Nonlocal boundary-value problem with degeneration and optimal control problem for linear parabolic equations. (Ukrainian, English) Zbl 1274.49010
Mat. Metody Fiz.-Mekh. Polya 54, No. 2, 23-35 (2011); translation in J. Math. Sci., New York 184, No. 1, 19-35 (2012).
The paper deals with a parabolic boundary-value problem with multi-point condition with respect to time variable for linear parabolic equation with power peculiarities on coordinate planes. The obtained result is used to investigate optimal control problem in the cases of internal and final control.
Reviewer: A. N. Chernienko (Kyïv)
MSC:
| 49J20 | Existence theories for optimal control problems involving partial differential equations |
| 49K20 | Optimality conditions for problems involving partial differential equations |
