Birman M. Sh., Suslina T. A., Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics, Operator Theory: Advances and Applications, 2001, 129, 71-107.
M. A. Dorodnyi, T. A. Suslina, “Threshold approximations for functions of a factorized operator family”, Algebra i Analiz, 36:1 (2024), 95–161
2.
T. A. Suslina, “Homogenization of elliptic and parabolic equations with periodic coefficients in a bounded domain under the Neumann condition”, Izv. RAN. Ser. Mat., 88:4 (2024), 84–167; Izv. Math., 88:4 (2024), 678–759
2023
3.
T. A. Suslina, “Threshold approximations for the exponential of a factorized operator family with correctors taken into account”, Algebra i Analiz, 35:3 (2023), 138–184
V. A. Sloushch, T. A. Suslina, “Operator estimates for homogenization of higher-order elliptic operators with periodic coefficients”, Algebra i Analiz, 35:2 (2023), 107–173; St. Petersburg Math. J., 35:2 (2024), 327–375
M. A. Dorodnyi, T. A. Suslina, “Homogenization of hyperbolic equations: operator estimates with correctors taken into account”, Funktsional. Anal. i Prilozhen., 57:4 (2023), 123–129; Funct. Anal. Appl., 57:4 (2023), 364–370
T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Uspekhi Mat. Nauk, 78:6(474) (2023), 47–178; Russian Math. Surveys, 78:6 (2023), 1023–1154
A. A. Raev, V. A. Sloushch, T. A. Suslina, “Homogenization of a one-dimensional fourth-order periodic operator with a singular potential”, Zap. Nauchn. Sem. POMI, 521 (2023), 212–239
2022
8.
T. A. Suslina, “Homogenization of the Schrödinger-type equations: operator estimates with correctors”, Funktsional. Anal. i Prilozhen., 56:3 (2022), 93–99; Funct. Anal. Appl., 56:3 (2022), 229–234
A. A. Mishulovich, V. A. Sloushch, T. A. Suslina, “Homogenization of a one-dimensional periodic elliptic operator at the edge of a spectral gap: operator estimates in the energy norm”, Zap. Nauchn. Sem. POMI, 519 (2022), 114–151
V. A. Sloushch, T. A. Suslina, “Threshold approximations for the resolvent of a polynomial nonnegative operator pencil”, Algebra i Analiz, 33:2 (2021), 233–274; St. Petersburg Math. J., 33:2 (2022), 355–385
M. A. Dorodnyi, T. A. Suslina, “Homogenization of nonstationary Maxwell system with constant magnetic permeability”, Funktsional. Anal. i Prilozhen., 55:2 (2021), 100–106; Funct. Anal. Appl., 55:2 (2021), 159–164
14.
V. È. Petrov, T. A. Suslina, “Regularity of the Solution of the Prandtl Equation”, Mat. Zametki, 110:4 (2021), 550–568; Math. Notes, 110:4 (2021), 543–559
M. A. Dorodnyi, T. A. Suslina, “Homogenization of the hyperbolic equations with periodic coefficients in ${\mathbb R}^d$: Sharpness of the results”, Algebra i Analiz, 32:4 (2020), 3–136; St. Petersburg Math. J., 32:4 (2021), 605–703
V. A. Sloushch, T. A. Suslina, “Homogenization of the Fourth-Order Elliptic Operator with Periodic Coefficients with Correctors Taken into Account”, Funktsional. Anal. i Prilozhen., 54:3 (2020), 94–99; Funct. Anal. Appl., 54:3 (2020), 224–228
M. Dorodnyi, T. A. Suslina, “Operator error estimates for homogenization of hyperbolic equations”, Funktsional. Anal. i Prilozhen., 54:1 (2020), 69–74; Funct. Anal. Appl., 54:1 (2020), 53–58
T. A. Suslina, “On homogenization of the stationary periodic Maxwell system in a bounded domain”, Funktsional. Anal. i Prilozhen., 53:1 (2019), 88–92
19.
S. L. Yakovlev, I. V. Andronov, T. A. Suslina, A. A. Fedotov, A. R. Its, A. K. Motovilov, V. G. Farafonov, A. Ya. Kazakov, “To the memory of Sergei Yur'evich Slavyanov”, TMF, 201:2 (2019), 151–152; Theoret. and Math. Phys., 201:2 (2019), 1543–1544
2018
20.
