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Nazarov, Alexander Il'ich

Statistics Math-Net.Ru
Total publications: 44
Scientific articles: 38
Presentations: 36

Number of views:
This page:6568
Abstract pages:11739
Full texts:3806
References:1008
Doctor of physico-mathematical sciences (2004)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:

http://www.mathnet.ru/eng/person19344
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:nazarov.alexander-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/228194

Publications in Math-Net.Ru
2021
1. E. D. Gal'kovskii, A. I. Nazarov, “A trace formula for higher order ordinary differential operators”, Mat. Sb., 212:5 (2021),  80–101  mathnet; Sb. Math., 212:5 (2021), 676–697  isi  scopus
2020
2. A. I. Nazarov, “On a Family of Ordinary Differential Equations Integrable in Elementary Functions”, Math. Notes, 108:4 (2020), 623–625  mathnet  mathscinet  isi  elib  scopus
2018
3. E. D. Gal'kovskiĭ, A. I. Nazarov, “A general trace formula for the differential operator on a segment with the last coefficient perturbed by a finite signed measure”, Algebra i Analiz, 30:3 (2018),  30–54  mathnet  elib; St. Petersburg Math. J., 30:3 (2019), 411–427  isi  scopus
4. A. I. Nazarov, N. S. Ustinov, “A generalization of the Hardy inequality”, Zap. Nauchn. Sem. POMI, 477 (2018),  112–118  mathnet
2017
5. A. I. Ibragimov, A. I. Nazarov, “On Phragmén — Lindelöf principle for Non-divergence Type Elliptic Equations and Mixed Boundary conditions”, Mathematical Physics and Computer Simulation, 20:3 (2017),  65–76  mathnet
6. A. N. Minarsky, A. I. Nazarov, “On the spectra of boundary value problems generated by some 1D embedding theorems”, Zap. Nauchn. Sem. POMI, 459 (2017),  58–65  mathnet; J. Math. Sci. (N. Y.), 236:4 (2019), 413–418
7. R. Musina, A. I. Nazarov, “Variational inequalities for the spectral fractional Laplacian”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  381  mathnet  elib; Comput. Math. Math. Phys., 57:3 (2017), 373–386  isi  scopus
2016
8. A. I. Nazarov, B. O. Neterebskii, “The multiplicity of positive solutions to the quasilinear equation generated by the Il'in–Caffarelli–Kohn–Nirenberg inequality”, Zap. Nauchn. Sem. POMI, 444 (2016),  98–109  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:3 (2017), 448–455  scopus
2015
9. A. I. Nazarov, Yu. P. Petrova, “The small ball asymptotics in Hilbertian norm for the Kac–Kiefer–Wolfowitz processes”, Teor. Veroyatnost. i Primenen., 60:3 (2015),  482–505  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 60:3 (2016), 460–480  isi  elib  scopus
2014
10. E. V. Mukoseeva, A. I. Nazarov, “On symmetry of the extremal in some embedding theorems”, Zap. Nauchn. Sem. POMI, 425 (2014),  35–45  mathnet; J. Math. Sci. (N. Y.), 210:6 (2015), 779–786  scopus
2013
11. A. I. Nazarov, R. S. Pusev, “Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted $L_2$-norms”, Algebra i Analiz, 25:3 (2013),  131–146  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:3 (2014), 455–466  isi  scopus
12. A. I. Nazarov, S. V. Poborchi, “On conditions of validity of the Poincaré inequality”, Zap. Nauchn. Sem. POMI, 410 (2013),  104–109  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 61–63  scopus
2011
13. A. I. Nazarov, N. N. Uraltseva, “The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients”, Algebra i Analiz, 23:1 (2011),  136–168  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:1 (2012), 93–115  isi  scopus
2010
14. A. I. Nazarov, “Trace Hardy–Sobolev inequalities in cones”, Algebra i Analiz, 22:6 (2010),  200–213  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:6 (2011), 997–1006  isi  scopus
15. G. L. Zavorokhin, A. I. Nazarov, “On elastic waves in a wedge”, Zap. Nauchn. Sem. POMI, 380 (2010),  45–52  mathnet; J. Math. Sci. (N. Y.), 175:6 (2011), 646–650  scopus
2009
16. A. I. Nazarov, “Hölder estimates for solutions to degenerate nondivergence elliptic and parabolic equations”, Algebra i Analiz, 21:4 (2009),  174–195  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:4 (2010), 635–650  isi  scopus
17. A. I. Nazarov, “On one transformations family of Gaussian random functions”, Teor. Veroyatnost. i Primenen., 54:2 (2009),  209–225  mathnet  mathscinet  zmath; Theory Probab. Appl., 54:2 (2010), 203–216  isi  scopus
18. A. I. Nazarov, R. S. Pusev, “Exact small deviation asymptotics in $L_2$-norm for some weighted Gaussian processes”, Zap. Nauchn. Sem. POMI, 364 (2009),  166–199  mathnet; J. Math. Sci. (N. Y.), 163:4 (2010), 409–429  scopus
