Geodesic
Optimal multiplicative control of a semilinear parabolic equation
Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 2, pp. 270-277

Voir la notice de l'article provenant de la source Math-Net.Ru

An analysis of optimal control problems for a nonlinear parabolic initial-boundary value problem that models the dynamics of the collective behavior of a bacterial community is presented. Estimates for the solution of the initial-boundary value problem are obtained, the solvability of control problems is proved, and optimality conditions are derived. The weak «bang-bang» principle is set for the problem with the final observation. 
@article{DVMG_2023_23_2_a12,
     author = {A. Yu. Chebotarev},
     title = {Optimal multiplicative control of a semilinear parabolic equation},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {270--277},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2023_23_2_a12/}
}
TY  - JOUR
AU  - A. Yu. Chebotarev
TI  - Optimal multiplicative control of a semilinear parabolic equation
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2023
SP  - 270
EP  - 277
VL  - 23
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2023_23_2_a12/
LA  - ru
ID  - DVMG_2023_23_2_a12
ER  - 
%0 Journal Article
%A A. Yu. Chebotarev
%T Optimal multiplicative control of a semilinear parabolic equation
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2023
%P 270-277
%V 23
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2023_23_2_a12/
%G ru
%F DVMG_2023_23_2_a12
A. Yu. Chebotarev. Optimal multiplicative control of a semilinear parabolic equation. Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 2, pp. 270-277. http://geodesic.mathdoc.fr/item/DVMG_2023_23_2_a12/