T. A. Suslina, “Homogenization of a stationary periodic Maxwell system in a bounded domain with constant magnetic permeability”, Algebra i Analiz, 30:3 (2018), 169–209; St. Petersburg Math. J., 30:3 (2019), 515–544
Yu. M. Meshkova, T. A. Suslina, “Homogenization of the first initial boundary value problem for parabolic systems: Operator error estimates”, Algebra i Analiz, 29:6 (2017), 99–158; St. Petersburg Math. J., 29:6 (2018), 935–978
T. A. Suslina, “Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients”, Algebra i Analiz, 29:2 (2017), 139–192; St. Petersburg Math. J., 29:2 (2018), 325–362
Yu. M. Meshkova, T. A. Suslina, “Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients”, Funktsional. Anal. i Prilozhen., 51:3 (2017), 87–93; Funct. Anal. Appl., 51:3 (2017), 230–235
M. Dorodnyi, T. A. Suslina, “Homogenization of a Nonstationary Model Equation
of Electrodynamics”, Mat. Zametki, 102:5 (2017), 700–720; Math. Notes, 102:5 (2017), 645–663
A. A. Kukushkin, T. A. Suslina, “Homogenization of high order elliptic operators with periodic coefficients”, Algebra i Analiz, 28:1 (2016), 89–149; St. Petersburg Math. J., 28:1 (2017), 65–108
M. Dorodnyi, T. A. Suslina, “Homogenization of Hyperbolic Equations”, Funktsional. Anal. i Prilozhen., 50:4 (2016), 91–96; Funct. Anal. Appl., 50:4 (2016), 319–324
T. A. Suslina, “Homogenization of Schrödinger-Type equations”, Funktsional. Anal. i Prilozhen., 50:3 (2016), 90–96; Funct. Anal. Appl., 50:3 (2016), 241–246
T. A. Suslina, “Homogenization of elliptic operators with periodic coefficients depending on the spectral parameter”, Algebra i Analiz, 27:4 (2015), 87–166; St. Petersburg Math. J., 27:4 (2016), 651–708
Yu. M. Meshkova, T. A. Suslina, “Homogenization of Solutions of Initial Boundary Value Problems for Parabolic Systems”, Funktsional. Anal. i Prilozhen., 49:1 (2015), 88–93; Funct. Anal. Appl., 49:1 (2015), 72–76
T. A. Suslina, “Homogenization of elliptic systems with periodic coefficients: operator error estimates in $L_2(\mathbb R^d)$ with corrector taken into account”, Algebra i Analiz, 26:4 (2014), 195–263; St. Petersburg Math. J., 26:4 (2015), 643–693
T. A. Suslina, “Homogenization of Elliptic Problems Depending on a Spectral Parameter”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 88–94; Funct. Anal. Appl., 48:4 (2014), 309–313
T. A. Suslina, “Approximation of the resolvent of a twoparametric quadratic operator pencil near the bottom of the spectrum”, Algebra i Analiz, 25:5 (2013), 221–251; St. Petersburg Math. J., 25:5 (2014), 869–891
M. A. Pakhnin, T. A. Suslina, “Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain”, Algebra i Analiz, 24:6 (2012), 139–177; St. Petersburg Math. J., 24:6 (2013), 949–976
E. S. Vasilevskaya, T. A. Suslina, “Homogenization of parabolic and elliptic periodic operators in $L_2(\mathbb R^d)$ with the first and second correctors taken into account”, Algebra i Analiz, 24:2 (2012), 1–103; St. Petersburg Math. J., 24:2 (2013), 185–261
T. A. Suslina, “Operator Error Estimates in $L_2$ for Homogenization of an Elliptic Dirichlet Problem”, Funktsional. Anal. i Prilozhen., 46:3 (2012), 91–96; Funct. Anal. Appl., 46:3 (2012), 234–238
M. A. Pakhnin, T. A. Suslina, “Homogenization of the Elliptic Dirichlet Problem: Error Estimates in the $(L_2\to H^1)$-Norm”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 92–96; Funct. Anal. Appl., 46:2 (2012), 155–159
E. S. Vasilevskaya, T. A. Suslina, “Threshold approximations of a factorized selfadjoint operator family with the first and the second correctors taken into account”, Algebra i Analiz, 23:2 (2011), 102–146; St. Petersburg Math. J., 23:2 (2012), 275–308
M. Z. Solomyak, T. A. Suslina, D. R. Yafaev, “On the mathematical works of M. Sh. Birman”, Algebra i Analiz, 23:1 (2011), 5–60; St. Petersburg Math. J., 23:1 (2012), 1–38
T. A. Suslina, “Homogenization in Sobolev class $H^1(\mathbb R^d)$ for periodic elliptic second order differential operators including first order terms”, Algebra i Analiz, 22:1 (2010), 108–222; St. Petersburg Math. J., 22:1 (2011), 81–162
T. A. Suslina, “Homogenization of the Parabolic Cauchy Problem in the Sobolev Class $H^1(\mathbb{R}^d)$”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 91–96; Funct. Anal. Appl., 44:4 (2010), 318–322
M. Sh. Birman, T. A. Suslina, “Operator error estimates in the homogenization problem for nonstationary periodic equations”, Algebra i Analiz, 20:6 (2008), 30–107; St. Petersburg Math. J., 20:6 (2009), 873–928
