A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems

We present a smooth, that is, differentiable regularization of the projection formula that occurs in constrained parabolic optimal control problems. We summarize the optimality conditions in function spaces for unconstrained and control-constrained problems subject to a class of parabolic partial di...

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Vydané v:	Numerical functional analysis and optimization Ročník 32; číslo 12; s. 1283 - 1315
Hlavní autori:	Neitzel, Ira, Prüfert, Uwe, Slawig, Thomas
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Taylor & Francis Group 01.12.2011 Taylor & Francis
Predmet:	Calculus of variations and optimal control Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical linear algebra Optimal PDE control Parabolic PDEs Partial differential equations Sciences and techniques of general use Smooth projection operator Numerical linear algebra Initial value problem Partial differential equation Implementation Discretization method Parabolic PDEs Regularization method Finite element method Projection operator Parabolic equation Numerical analysis Elliptic equation Boundary value problem Optimal control Smooth function Optimality condition Software Ill posed problem Regularization Optimal PDE control Smooth projection operator
ISSN:	0163-0563, 1532-2467
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