Distributed control problems for a class of degenerate semilinear evolution equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:312

Article; Proceedings Paper

Plekhanova, M. V.^1,2 

[1] Chelyabinsk State Univ, Chelyabinsk, Russia

[2] South Ural State Univ, Chelyabinsk, Russia

关键词: Control problem;    Distributed control system;    Semilinear degenerate evolution equation;    Cauchy problem;    Strong solution;    Initial-boundary value problem;   

DOI  :  10.1016/j.cam.2015.09.034

来源: Elsevier

【 摘 要 】

The unique solvability in the sense of strong solution of initial problems for a class of semilinear first order differential equations in Banach spaces with degenerate operator at the derivative is studied. It allows to prove the existence of a solution for the optimal control problem to systems, described by these initial problems. Abstract results are illustrated by the examples of degenerate systems of partial differential equations not solvable with respect to the time derivatives and of optimal control problems for them. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free