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 Author ID: nazaikinskii.vladimir-e Published as: Nazaikinskii, V. E.; Nazaĭkinskiĭ, V. E.; Nazaikinskii, Vladimir; Nazaikinskij, V. E.; Nazaikinskii, Vladimir E.; Nazaikinskiĭ, V. E.; Nazaikinskij, Vladimir External Links: ORCID · Math-Net.Ru
 Documents Indexed: 137 Publications since 1978, including 8 Books
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#### Co-Authors

 12 single-authored 51 Sternin, Boris Yur’evich 36 Dobrokhotov, Sergei Yurievich 21 Savin, Anton Yur’evich 19 Maslov, Viktor Pavlovich 15 Schulze, Bert-Wolfgang 15 Shatalov, Victor E. 7 Minenkov, Dmitrii S. 7 Tirozzi, Brunello 5 Anikin, A. Yu. 5 Chernyshev, Vsevolod L. 4 Shafarevich, Andreĭ Igorevich 4 Tsvetkova, Anna V. 3 Makrakis, George N. 3 Tolchennikov, Anton A. 2 Karasev, Mikhail Vladimirovich 2 Kurdyumov, I. V. 2 Kuzmina, Liudmila I. 2 Lozhnikov, D. A. 2 Mosolova, M. V. 2 Osipov, Yuri V. 1 Anikin, Anatoly Y. 1 Bedrikovetsky, Pavel G. 1 Dubnov, Vladimir L. 1 Hilberdink, Titus W. 1 Karaev, A. D. 1 Karaeva, D. A. 1 Katsnelson, Mikhail I. 1 Oshmyan, Victor G. 1 Polyanin, Andrei D. 1 Rouleux, Michel 1 Schafarevich, A. I. 1 Sipailo, P. A. 1 Tudorovskii, T. Ya. 1 Vorobjev, Yurii M.
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#### Serials

 29 Mathematical Notes 23 Doklady Mathematics 19 Russian Journal of Mathematical Physics 5 Differential Equations 4 Theoretical and Mathematical Physics 4 Functional Analysis and its Applications 3 Journal of Mathematical Sciences (New York) 3 Izvestiya: Mathematics 2 Russian Mathematical Surveys 2 Differential Equations 2 Differential and Integral Equations and Their Applications 1 Journal of Applied Mathematics and Mechanics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics. Doklady 1 Annals of Global Analysis and Geometry 1 Computational Mathematics and Mathematical Physics 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 SIAM Journal on Applied Mathematics 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 Abstract and Applied Analysis 1 Journal of Mathematical Physics, Analysis, Geometry 1 De Gruyter Expositions in Mathematics 1 De Gruyter Studies in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Pseudo-Differential Operators. Theory and Applications 1 Operator Theory: Advances and Applications
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#### Fields

 70 Partial differential equations (35-XX) 59 Global analysis, analysis on manifolds (58-XX) 24 Operator theory (47-XX) 20 Quantum theory (81-XX) 17 Differential geometry (53-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Fluid mechanics (76-XX) 10 Functional analysis (46-XX) 9 Number theory (11-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 $$K$$-theory (19-XX) 7 Probability theory and stochastic processes (60-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

95 Publications have been cited 571 times in 285 Documents Cited by Year
On the distribution of integer random variables related by a certain linear inequality. I. Zbl 1150.82017
Maslov, V. P.; Nazaikinskii, V. E.
2008
On the distribution of integer random variables related by a certain linear inequality. II. Zbl 1153.82001
Maslov, V. P.; Nazaikinskii, V. E.
2008
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
2008
Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I. Zbl 1387.35404
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2010
New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. Zbl 1298.81091
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.; Tudorovskii, T. Ya.
2013
Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions. Zbl 06769034
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2017
On the distribution of integer random variables satisfying two linear relations. Zbl 1219.60031
Maslov, V. P.; Nazaikinskii, V. E.
2008
On the distribution of integer random variables related by a certain linear inequality. III. Zbl 1202.82006
Maslov, V. P.; Nazaikinskii, V. E.
2008
Methods of noncommutative analysis: theory and applications. Zbl 0876.47015
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1995
Handbook of linear partial differential equations for engineers and scientists. 2nd edition. Zbl 1329.35001
Polyanin, Andrei D.; Nazaikinskii, Vladimir E.
