Graduated from Faculty of Mathematics and Mechanics of Leningrad State University (LGU) in 1990 (department of mathematical physics). Ph. D. thesis (advisor prof. N. N. Uraltseva) was defended in St. Petersburg State University in 1993. My List of publications contains 32 titles.
Main publications:
Apushkinskaya D. E., Nazarov A. I. Linear two-phase Venttsel problems // Ark. Mat., 2001,39(2), 201–222.
D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii, N. N. Ural'tseva, “A survey of results of st.petersburg state university research school on nonlinear partial differential equations i”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024), 3–37
2023
2.
D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev, L. G. Softova, “Nonstationary venttsel problem with $VMO_x$ leading coefficients”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023), 13–17; Dokl. Math., 107:2 (2023), 97–100
D. E. Apushkinskaya, A. I. Nazarov, D. K. Palagachev, L. G. Softova, “The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients”, Funktsional. Anal. i Prilozhen., 57:2 (2023), 93–99; Funct. Anal. Appl., 57:2 (2023), 158–163
A. S. Markov, E. Yu. Kotlyarov, N. P. Anosova, V. A. Popov, I. Karandashev, D. E. Apushkinskaya, “Using neural networks to detect anomalies in X-ray images obtained with full-body scanners”, Avtomat. i Telemekh., 2022, no. 10, 23–34; Autom. Remote Control, 83:10 (2022), 1507–1516
D. E. Apushkinskaya, G. G. Lazareva, V. A. Okishev, “Influence of numerical diffusion on the growth rate of viscous fingers in the numerical implementation of the Peaceman model by the finite volume method”, CMFD, 68:4 (2022), 553–563
6.
D. E. Apushkinskaya, A. I. Nazarov, “The normal derivative lemma and surrounding issues”, Uspekhi Mat. Nauk, 77:2(464) (2022), 3–68; Russian Math. Surveys, 77:2 (2022), 189–249
D. E. Apushkinskaya, G. G. Lazareva, “Algorithm for the numerical solution of the Stefan problem and its application to calculations of the temperature of tungsten under impulse action”, CMFD, 67:3 (2021), 442–454
D. E. Apushkinskaya, N. N. Uraltseva, “Uniform estimates near the initial state for solutions of the two-phase parabolic problem”, Algebra i Analiz, 25:2 (2013), 63–74; St. Petersburg Math. J., 25:2 (2014), 195–203
D. E. Apushkinskaya, N. N. Ural'tseva, H. Shahgholian, “On the Lipschitz property of the free boundary in a parabolic problem with obstacle”, Algebra i Analiz, 15:3 (2003), 78–103; St. Petersburg Math. J., 15:3 (2004), 375–391
D. E. Apushkinskaya, N. N. Ural'tseva, H. Shahgholian, “On the global solutions of the parabolic obstacle problem”, Algebra i Analiz, 14:1 (2002), 3–25; St. Petersburg Math. J., 14:1 (2003), 1–17
D. E. Apushkinskaya, A. I. Nazarov, “The elliptic Dirichlet problem in weight spaces”, Zap. Nauchn. Sem. POMI, 288 (2002), 14–33; J. Math. Sci. (N. Y.), 123:6 (2004), 4527–4538
D. E. Apushkinskaya, H. Shahgholian, N. N. Ural'tseva, “Boundary estimates for solutions to the parabolic free boundary problem”, Zap. Nauchn. Sem. POMI, 271 (2000), 39–55; J. Math. Sci. (N. Y.), 115:6 (2003), 2720–2730
D. E. Apushkinskaya, A. I. Nazarov, “Quasilinear two-phase Venttsel problems”, Zap. Nauchn. Sem. POMI, 271 (2000), 11–38; J. Math. Sci. (N. Y.), 115:6 (2003), 2704–2719
D. E. Apushkinskaya, A. I. Nazarov, “On the quasilinear stationary Ventzel boundary-value problem”, Zap. Nauchn. Sem. POMI, 221 (1995), 20–29; J. Math. Sci. (New York), 87:2 (1997), 3277–3283
D. E. Apushkinskaya, N. N. Uraltseva, “On the behavior of free boundaries near the boundary of the domain”, Zap. Nauchn. Sem. POMI, 221 (1995), 5–19; J. Math. Sci. (New York), 87:2 (1997), 3267–3276
D. E. Apushkinskaya, A. I. Nazarov, “An initial-boundary value problem with a Venttsel' boundary condition for parabolic equations not in divergence form”, Algebra i Analiz, 6:6 (1994), 1–29; St. Petersburg Math. J., 6:6 (1995), 1127–1149
D. E. Apushkinskaya, A. I. Nazarov, “75 years of the V. I. Smirnov seminar”, Zap. Nauchn. Sem. POMI, 519 (2022), 5–9
2021
19.
A. I. Aptekarev, D. E. Apushkinskaya, O. V. Besov, V. I. Burenkov, V. V. Vlasov, R. V. Gamkrelidze, M. L. Gol'dman, G. V. Demidenko, V. G. Zadorozhniy, V. V. Kozlov, G. G. Lazareva, S. P. Novikov, V. M. Savchin, V. A. Sadovnichii, A. L. Skubachevskii, A. P. Soldatov, D. V. Treschev, M. A. Ragusa, H.-O. Walther, “Vladimir Mikhailovich Filippov”, CMFD, 67:3 (2021), 423–426
D. E. Apushkinskaya, A. I. Nazarov, “Preface”, Algebra i Analiz, 32:3 (2020), 3
2018
21.
D. E. Apushkinskaya, A. I. Nazarov, ““Keep the traces of Man in the sand of time!” (V. I. Smirnov)”, Algebra i Analiz, 30:2 (2018), 3–17; St. Petersburg Math. J., 30:2 (2019), 149–160
D. E. Apushkinskaya, A. I. Nazarov, “Nina Nikolaevna Ural'tseva”, Algebra i Analiz, 27:3 (2015), 3–5; St. Petersburg Math. J., 27:3 (2016), 345–346
Presentations in Math-Net.Ru
1.
Апостериорные оценки ошибок в начально-краевой задаче для уравнения «реакция-диффузия» D. E. Apushkinskaya VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 15, 2023 15:55
2.
Venttsel problems with discontinuous data D. E. Apushkinskaya International Scientific Conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis - 2023 (OTHA-2023)" August 22, 2023 10:30
When Hopf’s lemma remains valid? D. E. Apushkinskaya Joint Mathematical seminar of Saint Petersburg State University and Peking University October 22, 2020 16:00
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