M. S. Birman, T. A. Suslina, “The Limit Absorption Principle and Homogenization Procedure for Periodic Elliptic Operators”, Funktsional. Anal. i Prilozhen., 42:4 (2008), 105–108; Funct. Anal. Appl., 42:4 (2008), 336–339
T. A. Suslina, “Homogenization with corrector for a stationary periodic Maxwell system”, Algebra i Analiz, 19:3 (2007), 183–235; St. Petersburg Math. J., 19:3 (2008), 455–494
M. Sh. Birman, T. A. Suslina, “Homogenization of the Stationary Periodic Maxwell System in the Case of Constant Permeability”, Funktsional. Anal. i Prilozhen., 41:2 (2007), 3–23; Funct. Anal. Appl., 41:2 (2007), 81–98
M. Sh. Birman, T. A. Suslina, “Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1(\mathbb R^d)$”, Algebra i Analiz, 18:6 (2006), 1–130; St. Petersburg Math. J., 18:6 (2007), 857–955
M. Sh. Birman, T. A. Suslina, “Averaging of periodic elliptic differential operators with the account of a corrector”, Algebra i Analiz, 17:6 (2005), 1–104; St. Petersburg Math. J., 17:6 (2006), 897–973
M. Sh. Birman, T. A. Suslina, “Threshold approximations for the resolvent of a factoried selfadjoint family with corrector”, Algebra i Analiz, 17:5 (2005), 69–90; St. Petersburg Math. J., 17:5 (2006), 745–762
T. A. Suslina, “Averaging of the stationary periodic Maxwell system”, Algebra i Analiz, 16:5 (2004), 162–244; St. Petersburg Math. J., 16:5 (2005), 863–922
T. A. Suslina, “On averaging of periodic elliptic operators in a strip domain”, Algebra i Analiz, 16:1 (2004), 269–292; St. Petersburg Math. J., 16:1 (2005), 237–257
T. A. Suslina, “On the Homogenization of the Periodic Maxwell System”, Funktsional. Anal. i Prilozhen., 38:3 (2004), 90–94; Funct. Anal. Appl., 38:3 (2004), 234–237
M. Sh. Birman, T. A. Suslina, “Homogenization of a multidimensional periodic elliptic operator in a neighbourhood of the edge of the internal gap”, Zap. Nauchn. Sem. POMI, 318 (2004), 60–74; J. Math. Sci. (N. Y.), 136:2 (2006), 3682–3690
M. Sh. Birman, T. A. Suslina, “Periodic differential operators of second order. Threshold properties and averagings”, Algebra i Analiz, 15:5 (2003), 1–108; St. Petersburg Math. J., 15:5 (2004), 639–714
T. A. Suslina, “Descrete spectrum of the two-dimensional periodic second order elliptic operator perturbed by a decaying potential. II. Internal gaps”, Algebra i Analiz, 15:2 (2003), 128–189; St. Petersburg Math. J., 15:2 (2004), 249–287
T. A. Suslina, R. G. Shterenberg, “Absolute continuity of the spectrum of the magnetic Schrödinger operator with a metric in a two-dimensional periodic waveguide”, Algebra i Analiz, 14:2 (2002), 159–206; St. Petersburg Math. J., 14:2 (2003), 305–343
T. A. Suslina, “Absolute continuity of the spectrum of the periodic Maxwell operator in a layer”, Zap. Nauchn. Sem. POMI, 288 (2002), 232–255; J. Math. Sci. (N. Y.), 123:6 (2004), 5654–4667
T. A. Suslina, R. G. Shterenberg, “Absolute continuity of the spectrum for the Schrödinger operator with potential supported by a periodic system of hypersurfaces”, Algebra i Analiz, 13:5 (2001), 197–240; St. Petersburg Math. J., 13:5 (2002), 859–891
M. Sh. Birman, T. A. Suslina, R. G. Shterenberg, “Absolute continuity of the two-dimensional Schrödinger operator with delta potential concentrated on a periodic system of curves”, Algebra i Analiz, 12:6 (2000), 140–177; St. Petersburg Math. J., 12:6 (2001), 983–1012
M. Sh. Birman, A. Laptev, T. A. Suslina, “The discrete spectrum of a two-dimensional second-order periodic elliptic operator perturbed by a decreasing potential. I. A semi-infinite gap”, Algebra i Analiz, 12:4 (2000), 36–78; St. Petersburg Math. J., 12:4 (2001), 535–567
M. Sh. Birman, T. A. Suslina, “A periodic magnetic Hamiltonian with a variable metric. The problem of absolute continuity”, Algebra i Analiz, 11:2 (1999), 1–40; St. Petersburg Math. J., 11:2 (2000), 203–232
M. Sh. Birman, T. A. Suslina, “Absolute continuity of a two-dimensional periodic magnetic Hamiltonian with discontinuous vector potential”, Algebra i Analiz, 10:4 (1998), 1–36; St. Petersburg Math. J., 10:4 (1999), 579–601
M. Sh. Birman, T. A. Suslina, “The two-dimensional periodic magnetic Hamiltonian is absolutely continuous”, Algebra i Analiz, 9:1 (1997), 32–48; St. Petersburg Math. J., 9:1 (1998), 21–32
T. A. Suslina, “Spectral Asymptotics of Variational Problems with Pseudodifferential Constraints”, Funktsional. Anal. i Prilozhen., 29:1 (1995), 41–55; Funct. Anal. Appl., 29:1 (1995), 32–43
1986
64.
