On the uniqueness and stability of solutions to the control problems for the electron drift-diffusion model

被引：0

作者：

Brizitskii, R. V. ^{[1
]}

Maksimova, N. N. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Inst Appl Math, Far East Branch, Ul Radio 7, Vladivostok 690041, Russia

[2] Amur State Univ, Dept Math Anal & Modeling, Ignatyevskoye Shosse 21, Blagoveshchensk 675027, Russia

[3] Amur State Univ, Lab Math Modeling Complex Phys & Biol Syst, Ignatyevskoye Shosse 21, Blagoveshchensk 675027, Russia

来源：

VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI | 2025年 / 35卷 / 01期

关键词：

optimality system; uniqueness of the optimal solution; electron drift-diffusion model; polar inhomogeneous dielectric charging model; control problem; local stability estimates; CHARGING PROCESSES; FERROELECTRICS; SIMULATION; HEAT; SEM;

D O I：

10.35634/vm250102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The issues of uniqueness and stability of solutions to the control problems for the model of electron-induced charging of an inhomogeneous polar dielectric are studied. Sufficient conditions for the uniqueness and stability of optimal solutions to the considered extremum problems are established, and the local estimates of their stability with respect to small perturbations of the cost functionals are derived.

引用

页码：27 / 46

页数：20

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