2016
New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
2017
On the asymptotics of the number of states for the Bose-Maslov gas. Zbl 1285.82048
Nazaikinskii, V. E.
2012
Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data. Zbl 1320.35180
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2013
Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds. Zbl 1357.82068
Maslov, V. P.; Nazaikinskii, V. E.
2016
Tunnel canonical operator in thermodynamics. Zbl 1118.82040
Maslov, V. P.; Nazaikinskii, V. E.
2006
On the rate of convergence to the Bose-Einstein distribution. Zbl 1338.82051
Maslov, V. P.; Nazaikinskii, V. E.
2016
On the index of elliptic operators on manifolds with edges. Zbl 1138.58310
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu; Schulze, B.-W.
2005
Phase space geometry for a wave equation degenerating on the boundary of the domain. Zbl 1308.58017
Nazaikinskii, V. E.
2012
On the entropy of a Bose-Maslov gas. Zbl 1269.82061
Nazaikinskii, V. E.
2013
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
2006
On the distribution of integer random variables related by two linear inequalities. I. Zbl 1154.60076
Maslov, V. P.; Nazaikinskii, V. E.
2008
Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. Zbl 1362.35170
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2016
Fourier integral operators and the canonical operator. Zbl 0507.58043
Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E.
1981
The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary. Zbl 1330.53108
Nazaikinskii, V. E.
2014
Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds. Zbl 1376.37114
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2017
Disinformation theory for bosonic computational media. Zbl 1349.82022
Maslov, V. P.; Nazaikinskii, V. E.
2016
Maslov’s canonical operator, Hörmander’s formula, and localization of the Berry-Balazs solution in the theory of wave beams. Zbl 1323.81031
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.
2014
Quantization methods in differential equations. Zbl 1079.81040
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y.
2002
On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. Zbl 1357.11095
Minenkov, D. S.; Nazaĭkinskiĭ, V. E.; Chernyshev, V. L.
2016
On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators. Zbl 1366.11105
Minenkov, D. S.; Nazaikinskiĭ, V. E.; Chernyshev, V. L.
2016
On the asymptotics of a Bessel-type integral having applications in wave run-up theory. Zbl 1384.42001
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2017
Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. Zbl 1420.35151
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2018
On the quantization of rapidly oscillating symbols. Zbl 0391.47036
Karasev, M. V.; Nazaikinskii, V. E.
1978
On the quantization of rapidly oscillating symbols. Zbl 0417.47025
Karasev, M. V.; Nazaĭkinskiĭ, V. E.
1978
Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data. Zbl 1230.35057
Dobrokhotov, S. Yu.; Nazaĭkinskiĭ, V. E.; Tirozzi, B.
2011
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1992
Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. Zbl 0702.35002
Maslov, V. P.; Nazaĭkinskiĭ, V. E.
1988
Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom. Zbl 1357.82067
Maslov, V. P.; Nazaikinskii, V. E.
2016
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side. Zbl 1263.35154
Dobrokhotov, Sergey; Minenkov, Dmitrii; Nazaikinskii, Vladimir; Tirozzi, Brunello
2013
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
2001
Relative elliptic theory. Zbl 1090.58016
2004
The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides. Zbl 1377.35062
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M.
2017
Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. Zbl 1407.35028
Nazaikinskii, V. E.; Shafarevich, A. I.
2018
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I.
2016
Volume and entropy in abstract analytic number theory and thermodynamics. Zbl 1362.82025
Maslov, V. P.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2016
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
2007
Asymptotic solutions of 2D wave equations with variable velocity and localized right-hand side. Zbl 1192.35110
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2010
Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. Zbl 1432.76203
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
2017
Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. Zbl 1448.35391
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
2020
Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. Zbl 0482.58028
Maslov, V. P.; Nazaĭkinskiĭ, V. E.
1979
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; Sternin, B. Yu.
2006
The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. Zbl 1282.82064
Katsnelson, M. I.; Nazaikinskii, V. E.
2012
Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. Zbl 1372.35180
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
2017
Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the $$\nabla D(x)\nabla$$ operator in dimension 2 and trapped coastal waves. Zbl 1426.37049
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
2019
Efficient formulas for the Maslov canonical operator near a simple caustic. Zbl 1406.81036
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2018
Elliptic theory on manifolds with corners. II: homotopy classification and $$K$$-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025
Nazaikinskii, V. E.; Shafarevich, A. I.
