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Podolskii, Aleksandr Vadimovich

Candidate of physico-mathematical sciences (2015)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:

https://www.mathnet.ru/eng/person182370
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2025
1. A. V. Podolskii, T. A. Shaposhnikova, “Homogenization of an optimal control problem in an aperiodically perforated plane domain with control on the boundary of part of the inclusions: a critical case”, Mat. Zametki, 118:6 (2025),  900–913  mathnet
2024
2. J. I. Diaz, T. A. Shaposhnikova, A. V. Podolskii, “Aperiodical isoperimetric planar homogenization with critical diameter: universal non-local strange term for a dynamical unilateral boundary condition”, Dokl. RAN. Math. Inf. Proc. Upr., 515 (2024),  18–27  mathnet  elib; Dokl. Math., 109:1 (2024), 12–19
2022
3. A. V. Podolskiy, T. A. Shaposhnikova, “Homogenization of a parabolic equation in a perforated domain with a unilateral dynamic boundary condition: critical case”, CMFD, 68:4 (2022),  671–685  mathnet  mathscinet 2
4. J. I. Diaz, A. V. Podolskii, T. A. Shaposhnikova, “On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022),  11–18  mathnet  mathscinet  elib; Dokl. Math., 105:1 (2022), 6–13 5
2020
5. 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”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  59–64  mathnet  zmath  elib; Dokl. Math., 102:3 (2020), 497–501 8

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