2008
19. D. N. Zaporozhets, A. I. Nazarov, “What is the Least Expected Number of Real Roots of a Random Polynomial?”, Teor. Veroyatnost. i Primenen., 53:1 (2008),  40–58  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 53:1 (2009), 117–133  isi  elib  scopus
2007
20. A. I. Nazarov, F. V. Petrov, “On Tabachnikov's conjecture”, Algebra i Analiz, 19:1 (2007),  177–193  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 19:1 (2008), 125–135  isi
2006
21. S. V. Ivanov, A. I. Nazarov, “Weighted Sobolev-type embedding theorems for functions with symmetries”, Algebra i Analiz, 18:1 (2006),  108–123  mathnet  mathscinet  zmath; St. Petersburg Math. J., 18:1 (2007), 77–88
22. A. V. Demyanov, A. I. Nazarov, “On solvability of Dirichlet problem to semilinear Schrödinger equation with singular potential”, Zap. Nauchn. Sem. POMI, 336 (2006),  25–45  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:2 (2007), 2857–2868  scopus
2005
23. A. V. Demyanov, A. I. Nazarov, “On the existence of an extremal function in Sobolev embedding theorems with limit exponent”, Algebra i Analiz, 17:5 (2005),  105–140  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:5 (2006), 773–796
2004
24. A. I. Nazarov, Ya. Yu. Nikitin, “Logarithmic $L_2$-small ball asymptotics for some fractional Gaussian processes”, Teor. Veroyatnost. i Primenen., 49:4 (2004),  695–711  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:4 (2005), 645–658  isi
25. A. I. Nazarov, “Logarithmic $L_2$-small ball asymptotics with respect to self-similar measure for some Gaussian processes”, Zap. Nauchn. Sem. POMI, 311 (2004),  190–213  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 133:3 (2006), 1314–1327
26. A. I. Nazarov, “Degenerate Venttsel' boundary value problem to elliptic equations”, Zap. Nauchn. Sem. POMI, 310 (2004),  82–97  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 295–303
2002
27. D. E. Apushkinskaya, A. I. Nazarov, “The elliptic Dirichlet problem in weight spaces”, Zap. Nauchn. Sem. POMI, 288 (2002),  14–33  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4527–4538
2001
28. A. I. Nazarov, “Estimates of the maximum for solutions of elliptic and parabolic equations in terms of weighted norms of the right-hand side”, Algebra i Analiz, 13:2 (2001),  151–164  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:2 (2002), 269–279
2000
29. A. I. Nazarov, “The eigenfunctions of a Sturm–Liouville problem related to generalized lyapunov sines”, Differ. Uravn., 36:7 (2000),  1000  mathnet  mathscinet; Differ. Equ., 36:7 (2000), 1112–1113
30. D. E. Apushkinskaya, A. I. Nazarov, “Quasilinear two-phase Venttsel problems”, Zap. Nauchn. Sem. POMI, 271 (2000),  11–38  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:6 (2003), 2704–2719
1999
31. A. I. Nazarov, “About “one-dimensionality” of the extremal in the Poincare inequality in the square”, Zap. Nauchn. Sem. POMI, 259 (1999),  167–181  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:5 (2002), 1928–1939
1998
32. A. P. Buslaev, V. A. Kondrat'ev, A. I. Nazarov, “On a family of extremum problems and the properties of an integral”, Mat. Zametki, 64:6 (1998),  830–838  mathnet  mathscinet  zmath; Math. Notes, 64:6 (1998), 719–725  isi
33. V. V. Lukyanov, A. I. Nazarov, “Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials”, Zap. Nauchn. Sem. POMI, 250 (1998),  203–218  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 102:4 (2000), 4265–4274
1995
34. D. E. Apushkinskaya, A. I. Nazarov, “On the quasilinear stationary Ventzel boundary-value problem”, Zap. Nauchn. Sem. POMI, 221 (1995),  20–29  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3277–3283
1994
35. 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  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:6 (1995), 1127–1149
1992
36. A. I. Nazarov, N. N. Uraltseva, “Oblique Boundary Value Problem for Quasilinear Parabolic Equation”, Zap. Nauchn. Sem. POMI, 200 (1992),  118–131  mathnet  mathscinet  zmath; J. Math. Sci., 77:3 (1995), 3212–3220
1987
37. A. I. Nazarov, “Estimates of the Hölder constant for the solution of an initia-boundary value problem with an oblique derivative for a parabolic equation”, Zap. Nauchn. Sem. LOMI, 163 (1987),  130–131  mathnet  zmath
1985
38. A. I. Nazarov, N. N. Ural'tseva, “Convex-monotonous bulls and an estimate of Biaximum for solutions of the parabolic equation”, Zap. Nauchn. Sem. LOMI, 147 (1985),  95–109  mathnet  mathscinet  zmath

