Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives
- Авторлар: Lubyshev F.V.1, Fairuzov M.E.1
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Мекемелер:
- Bashkir State University
- Шығарылым: Том 56, № 7 (2016)
- Беттер: 1238-1263
- Бөлім: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178556
- DOI: https://doi.org/10.1134/S0965542516070125
- ID: 178556
Дәйексөз келтіру
Аннотация
Mathematical formulations of nonlinear optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with controls in the coefficients multiplying the highest derivatives are studied. Finite difference approximations of optimization problems are constructed, and the approximation error is estimated with respect to the state and the cost functional. Weak convergence of the approximations with respect to the control is proved. The approximations are regularized in the sense of Tikhonov.
Авторлар туралы
F. Lubyshev
Bashkir State University
Email: fairuzovme@mail.ru
Ресей, ul. Zaki Validi 32, Ufa, Bashkortostan, 450074
M. Fairuzov
Bashkir State University
Хат алмасуға жауапты Автор.
Email: fairuzovme@mail.ru
Ресей, ul. Zaki Validi 32, Ufa, Bashkortostan, 450074
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