Relaxation of optimal control problems in Lp-SPACES

DOI10.1051/cocv:2001104zbMath0965.49016OpenAlexW2285341099MaRDI QIDQ2701822

Nadir Arada

Publication date: 1 March 2001

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2001__6__73_0

zbMATH Keywords

necessary optimality conditionscompactificationsemilinear control systemsrelaxed controlsnoncompact control sets

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Second-order parabolic systems (35K40)

Cites Work

• Oscillations and concentrations in weak solutions of the incompressible fluid equations
• Degenerate parabolic equations
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Characterizations of Young measures generated by gradients
• Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz
• State-constrained relaxed problems for semilinear elliptic equations
• Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
• Gradient Young measures generated by sequences in Sobolev spaces
• Nonlinear boundary control of semilinear parabolic problems with pointwise state constraints
• Necessary conditions in generalized-curve problems of the calculus of variations
• Properties of Relaxed Trajectories for a Class of Nonlinear Evolution Equations on a Banach Space
• Properties of Relaxed Trajectories of Evolution Equations and Optimal Control
• Properties of the Relaxed Trajectories of Evolution Equations and Optimal Control
• Convergence of solution to nonlinear dispersive equations
• Sur la généralisation de la notion de commande d'un système guidable
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Relaxation of optimal control problems in L^p-SPACES