Optimal Control of Nonlinear Elliptic PDEs – Theory and Optimization Methods

DOI10.1007/978-3-662-43880-0_8zbMath1446.49020OpenAlexW1445192848MaRDI QIDQ5116348

Basilis Kokkinis, John T. Coletsos

Publication date: 25 August 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-43880-0_8

zbMATH Keywords

optimal control problemdirectional derivativestate constraintclassical controlinitial control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (1)

New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors

Cites Work

• Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems)
• Discretization of nonlinear elliptic optimal control problems
• Higher-order convex approximations of Young measures in optimal control
• Numerical approximation of Young measures in non-convex variational problems
• Discretization methods for optimal control problems with state constraints
• Steepest Descent with Relaxed Controls
• Existence of optimal controls for semilinear elliptic equations without Cesari-type conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal Control of Nonlinear Elliptic PDEs – Theory and Optimization Methods