Edit Profile (opens in new tab) Sakbaev, Vsevolod Zhanovich Co-Author Distance Author ID: sakbaev.vsevolod-zh Published as: Sakbaev, V. Zh.; Sakbaev, Vsevolod Zh.; Sakbaev, V. G.; Sakbaev, Vsevolod Zhanovich; Sakbaev, V. Z.; Sakbaev, V. J.; Sakbaev, V. more...less Further Spellings: Сакбаев Всеволод Жанович External Links: ORCID · ResearchGate · Math-Net.Ru Documents Indexed: 90 Publications since 1994, including 5 Additional arXiv Preprints Co-Authors: 45 Co-Authors with 62 Joint Publications 1,356 Co-Co-Authors all top 5 Co-Authors 28 single-authored 19 Smolyanov, Oleg Georgievich 18 Orlov, Yurii N. 5 Busovikov, Vladimir M. 5 Volovich, Igor’ Vasil’evich 4 Amosov, Grigoriĭ Gennad’evich 4 Zavadsky, D. V. 3 Efremova, Lyudmila S. 3 Gough, John E. 3 Kalmetev, R. Sh. 3 Shmidt, E. V. 3 Vlasov, Viktor Valentinovich 3 Zhidkov, Peter E. 2 Borisov, Leonid Andreevich 2 Grekhneva, A. D. 2 Shiryaeva, A. D. 2 Yaakbarieh, A. 1 Ageev, Oleg N. 1 Akbari Fallahi, A. 1 Bikchentaev, Aĭrat Midkhatovich 1 Glazatov, Vladimir Andreevich 1 Grigorchuk, Rostislav Ivanovich 1 Grines, Vyacheslav Zigmundovich 1 Gurevich, Boris 1 Helemskii, Alexander Ya. 1 Kashin, Boris Sergeevich 1 Kochergin, Andrey V. 1 Kolokoltsov, Vassili N. 1 Korobenko, L. V. 1 Lerman, Lev 1 Mykytyuk, Ihor V. 1 Oseledets, Valeriĭ Iustinovich 1 Pochinka, Ol’ga Vital’evna 1 Ryzhikov, Valeriĭ Valentinovich 1 Sergeev, Armen Glebovich 1 Shafarevich, Andreĭ Igorevich 1 Shamarov, Nikolaĭ Nikolaevich 1 Sinaĭ, Yakov Grigor’evich 1 Tagi-Zade, A. T. 1 Thouvenot, Jean-Paul 1 Tikhonov, Sergei Viktorovich 1 Tsoy, N. V. 1 Vorobets, Yaroslav 1 Weiss, Benjamin 1 Zamana, Konstantin Yur’evich 1 Zhirov, Aleksei Yu. all top 5 Serials 12 Lobachevskii Journal of Mathematics 11 Doklady Mathematics 10 Journal of Mathematical Sciences (New York) 9 Proceedings of the Steklov Institute of Mathematics 5 Mathematical Notes 5 Differential Equations 4 Theoretical and Mathematical Physics 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Russian Mathematics 3 International Journal of Theoretical Physics 3 Computational Mathematics and Mathematical Physics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Izvestiya: Mathematics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Russian Mathematical Surveys 1 Differential Equations 1 Journal of Physics A: Mathematical and General 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 41 Operator theory (47-XX) 39 Quantum theory (81-XX) 32 Partial differential equations (35-XX) 20 Functional analysis (46-XX) 14 Probability theory and stochastic processes (60-XX) 12 Measure and integration (28-XX) 8 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 356 times in 119 Documents Cited by ▼ Year ▼ Unbounded random operators and Feynman formulae. Zbl 1422.47049 Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G. 29 2016 Feynman formulas as a method of averaging random Hamiltonians. Zbl 1304.81082 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 28 2014 Averaging of random walks and shift-invariant measures on a Hilbert space. Zbl 1376.81023 Sakbaev, V. Zh. 25 2017 On the law of large numbers for compositions of independent random semigroups. Zbl 1459.47016 Sakbaev, V. Zh. 12 2016 Stochastic properties of degenerated quantum systems. Zbl 1191.35221 Sakbaev, Vsevolod Zh. 11 2010 Spectral aspects of regularization of the Cauchy problem for a degenerate equation. Zbl 1235.35180 Sakbaev, V. Zh. 11 2008 On quantum dynamics on \(C^\ast\)-algebras. Zbl 1400.81105 Volovich, I. V.; Sakbaev, V. Zh. 11 2018 Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086 Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N. 