Abstract:
This article studies a mixed control problem for Sobolev-type equations in the case of
a relatively radial operator. We use the Showalter Sidorov initial condition. The di erence
in the statement of our problem from those studied previously by other researchers amounts
to the form of the quality functional, which, in the authors' opinion, is more adequate to model applications in economics and technology. We prove an existence and uniqueness
theorem for the solution to this problem.
Description:
A.V. Keller, South Ural State University, Chelyabinsk, Russian Federation,
alevtinak@inbox.ru,
A.A. Ebel, South Ural State University, Chelyabinsk, Russian Federation, ebel@mail.ru
