Geodesic
Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 59-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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The present paper is devoted to the study of the asymptotic behavior of the optimal control for the boundary value problem in an $\varepsilon$-periodically perforated domain with linear Robin-type boundary condition, when the period of the structure tends to zero, and the problem parameters, diameter of perforations and adsorption coefficient, take critical values.
Keywords: homogenization, perforated domain, critical case, optimal control
Mots-clés : “strange” term. 
@article{DANMA_2020_495_a12,
     author = {A. V. Podolskii and T. A. Shaposhnikova},
     title = {Optimal control and {\textquotedblleft}strange{\textquotedblright} term arising from homogenization of the {Poisson} equation in the perforated domain with the {Robin-type} boundary condition in the critical case},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {59--64},
     year = {2020},
     volume = {495},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_495_a12/}
}
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A. V. Podolskii; T. A. Shaposhnikova. Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 59-64. http://geodesic.mathdoc.fr/item/DANMA_2020_495_a12/

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