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Matematicheskie Zametki, 2013, Volume 93, Issue 4, Pages 586–603
DOI: https://doi.org/10.4213/mzm4048 (Mi mzm4048) 		 
Optimal Control of Nonlinear Evolution Systems in the Case where the Solution is not Differentiable with Respect to the Control

S. Ya. Serovaĭskiĭ

Almaty, Kazakhstan
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DOI: https://doi.org/10.4213/mzm4048
Abstract: 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.
Keywords: optimal control, nonlinear evolution system, heat equation with power nonlinearity, Gâteaux differentiability, Lagrange optimality principle.
Received: 29.02.2012
Revised: 11.09.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 4, Pages 593–606
DOI: https://doi.org/10.1134/S0001434613030280
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: S. Ya. Serovaǐskiǐ, “Optimal Control of Nonlinear Evolution Systems in the Case where the Solution is not Differentiable with Respect to the Control”, Mat. Zametki, 93:4 (2013), 586–603; Math. Notes, 93:4 (2013), 593–606
Citation in format AMSBIB
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