We prove the well-posed solvability of a problem with skew derivative under an integral nonlocal condition on a time variable for uniformly parabolic linear equations in Hรถlder spaces. Besides, we estimate solutions of the problem in the corresponding spaces. We consider also a problem of choice of an optimal control for a system which is described by a nonlocal problem with skew derivative and with bounded interior and boundary control. The quality functional is given by a volume integral.
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- ACS Style
- Dovzhytska, I.M.; Pukalskyi, I. Nonlocal oblique derivative problem and optimal control problem for linear parabolic equations. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Dovzhytska IM, Pukalskyi I. Nonlocal oblique derivative problem and optimal control problem for linear parabolic equations. Bukovinian Mathematical Journal. 2018; 1(349).
- Chicago/Turabian Style
- Iryna Mykhailivna Dovzhytska, Ivan Pukalskyi. 2018. "Nonlocal oblique derivative problem and optimal control problem for linear parabolic equations". Bukovinian Mathematical Journal. 1 no. 349.