Optimal control and relaxation of nonlinear elliptic systems

DOI10.1007/BF01299382zbMath0768.49003OpenAlexW2090667293MaRDI QIDQ5905657

Nikolaos S. Papageorgiou

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178589

zbMATH Keywords

optimal controlrelaxationelliptic systemsnecessary conditionstransition probabilitymultiplier rule\(\Gamma\)-regularizationstate inequality constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Familles d'opérateurs maximaux monotones et mesurabilite
• On the optimal control and relaxation of nonlinear infinite dimensional systems
• Convergence theorems for Banach space valued integrable multifunctions
• Some relaxation problems in optimal control theory
• Necessary conditions for optimality in problems of control by systems described by elliptic equations
• Integrals, conditional expectations, and martingales of multivalued functions
• Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz
• Borel sections of many-valued maps
• Uniform convergence of probability measures: Topological criteria
• Relaxation methods in control theory
• On the extension of von Neumann-Aumann's theorem
• Integrals of set-valued functions
• Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.)
• Properties of Relaxed Trajectories for a Class of Nonlinear Evolution Equations on a Banach Space
• A general denseness result for relaxed control theory
• Random Fixed Point Theorems for Measurable Multifunctions in Banach Spaces
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
• Properties of the Relaxed Trajectories of Evolution Equations and Optimal Control
• Necessary Conditions for Optimality of Elliptic Systems with Positivity Constraints on the State
• The Identifiability of Linear Models with Autocorrelated Errors
• Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains
• Necessary Conditions for Optimal Controls of Elliptic or Parabolic Problems
• Intégrandes normales et mesures paramétrées en calcul des variations
• Convex Analysis

This page was built for publication: Optimal control and relaxation of nonlinear elliptic systems