2021
39. D. Yu. Burago, Yu. D. Burago, A. L. Verner, A. M. Vershik, M. L. Gromov, I. A. Ibragimov, S. V. Ivanov, S. V. Kislyakov, S. S. Kutateladze, A. A. Lodkin, Yu. V. Matiyasevich, N. E. Mnev, A. I. Nazarov, G. Yu. Panina, Yu. G. Reshetnyak, V. A. Rizhik, N. N. Ural'tseva, Ya. M. Eliashberg, “Viktor Abramovich Zalgaller (obituary)”, Uspekhi Mat. Nauk, 76:5(461) (2021),  195–198  mathnet
2020
40. D. E. Apushkinskaya, A. I. Nazarov, “Preface”, Algebra i Analiz, 32:3 (2020),  3  mathnet
41. E. V. Mukoseeva, A. I. Nazarov, “Corrigendum”, Zap. Nauchn. Sem. POMI, 489 (2020),  225  mathnet
2018
42. 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  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:2 (2019), 149–160  isi  scopus
2015
43. D. E. Apushkinskaya, A. I. Nazarov, “Nina Nikolaevna Ural'tseva”, Algebra i Analiz, 27:3 (2015),  3–5  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:3 (2016), 345–346  isi  scopus
2005
44. V. V. Lukyanov, A. I. Nazarov, “Correction to the paper “Solving the Venttsel problem for the Laplace and Helmholtz equations with the help of iterated potentials””, Zap. Nauchn. Sem. POMI, 324 (2005),  129–130  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 138:2 (2006), 5554  scopus

