Dirichlet boundary control of semilinear parabolic equations. II: Problems with pointwise state constraints
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Publication:1599461
DOI10.1007/s00245-001-0036-4zbMath1037.49023OpenAlexW2029606802MaRDI QIDQ1599461
Jean-Pierre Raymond, Nadir Arada
Publication date: 10 June 2002
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-001-0036-4
Pontryagin's maximum principlesemilinear parabolic equationspointwise state constraintsStone-Čech compactificationDirichlet boundary control
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Lipschitz stability of solutions to some state-constrained elliptic optimal control problems ⋮ Necessary optimality conditions for infinite dimensional state constrained control problems ⋮ On the geometry of the Pontryagin maximum principle in Banach spaces ⋮ Iterative method for solving parabolic linear-quadratic optimal control problem with constraints on the time derivative of the state ⋮ Analysis and optimal control of some quasilinear parabolic equations ⋮ A Priori Error Estimates for a Finite Element Discretization of Parabolic Optimization Problems with Pointwise Constraints in Time on Mean Values of the Gradient of the State
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