2019
Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. Zbl 1441.81091
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
2019
Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions. Zbl 1234.35149
Nazaikinskii, V. E.
2011
Fourier integrals and a new representation of Maslov’s canonical operator near caustics. Zbl 1320.81058
Dobrokhotov, S. Yu.; Makrakis, G.; Nazaikinskii, V. E.
2014
On the representation of localized functions in $$\mathbb R^2$$ by the Maslov canonical operator. Zbl 1320.53100
Nazaikinskii, V. E.
2014
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2006
On a homogenization method for differential operators with oscillating coefficients. Zbl 1326.35022
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2015
Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu.
2005
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Simple exact and asymptotic solutions of the 1D run-up problem over a slowly varying (quasiplanar) bottom. Zbl 1329.35246
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E.; Tirozzi, B.
2016
Waves on the free surface described by linearized equations of hydrodynamics with localized right-hand sides. Zbl 1388.76028
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2018
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
2014
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
2006
On a problem in probability theory. Zbl 1145.60016
Maslov, V. P.; Nazaikinskii, V. E.
2007
Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator $$- \frac{d}{dx}D (x)\frac{d}{dx}$$. Zbl 1452.34085
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2019
Asymptotics for equations with singularities in the characteristics. I. Zbl 0484.35009
Maslov, V. P.; Nazaĭkinskiĭ, V. E.
1981
Numerical algorithm for problems of quadratic programming of high dimensionality. Zbl 0404.65036
Kurdyumov, I. V.; Mosolova, M. V.; Nazaikinskii, V. E.
1978
Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
2005
Operator algebras on manifolds with isolated singularities. Zbl 1181.35358
Nazaikinskii, V. E.; Sternin, B. Yu.
2003
Surgery and the relative index in elliptic theory. Zbl 1001.58016
2001
Maslov’s canonical operator for degenerate hyperbolic equations. Zbl 1316.35207
Nazaikinskii, V. E.
2014
Atiyah-Bott index on stratified manifolds. Zbl 1301.58013
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
On the Poincaré isomorphism in $$K$$-theory on manifolds with edges. Zbl 1305.19003
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
2000
A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030
Nazaikinskiĭ, V. E.; Sternin, B. Yu.
2000
Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
1998
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1999
The complex Lagrangian germ and the canonical operator. Zbl 0920.58051
1995
On the index of nonlocal elliptic operators. Zbl 1160.58010
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2008
Remark on the inverse abstract prime number theorem. Zbl 1354.11062
Minenkov, D. S.; Nazaikinskiĭ, V. E.
2016
On the Green operator in relative elliptic theory. Zbl 1125.58302
Nazaikinskii, V. E.; Sternin, B. Yu.
2003
On a deep bed filtration problem with finite blocking time. Zbl 1418.35261
Kuzmina, L. I.; Nazaikinskii, V. E.; Osipov, Yu. V.
2019
Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics. Zbl 1455.76019
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2020
Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. Zbl 1450.35119
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2020
Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. Zbl 07270830
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2020
Asymptotics of the number of restricted partitions. Zbl 1469.11387
Chernyshev, V. L.; Hilberdink, T. W.; Nazaikinskii, V. E.
2020
Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. Zbl 1448.35391
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
2020
Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics. Zbl 1455.76019
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2020
Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. Zbl 1450.35119
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2020
Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. Zbl 07270830
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2020
Asymptotics of the number of restricted partitions. Zbl 1469.11387
Chernyshev, V. L.; Hilberdink, T. W.; Nazaikinskii, V. E.
2020
Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the $$\nabla D(x)\nabla$$ operator in dimension 2 and trapped coastal waves. Zbl 1426.37049
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
2019
Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025
Nazaikinskii, V. E.; Shafarevich, A. I.
2019
Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. Zbl 1441.81091
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
2019
Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator $$- \frac{d}{dx}D (x)\frac{d}{dx}$$. Zbl 1452.34085
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2019
On a deep bed filtration problem with finite blocking time. Zbl 1418.35261
Kuzmina, L. I.; Nazaikinskii, V. E.; Osipov, Yu. V.
2019
Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. Zbl 1420.35151
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2018
Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. Zbl 1407.35028
Nazaikinskii, V. E.; Shafarevich, A. I.
2018
Efficient formulas for the Maslov canonical operator near a simple caustic. Zbl 1406.81036
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2018
Waves on the free surface described by linearized equations of hydrodynamics with localized right-hand sides. Zbl 1388.76028
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2018
Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions. Zbl 06769034
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2017
New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I.
