一类带有弱连续算子的发展方程的最优控制

Abstract

Abstract:

In the paper we study an optimal control problem for a class of nonlinear evolutionary matrixs involving weakly continuous operators. By exploiting the Rothe method and using a surjectivity result for weakly continuous operators, we establish the solvability for the matrix. Then we show the existence of optimal state-control pairs for the optimal control problem. The main results are applied to non-stationary Navier-Stokes-Voigt matrix.

Key words: Evolutionary matrix, Optimal control, Weakly continuous operator, Navier-Stokes-Voigt matrix

CLC Number:

O175.29

Zeng Biao. Optimal Control for a Class of Nonlinear Evolutionary Equations with Weakly Continuous Operators[J].Acta mathematica scientia,Series A, 2023, 43(2): 515-530.

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References 41

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Optimal Control for a Class of Nonlinear Evolutionary Equations with Weakly Continuous Operators

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