10 2014 Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation. Zbl 1291.35258 Sakbaev, V. Zh. 10 2013 Notion of blowup of the solution set of differential equations and averaging of random semigroups. Zbl 1336.35081 Efremova, L. S.; Sakbaev, V. Zh. 9 2015 Averaging of quantum dynamical semigroups. Zbl 1263.47055 Sakbaev, V. Zh. 9 2010 Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 9 2012 Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 8 2019 The set of quantum states and its averaged dynamic transformations. Zbl 1229.81078 Sakbaev, V. Zh. 7 2011 The correct solvability of some differential-difference equations in the scale of Sobolev spaces. Zbl 1257.34058 Vlasov, V. V.; Sakbaev, V. Zh. 7 2001 Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations. Zbl 1426.28027 Sakbaev, V. Zh. 7 2019 Dynamics of a quantum particle with discontinuous position-dependent mass. Zbl 1200.81054 Sakbaev, V. G.; Smolyanov, O. G. 7 2010 Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338 Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh. 7 2018 Set-valued mappings specified by regularization of the Schrödinger equation with degeneration. Zbl 1210.81029 Sakbaev, V. Zh. 6 2006 Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606 Sakbaev, V. Zh.; Volovich, I. V. 6 2017 Functionals on solutions of the Cauchy problem for the Schrödinger equation with degeneration on a half-line. Zbl 1136.35443 Sakbaev, V. Zh. 5 2004 Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683 Volovich, I. V.; Sakbaev, V. Zh. 5 2014 Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations. Zbl 1348.35214 Sakbaev, V. Zh. 5 2016 Well-posed initial problem for parabolic differential-difference equations with shifts of time argument. Zbl 1357.35173 Yaakbarieh, A.; Sakbaev, V. Zh. 5 2015 On the variational description of the trajectories of averaging quantum dynamical maps. Zbl 1251.81060 Sakbaev, V. Zh. 5 2012 Random quantization of Hamiltonian systems. Zbl 1494.47069 Gough, J.; Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 5 2021 Well-posedness of a problem with initial conditions for hyperbolic differential-difference equations with shifts in the time argument. Zbl 1347.35141 Akbari Fallahi, A.; Yaakbarieh, A.; Sakbaev, V. Zh. 5 2016 Chernoff equivalence for shift operators, generating coherent states in quantum optics. Zbl 1401.81095 Borisov, L. A.; Orlov, Y. N.; Sakbaev, V. J. 5 2018 Feynman formulas for nonlinear evolution equations. Zbl 1458.46030 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2017 On the Cauchy problem for the Schrödinger equation with generator of variable type. Zbl 1079.35031 Sakbaev, V. Zh. 4 2004 Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065 Sakbaev, V. Zh.; Smolyanov, O. G. 4 2012 Randomized Hamiltonian mechanics. Zbl 1428.81080 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2019 Stochastic processes on the group of orthogonal matrices and evolution equations describing them. Zbl 1466.60093 Zamana, K. Yu.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2020 Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups. Zbl 1461.46045 Busovikov, Vladimir M.; Sakbaev, Vsevolod Zh. 4 2020 Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure. Zbl 07174815 Zavadsky, D. V.; Sakbaev, V. Zh. 4 2019 Well-defined solvability of some differential-difference equations in Sobolev spaces. Zbl 1004.34070 Vlasov, V. V.; Sakbaev, V. Zh. 3 2000 On dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line. Zbl 1151.35417 Sakbaev, V. Zh. 3 2008 Approximation and variational methods for regularization