Evgenii S. Baranovskii, Roman V. Brizitskii, Zhanna Yu. Saritskaia
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Multiplicative Control Problem for the Stationary Mass Transfer Model with Variable Coefficients
The global existence of a weak solution of a mixed boundary value problem for the stationary mass transfer equations with variable coefficients is proved. The maximum and minimum principle for the substance concentration is established. The solvability of a multiplicative control problem for the considered model is proved.
期刊介绍：
The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering.
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