Optimal Control of Nonlinear Evolution Systems in the Case where the Solution is not Differentiable with Respect to the Control

S. Ya. Serovaǐskiǐ

Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 586-603.

Résumé

For the simplest heat equation with power nonlinearity, the dependence of the solution of the corresponding boundary-value problem on the constant term of the equation turns out to be, in general, not differentiable in the sense of Gâteaux.

Détail

Keywords: optimal control, nonlinear evolution system, heat equation with power nonlinearity, Gâteaux differentiability, Lagrange optimality principle.

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