of ill-posed problems. Zbl 1147.49031 Sakbaev, V. Zh. 3 2008 Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057 Amosov, G. G.; Sakbaev, V. Zh. 3 2016 Analogues of Feynman formulas for ill-posed problems associated with the Schrödinger equation. Zbl 1372.35353 Sakbaev, V. G.; Smolyanov, O. G. 3 2016 Operator approach to weak convergence of measures and limit theorems for random operators. Zbl 1480.60190 Orlov, Yu. N.; Sakbaev, V. Zh.; Shmidt, E. V. 3 2021 Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states. Zbl 1433.35360 Efremova, L. S.; Grekhneva, A. D.; Sakbaev, V. Zh. 3 2019 Operator random walks and quantum oscillator. Zbl 1450.81041 Orlov, Yu. N.; Sakbaev, V. Zh.; Zavadsky, D. V. 3 2020 Diffusion and quantum dynamics on graphs. Zbl 1283.47050 Sakbaev, V. Zh.; Smolyanov, O. G. 3 2013 Chernoff iterations as an averaging method for random affine transformations. Zbl 1517.47070 Kalmetev, R. Sh.; Orlov, Yu. N.; Sakbaev, V. Zh. 3 2022 Analogue of Chernoff theorem for cylindrical pseudomeasures. Zbl 1469.46036 Sakbaev, V. Zh.; Tsoy, N. V. 3 2020 On a nonlinear ordinary differential equation. Zbl 0828.34017 Zhidkov, P. E.; Sakbaev, V. Zh. 2 1994 Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerate coefficients. Zbl 1197.35143 Korobenko, L. V.; Sakbaev, V. Zh. 2 2009 On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042 Amosov, G. G.; Sakbaev, V. Zh. 2 2004 Dynamics of a set of quantum states generated by a nonlinear Liouville-von Neumann equation. Zbl 1450.35238 Grekhneva, A. D.; Sakbaev, V. Zh. 2 2020 Shift-invariant measures on Hilbert and related function spaces. Zbl 07247848 Busovikov, V. M.; Sakbaev, V. Zh. 2 2020 Measures on Hilbert space that are invariant with respect to Hamiltonian flows. Zbl 1524.37078 Glazatov, Vladimir Andreevich; Sakbaev, Vsevolod Zhanovich 2 2022 Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066 Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G. 2 2012 On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space. Zbl 1116.35349 Sakbaev, V. Zh. 1 2002 On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization. Zbl 1159.35429 Sakbaev, V. Zh. 1 2008 Existence of a countable set of solutions for a nonlinear boundary value problem. Zbl 0853.34029 Zhidkov, P. E.; Sakbaev, V. Zh. 1 1995 Lebesgue-Feynman measures on infinite dimensional spaces. Zbl 1473.46048 Sakbaev, V. Zh.; Smolyanov, O. G. 1 2021 Generalized coherent states representation. Zbl 07422211 Kalmetev, R. Sh.; Orlov, Yu. N.; Sakbaev, V. Zh. 1 2021 On analogs of spectral decomposition of a quantum state. Zbl 1269.81008 Amosov, G. G.; Sakbaev, V. Zh. 1 2013 Markov approximations of the evolution of quantum systems. Zbl 1517.47081 Gough, J.; Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 1 2022 Blow-up of states in the dynamics given by the Schrödinger equation with a power-law nonlinearity in the potential. Zbl 1500.81030 Sakbaev, V. Zh.; Shiryaeva, A. D. 1 2022 On the dynamics of the quantum states set for a system with degenerated Hamiltonian. Zbl 1449.35397 Sakbaev, Vsevolod Zhanovich 1 2011 Dirichlet problem for Poisson equation on the rectangle in infinite dimensional Hilbert space. Zbl 1524.35492 Busovikov, V. M.; Sakbaev, V. Zh. 1 2020 Limit distribution for compositions of random operators. Zbl 1506.60065 Sakbaev, V. Zh.; Shmidt, E. V.; Shmidt, V. 1 2022 Feynman-Chernoff iterations and their applications in quantum dynamics. Zbl 06962315 Orlov, Yu. N.; Sakbaev, V. Zh. 1 2018 Chernoff iterations as an averaging method for random affine transformations. Zbl 1517.47070 Kalmetev, R. Sh.; Orlov, Yu. N.; Sakbaev, V. Zh. 