Presentations in Math-Net.Ru
1. Again on comparison of fractional Laplacians.
A. I. Nazarov
V. I. Smirnov Seminar on Mathematical Physics
September 6, 2021 16:30   
2. О доступной локальной асимптотической эффективности некоторых критериев согласия
A. I. Nazarov
Seminar on Probability Theory and Mathematical Statistics
May 21, 2021 18:00
3. On symmetric wedge mode of an elastic solid (joint work with S.A. Nazarov and G.L. Zavorokhin)
A. I. Nazarov
V. I. Smirnov Seminar on Mathematical Physics
February 1, 2021 16:30   
4. The Aleksandrov-Bakelman maximum principle
A. I. Nazarov
School for Young Mechanicians and Mathematicians “Mathematical Methods of Mechanics”
November 11, 2020 15:15   
5. Спектральная эквивалентность гауссовских функций: операторный подход
A. I. Nazarov
Seminar on Probability Theory and Mathematical Statistics
October 2, 2020 18:00
6. Some inequalities for fractional Laplacians
A. I. Nazarov
Seminar on Analysis, Differential Equations and Mathematical Physics
October 1, 2020 18:00
7. Multiple structures for quasilinear equations by the variational method
A. I. Nazarov
Joint Mathematical seminar of Saint Petersburg State University and Peking University
June 16, 2020 15:00   
8. Some inequalities for fractional Laplacians
A. I. Nazarov
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
April 30, 2020   
9. Спектральные асимптотики и асимптотики малых уклонений для некоторых ДБД-подобных процессов
A. I. Nazarov
Seminar on Probability Theory and Mathematical Statistics
November 22, 2019 18:00   
10. Лемма о нормальной производной (обзор)
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
March 13, 2019   
11. Формулы следов для обыкновенных дифференциальных операторов, возмущенных конечным зарядом
A. I. Nazarov
Seminar on Operator Theory and Function Theory
March 11, 2019 17:30
12. Асимптотика вероятности больших уклонений для времени выхода из области типа мультиполосы с расширением
A. I. Nazarov
Seminar on Probability Theory and Mathematical Statistics
November 23, 2018 18:00
13. Точные константы в граничных неравенствах Пуанкаре для простых областей
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 17, 2018 16:00   
14. Vladimir Ivanovich Smirnov (1887-1974) - mathematician and enlightener. Joint meeting of the Mathematics Section of the Academic House and the Seminar on the History of Mathematics
A. I. Nazarov
Seminar on the History of Mathematics
November 2, 2017 18:00   
15. Точные константы в неравенствах Соболева для дробных лапласианов Дирихле и Навье
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
March 15, 2017 16:00   
16. Qualitative properties of solutions of equations with divergence-free lower-order coefficients
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 18, 2016 16:00   
17. Эффект Брезиса-Ниренберга для дробных лапласианов
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 14, 2015 16:00
18. On stability of rest points for a class of ODEs arising in modelling of traffic flows
A. I. Nazarov
International Conference on Mathematical Control Theory and Mechanics
July 5, 2015 09:00
19. On sharp constants in fractional Sobolev and Hardy inequalities
A. I. Nazarov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 14:30
20. Асимптотика малых уклонений в гильбертовой норме для процессов Каца-Кифера-Вольфовица
A. I. Nazarov
Seminar on Probability Theory and Mathematical Statistics
April 10, 2015 18:00
21. Дробные лапласианы Навье vs Дирихле
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
March 4, 2015 16:00
22. The Brezis-Nirenberg effect for fractional Laplacians
A. I. Nazarov
The Seventh International Conference on Differential and Functional Differential Equations
August 24, 2014 15:30   
23. Sharp constants in the “boundary”' Poincarи inequality
A. I. Nazarov
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 09:45
24. К 100-летию леммы Зарембы-Хопфа-Олейник
A. I. Nazarov
International conference "Contemporary Problems of Mathematics, Mechanics, and Mathematical Physics" dedicated to the 150th anniversary of V. A. Steklov
May 16, 2013 15:00   
25. Принцип максимума А.Д. Александрова
A. I. Nazarov
Scientific meetings of the Nizhny Novgorod Mathematical Society
March 29, 2013 18:00
26. По следам!
D. M. Stolyarov, P. B. Zatitskii, A. I. Nazarov
Seminar of Chebyshev Laboratory on Spectral Theory
November 9, 2012 15:00
27. О точной константе в трехпараметрическом неравенстве Пуанкаре
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 10, 2012 16:00
28. Малые уклонения гриновских гауссовских процессов
A. I. Nazarov
Seminar on Probability Theory and Mathematical Statistics
April 20, 2012 18:00
29. Спектр краевых задач для ОДУ (от Биргофа и Тамаркина до наших дней) с приложением к задаче о точной асимптотике малых уклонений гауссовских процессов в $L_2$-норме. Часть II
A. I. Nazarov
Seminar of Chebyshev Laboratory on Spectral Theory
March 23, 2012 15:00
30. Спектр краевых задач для ОДУ (от Биркгофа и Тамаркина до наших дней) с приложением к задаче о точной асимптотике малых уклонений гауссовских процессов в $L_2$-норме
A. I. Nazarov
Seminar of Chebyshev Laboratory on Spectral Theory
March 16, 2012 15:00
31. Неравенства Харди–Мазьи (о достижимости точной константы)
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
February 22, 2012 16:00
32. Параболические уравнения с коэффициентами, разрывными по времени
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 18, 2011 16:00
33. О монотонности интегральных функционалов при перестановках, или как переходить к пределу под знаком интеграла
A. I. Nazarov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 8, 2010 16:00
34. Spectral theory of boundary problems for ODE and Gaussian random processes
A. I. Nazarov
Meetings of the St. Petersburg Mathematical Society
December 2, 2008
35. Несколько элементарных, но непростых интегральных неравенств
A. I. Nazarov
Meetings of the St. Petersburg Mathematical Society
April 19, 2008
36. Symmetry and asymmetry of the solutions of extremal problems
A. I. Nazarov
Meetings of the St. Petersburg Mathematical Society
October 31, 2001

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