Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (4)
- Authors
- Alekseev, Gennady V.; Brizitskii, Roman V.
- Contact information
- Alekseev, Gennady V.: Institute of Applied Mathematics FEB RAS Vladivostok, Russian Federation; ; Brizitskii, Roman V.: Institute of Applied Mathematics FEB RAS Vladivostok, Russian Federation;
- Keywords
- nonlinear reaction–diffusion–convection equation; mixed boundary conditions; maximum principle; control problems; optimality systems; local stability estimates
- Abstract
The global solvability of the inhomogeneous mixed boundary value problem and control problems for the reaction–diffusion–convection equation are proved in the case when the reaction coefficient nonlinearly depends on the concentration. The maximum and minimum principles are established for the solution of the boundary value problem. The optimality systems are derived and the local stability estimates of optimal solutions are established for control problems with specific reaction coefficients
- Pages
- 452–462
- DOI
- 10.17516/1997-1397-2021-14-4-452-462
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/141719
Journal of Siberian Federal University. Mathematics & Physics / Analysis of the Boundary Value and Control Problems for Nonlinear Reaction–Diffusion–Convection Equation
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