3 2022 Measures on Hilbert space that are invariant with respect to Hamiltonian flows. Zbl 1524.37078 Glazatov, Vladimir Andreevich; Sakbaev, Vsevolod Zhanovich 2 2022 Markov approximations of the evolution of quantum systems. Zbl 1517.47081 Gough, J.; Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 1 2022 Blow-up of states in the dynamics given by the Schrödinger equation with a power-law nonlinearity in the potential. Zbl 1500.81030 Sakbaev, V. Zh.; Shiryaeva, A. D. 1 2022 Limit distribution for compositions of random operators. Zbl 1506.60065 Sakbaev, V. Zh.; Shmidt, E. V.; Shmidt, V. 1 2022 Random quantization of Hamiltonian systems. Zbl 1494.47069 Gough, J.; Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 5 2021 Operator approach to weak convergence of measures and limit theorems for random operators. Zbl 1480.60190 Orlov, Yu. N.; Sakbaev, V. Zh.; Shmidt, E. V. 3 2021 Lebesgue-Feynman measures on infinite dimensional spaces. Zbl 1473.46048 Sakbaev, V. Zh.; Smolyanov, O. G. 1 2021 Generalized coherent states representation. Zbl 07422211 Kalmetev, R. Sh.; Orlov, Yu. N.; Sakbaev, V. Zh. 1 2021 Stochastic processes on the group of orthogonal matrices and evolution equations describing them. Zbl 1466.60093 Zamana, K. Yu.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2020 Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups. Zbl 1461.46045 Busovikov, Vladimir M.; Sakbaev, Vsevolod Zh. 4 2020 Operator random walks and quantum oscillator. Zbl 1450.81041 Orlov, Yu. N.; Sakbaev, V. Zh.; Zavadsky, D. V. 3 2020 Analogue of Chernoff theorem for cylindrical pseudomeasures. Zbl 1469.46036 Sakbaev, V. Zh.; Tsoy, N. V. 3 2020 Dynamics of a set of quantum states generated by a nonlinear Liouville-von Neumann equation. Zbl 1450.35238 Grekhneva, A. D.; Sakbaev, V. Zh. 2 2020 Shift-invariant measures on Hilbert and related function spaces. Zbl 07247848 Busovikov, V. M.; Sakbaev, V. Zh. 2 2020 Dirichlet problem for Poisson equation on the rectangle in infinite dimensional Hilbert space. Zbl 1524.35492 Busovikov, V. M.; Sakbaev, V. Zh. 1 2020 Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 8 2019 Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations. Zbl 1426.28027 Sakbaev, V. Zh. 7 2019 Randomized Hamiltonian mechanics. Zbl 1428.81080 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2019 Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure. Zbl 07174815 Zavadsky, D. V.; Sakbaev, V. Zh. 4 2019 Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states. Zbl 1433.35360 Efremova, L. S.; Grekhneva, A. D.; Sakbaev, V. Zh. 3 2019 On quantum dynamics on \(C^\ast\)-algebras. Zbl 1400.81105 Volovich, I. V.; Sakbaev, V. Zh. 11 2018 Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338 Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh. 7 2018 Chernoff equivalence for shift operators, generating coherent states in quantum optics. Zbl 1401.81095 Borisov, L. A.; Orlov, Y. N.; Sakbaev, V. J. 5 2018 Feynman-Chernoff iterations and their applications in quantum dynamics. Zbl 06962315 Orlov, Yu. N.; Sakbaev, V. Zh. 1 2018 Averaging of random walks and shift-invariant measures on a Hilbert space. Zbl 1376.81023 Sakbaev, V. Zh. 25 2017 Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606 Sakbaev, V. Zh.; Volovich, I. V. 6 2017 Feynman formulas for nonlinear evolution equations. Zbl 1458.46030 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2017 Unbounded random operators and Feynman formulae. Zbl 1422.47049 Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G. 29 2016 On the law of large numbers for compositions of independent