T. A. Suslina, “On the asymptotics of the spectrum for some problems, connected with oscillations of liquids”, Zap. Nauchn. Sem. LOMI, 152 (1986), 158–164
T. A. Suslina, “Asymptotics of the spectrum for variational problems on the solutions of elliptic equation in the domain with piecewise smooth boundary”, Zap. Nauchn. Sem. LOMI, 147 (1985), 179–183
A. I. Nazarov, F. V. Petrov, T. A. Suslina, “Preface”, Algebra i Analiz, 36:1 (2024), 3–6
2021
67.
A. P. Kiselev, T. A. Suslina, “Preface”, Algebra i Analiz, 33:2 (2021), 3–4
68.
V. I. Voytitsky, M. A. Muratov, Yu. S. Pashkova, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, “In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human”, CMFD, 67:2 (2021), 193–207
69.
M. I. Belishev, S. Yu. Dobrokhotov, I. A. Ibragimov, A. P. Kiselev, S. V. Kislyakov, M. A. Lyalinov, Yu. V. Matiyasevich, V. G. Romanov, V. P. Smyshlyaev, T. A. Suslina, N. N. Ural'tseva, “Vasilii Mikhailovich Babich (on his ninetieth birthday)”, Uspekhi Mat. Nauk, 76:1(457) (2021), 201–202; Russian Math. Surveys, 76:1 (2021), 193–194
2020
70.
O. V. Anashkin, E. M. Varfolomeev, V. I. Voytitsky, V. I. Donskoy, D. A. Zakora, A. B. Muravnik, M. A. Muratov, Yu. S. Pashkova, V. È. Petrov, E. V. Plokhaya, A. L. Skubachevskii, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, V. N. Chekhov, A. A. Shkalikov, A. I. Yakovlev, “Nikolay Dmitrievich Kopachevsky. March 25, 1940 — May 18, 2020”, CMFD, 66:2 (2020), 157–159
2018
71.
B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Uspekhi Mat. Nauk, 73:1(439) (2018), 173–178; Russian Math. Surveys, 73:1 (2018), 161–167
2017
72.
A. M. Vershik, E. D. Gluskin, V. A. Kozlov, A. A. Laptev, B. M. Makarov, B. S. Mityagin, P. Nevai, G. V. Rozenblum, T. A. Suslina, N. N. Ural'tseva, D. R. Yafaev, “Mikhail Zakharovich Solomyak (obituary)”, Uspekhi Mat. Nauk, 72:5(437) (2017), 181–186; Russian Math. Surveys, 72:5 (2017), 955–961
2014
73.
V. M. Babich, A. R. Its, V. A. Marchenko, L. A. Pastur, B. A. Plamenevskii, T. A. Suslina, L. D. Faddeev, A. A. Fedotov, N. N. Ural'tseva, “Vladimir Savel'evich Buslaev (obituary)”, Uspekhi Mat. Nauk, 69:1(415) (2014), 163–168; Russian Math. Surveys, 69:1 (2014), 153–158
2010
74.
V. M. Babich, V. S. Buslaev, A. M. Vershik, S. G. Gindikin, S. V. Kislyakov, A. A. Laptev, V. A. Marchenko, N. K. Nikol'skii, L. A. Pastur, B. A. Plamenevskii, M. Z. Solomyak, T. A. Suslina, N. N. Ural'tseva, L. D. Faddeev, V. P. Khavin, D. R. Yafaev, “Mikhail Shlemovich Birman (obituary)”, Uspekhi Mat. Nauk, 65:3(393) (2010), 185–190; Russian Math. Surveys, 65:3 (2010), 569–575
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