Dual regularization and Pontryagin's maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals

M. I. Sumin

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 1, pp. 229-244

Résumé

A problem of optimal boundary control is considered for a`divergent linear parabolic equation. Equality constraints of the problem are given by nondifferentiable functionals. A dual regularization algorithm stable to errors in initial data is constructed for solving the problem. Pontryagins maximum principle plays the key role in this algorithm.

Détail

Keywords: duality, regularization, optimal boundary control, nondifferentiable functional, maximum principle.

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