random semigroups. Zbl 1459.47016 Sakbaev, V. Zh. 12 2016 Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations. Zbl 1348.35214 Sakbaev, V. Zh. 5 2016 Well-posedness of a problem with initial conditions for hyperbolic differential-difference equations with shifts in the time argument. Zbl 1347.35141 Akbari Fallahi, A.; Yaakbarieh, A.; Sakbaev, V. Zh. 5 2016 Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057 Amosov, G. G.; Sakbaev, V. Zh. 3 2016 Analogues of Feynman formulas for ill-posed problems associated with the Schrödinger equation. Zbl 1372.35353 Sakbaev, V. G.; Smolyanov, O. G. 3 2016 Notion of blowup of the solution set of differential equations and averaging of random semigroups. Zbl 1336.35081 Efremova, L. S.; Sakbaev, V. Zh. 9 2015 Well-posed initial problem for parabolic differential-difference equations with shifts of time argument. Zbl 1357.35173 Yaakbarieh, A.; Sakbaev, V. Zh. 5 2015 Feynman formulas as a method of averaging random Hamiltonians. Zbl 1304.81082 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 28 2014 Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086 Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N. 10 2014 Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683 Volovich, I. V.; Sakbaev, V. Zh. 5 2014 Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation. Zbl 1291.35258 Sakbaev, V. Zh. 10 2013 Diffusion and quantum dynamics on graphs. Zbl 1283.47050 Sakbaev, V. Zh.; Smolyanov, O. G. 3 2013 On analogs of spectral decomposition of a quantum state. Zbl 1269.81008 Amosov, G. G.; Sakbaev, V. Zh. 1 2013 Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046 Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 9 2012 On the variational description of the trajectories of averaging quantum dynamical maps. Zbl 1251.81060 Sakbaev, V. Zh. 5 2012 Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065 Sakbaev, V. Zh.; Smolyanov, O. G. 4 2012 Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066 Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G. 2 2012 The set of quantum states and its averaged dynamic transformations. Zbl 1229.81078 Sakbaev, V. Zh. 7 2011 On the dynamics of the quantum states set for a system with degenerated Hamiltonian. Zbl 1449.35397 Sakbaev, Vsevolod Zhanovich 1 2011 Stochastic properties of degenerated quantum systems. Zbl 1191.35221 Sakbaev, Vsevolod Zh. 11 2010 Averaging of quantum dynamical semigroups. Zbl 1263.47055 Sakbaev, V. Zh. 9 2010 Dynamics of a quantum particle with discontinuous position-dependent mass. Zbl 1200.81054 Sakbaev, V. G.; Smolyanov, O. G. 7 2010 Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerate coefficients. Zbl 1197.35143 Korobenko, L. V.; Sakbaev, V. Zh. 2 2009 Spectral aspects of regularization of the Cauchy problem for a degenerate equation. Zbl 1235.35180 Sakbaev, V. Zh. 11 2008 On dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line. Zbl 1151.35417 Sakbaev, V. Zh. 3 2008 Approximation and variational methods for regularization of ill-posed problems. Zbl 1147.49031 Sakbaev, V. Zh. 3 2008 On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization. Zbl 1159.35429 Sakbaev, V. Zh. 1 2008 Set-valued mappings specified by regularization of the Schrödinger equation with degeneration. Zbl 1210.81029 Sakbaev, V. Zh. 6 2006 Functionals on solutions of the Cauchy problem for the Schrödinger equation with degeneration on a half-line. Zbl 1136.35443 Sakbaev, V. Zh. 5 2004 On the Cauchy problem for the Schrödinger equation with generator of variable type. Zbl 1079.35031 Sakbaev, V. Zh. 4 2004 On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042 