reduced gradient type (90C52) Second-order parabolic systems (35K40)

Related Items (3)

Fixed-time neural networks with time-invariant and time-varying coefficients for mixed variational inequalities ⋮ Existence, uniqueness, and convergence of optimal control problems associated with parabolic variational inequalities of the second kind ⋮ Extremal solutions of certain operator-differential systems

Cites Work

• Differential stability of solutions to constrained optimization problems
• Contrôle dans les inéquations variationelles elliptiques
• Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
• Strong convergence results related to strict convexity
• Optimal Control in Some Variational Inequalities
• Optimality Conditions for Distributed Control Problems with Nonlinear State Equation
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