Nonlinear Optimal Control Problems for Parabolic Equations

DOI10.1137/0322051zbMath0551.49003OpenAlexW2020881082MaRDI QIDQ3344746

Avner Friedman

Publication date: 1984

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0322051

zbMATH Keywords

nonlinear parabolic control problemcontrol in the diffusion coefficient

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

Optimal control of the heat equation in an inhomogeneous body. ⋮ Optimal feedback for perturbed bilinear control problems ⋮ Optimal control of nonlinear evolution systems in the case where the solution is not differentiable with respect to the control ⋮ Optimal control of a singular evolution equation with a nonsmooth operator and fixed terminal state ⋮ Optimal damping control and nonlinear parabolic systemes ⋮ A bilinear control problem solved by the fractional step scheme ⋮ A dynamic theory of spatial externalities ⋮ Optimal control for the dam problem

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