Amosov, G. G.; Sakbaev, V. Zh. 2 2004 On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space. Zbl 1116.35349 Sakbaev, V. Zh. 1 2002 The correct solvability of some differential-difference equations in the scale of Sobolev spaces. Zbl 1257.34058 Vlasov, V. V.; Sakbaev, V. Zh. 7 2001 Well-defined solvability of some differential-difference equations in Sobolev spaces. Zbl 1004.34070 Vlasov, V. V.; Sakbaev, V. Zh. 3 2000 Existence of a countable set of solutions for a nonlinear boundary value problem. Zbl 0853.34029 Zhidkov, P. E.; Sakbaev, V. Zh. 1 1995 On a nonlinear ordinary differential equation. Zbl 0828.34017 Zhidkov, P. E.; Sakbaev, V. Zh. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 67 Authors 65 Sakbaev, Vsevolod Zhanovich 24 Orlov, Yurii N. 23 Smolyanov, Oleg Georgievich 10 Remizov, Ivan D. 6 Borisov, Leonid Andreevich 5 Busovikov, Vladimir M. 5 Kinderknecht, Yana A. 5 Muravnik, Andreĭ Borisovich 4 Zavadsky, D. V. 3 Amosov, Grigoriĭ Gennad’evich 3 Efremova, Lyudmila S. 3 Kalmetev, R. Sh. 3 Kislitsyn, Alexey A. 3 Shamarov, Nikolaĭ Nikolaevich 3 Shmidt, E. V. 3 Volovich, Igor’ Vasil’evich 2 Gough, John E. 2 Grekhneva, A. D. 2 Shiryaeva, A. D. 2 Vedenin, Aleksandr Vladimirovich 2 Vlasov, Viktor Valentinovich 2 Volkov, Boris O. 2 Yaakbarieh, A. 2 Zamana, Konstantin Yur’evich 2 Zhidkov, Peter E. 1 Akbari Fallahi, A. 1 Belykh, Vladimir Nikitich 1 Bezyaev, Vladimir Ivanovich 1 Bikchentaev, Aĭrat Midkhatovich 1 Blessing, Jonas 1 Böttcher, Björn 1 Chen, Linghua 1 Cushing, Jim Michael 1 Elaydi, Saber Nasr 1 Favini, Angelo 1 Galkin, Oleg Evgen’evich 1 Galkin, Vladislav Dmitrievich 1 Gardini, Laura 1 Grishin, Denis V. 1 Grothaus, Martin 1 Jakobsen, Espen Robstad 1 Karaca, Bahriye 1 Karatetskaya, Efrosiniya Yur’evna 1 Korsakova, M. B. 1 Kozlova, A. B. 1 Kravtseva, A. K. 1 Kupper, Michael 1 Liu, Chengshi 1 Lozi, René 1 Mammadov, Yusif A. 1 Mazzucchi, Sonia 1 Medvedev, Dmitriy A. 1 Misiurewicz, Michał 1 Moretti, Valter 1 Naess, Arvid 1 Pavlovskiy, Yan Yu. 1 Sadekov, N. Kh. 1 Schilling, René Leander 1 Schöll, Eckehard 1 Shavgulidze, Eugene T. 1 Shelakov, M. G. 1 Strelkova, Galina Ivanova 1 Tanaka, Satoshi 1 Teretenkov, Alexander E. 1 Tsoy, N. V. 1 Voevodkin, V. S. 1 Yagi, Atsushi all top 5 Cited in 35 Serials 16 Lobachevskii Journal of Mathematics 14 Doklady Mathematics 13 Journal of Mathematical Sciences (New York) 10 Proceedings of the Steklov Institute of Mathematics 7 Theoretical and Mathematical Physics 5 Russian Mathematics 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Differential Equations 4 Mathematical Notes 4 Russian Journal of Mathematical Physics 3 International Journal of Theoretical Physics 3 Computational Mathematics and Mathematical Physics 3 Izvestiya: Mathematics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal of Mathematical Physics 2 Potential Analysis 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 St. Petersburg Mathematical Journal 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Fractional Calculus & Applied Analysis 1 Matematicheskoe Modelirovanie 1 Stochastics and Dynamics 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Discontinuity, Nonlinearity, and Complexity 1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Applied Mathematics and Nonlinear Sciences all top 5 Cited in 25 Fields 58 Operator theory (47-XX) 53 Partial differential equations (35-XX) 49 Quantum theory (81-XX) 23 Functional analysis (46-XX) 21 Probability theory and stochastic processes (60-XX) 13 Measure and integration (28-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) Citations by Year