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Ufa Mathematical Journal, 2016, Volume 8, Issue 1, Pages 79–96
DOI: https://doi.org/10.13108/2016-8-1-79 (Mi ufa317) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Frechèt differentiability of cost functional in optimal control of coefficients of elliptic equations

A. R. Manapova, F. V. Lubyshev

Bashkir State University, Z. Validi str., 32, 450074, Ufa, Russia
English full-text Citations (1)
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DOI: https://doi.org/10.13108/2016-8-1-79
Abstract: In the work we consider nonlinear optimal control problems for semi-linear elliptic equations with discontinuous data and solutions (states) with controls in the boundary conditions of conjugation of heterogeneous media and in the right hand side of the state equation. We prove the differentiability and Lipshitz continuity for the grid analogue of the cost functional for extremum problems.
Keywords: optimal control problem, semi-linear elliptic equations, cost functional, differentiability, Lipschitz continuity.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-4147.2015.1
The work is financially supported by the grant of the President of Russian Federation for state support of young Russian scientists-candidate of science (MK-4147.2015.1).
Received: 16.05.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 1, Pages 84–101
Bibliographic databases:
Document Type: Article
UDC: 519.626
MSC: 49J20, 35J61, 65N06
Language: English
Original paper language: Russian
Citation: A. R. Manapova, F. V. Lubyshev, “On Frechèt differentiability of cost functional in optimal control of coefficients of elliptic equations”, Ufimsk. Mat. Zh., 8:1 (2016), 84–101; Ufa Math. J., 8:1 (2016), 79–96
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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