Geodesic
On the uniqueness and stability of solutions to the control problems for the electron drift-diffusion model
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 35 (2025) no. 1, pp. 27-46

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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.
Keywords: electron drift-diffusion model, polar inhomogeneous dielectric charging model, control problem, optimality system, uniqueness of the optimal solution, local stability estimates 
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     title = {On the uniqueness and stability of solutions to the control problems for the electron drift-diffusion model},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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     number = {1},
     year = {2025},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2025_35_1_a1/}
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R. V. Brizitskii; N. N. Maksimova. On the uniqueness and stability of solutions to the control problems for the electron drift-diffusion model. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 35 (2025) no. 1, pp. 27-46. http://geodesic.mathdoc.fr/item/VUU_2025_35_1_a1/