2017
Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds. Zbl 1376.37114
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2017
On the asymptotics of a Bessel-type integral having applications in wave run-up theory. Zbl 1384.42001
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2017
The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides. Zbl 1377.35062
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M.
2017
Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. Zbl 1432.76203
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
2017
Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. Zbl 1372.35180
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
2017
Handbook of linear partial differential equations for engineers and scientists. 2nd edition. Zbl 1329.35001
Polyanin, Andrei D.; Nazaikinskii, Vladimir E.
2016
Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds. Zbl 1357.82068
Maslov, V. P.; Nazaikinskii, V. E.
2016
On the rate of convergence to the Bose-Einstein distribution. Zbl 1338.82051
Maslov, V. P.; Nazaikinskii, V. E.
2016
Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. Zbl 1362.35170
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2016
Disinformation theory for bosonic computational media. Zbl 1349.82022
Maslov, V. P.; Nazaikinskii, V. E.
2016
On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. Zbl 1357.11095
Minenkov, D. S.; Nazaĭkinskiĭ, V. E.; Chernyshev, V. L.
2016
On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators. Zbl 1366.11105
Minenkov, D. S.; Nazaikinskiĭ, V. E.; Chernyshev, V. L.
2016
Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom. Zbl 1357.82067
Maslov, V. P.; Nazaikinskii, V. E.
2016
Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I.
2016
Volume and entropy in abstract analytic number theory and thermodynamics. Zbl 1362.82025
Maslov, V. P.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.
2016
Simple exact and asymptotic solutions of the 1D run-up problem over a slowly varying (quasiplanar) bottom. Zbl 1329.35246
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E.; Tirozzi, B.
2016
Remark on the inverse abstract prime number theorem. Zbl 1354.11062
Minenkov, D. S.; Nazaikinskiĭ, V. E.
2016
On a homogenization method for differential operators with oscillating coefficients. Zbl 1326.35022
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2015
The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary. Zbl 1330.53108
Nazaikinskii, V. E.
2014
Maslov’s canonical operator, Hörmander’s formula, and localization of the Berry-Balazs solution in the theory of wave beams. Zbl 1323.81031
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.
2014
Fourier integrals and a new representation of Maslov’s canonical operator near caustics. Zbl 1320.81058
Dobrokhotov, S. Yu.; Makrakis, G.; Nazaikinskii, V. E.
2014
On the representation of localized functions in $$\mathbb R^2$$ by the Maslov canonical operator. Zbl 1320.53100
Nazaikinskii, V. E.
2014
The localization problem in index theory of elliptic operators. Zbl 1297.58001
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris
2014
Maslov’s canonical operator for degenerate hyperbolic equations. Zbl 1316.35207
Nazaikinskii, V. E.
2014
New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. Zbl 1298.81091
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.; Tudorovskii, T. Ya.
2013
Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data. Zbl 1320.35180
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2013
On the entropy of a Bose-Maslov gas. Zbl 1269.82061
Nazaikinskii, V. E.
2013
Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side. Zbl 1263.35154
Dobrokhotov, Sergey; Minenkov, Dmitrii; Nazaikinskii, Vladimir; Tirozzi, Brunello
2013
On the asymptotics of the number of states for the Bose-Maslov gas. Zbl 1285.82048
Nazaikinskii, V. E.
2012
Phase space geometry for a wave equation degenerating on the boundary of the domain. Zbl 1308.58017
Nazaikinskii, V. E.
2012
The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. Zbl 1282.82064
Katsnelson, M. I.; Nazaikinskii, V. E.
2012
Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data. Zbl 1230.35057
Dobrokhotov, S. Yu.; Nazaĭkinskiĭ, V. E.; Tirozzi, B.
2011
Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions. Zbl 1234.35149
Nazaikinskii, V. E.
2011
Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I. Zbl 1387.35404
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2010
Asymptotic solutions of 2D wave equations with variable velocity and localized right-hand side. Zbl 1192.35110
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B.
2010
Atiyah-Bott index on stratified manifolds. Zbl 1301.58013
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
On the Poincaré isomorphism in $$K$$-theory on manifolds with edges. Zbl 1305.19003
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2010
On the distribution of integer random variables related by a certain linear inequality. I. Zbl 1150.82017
Maslov, V. P.; Nazaikinskii, V. E.
2008
On the distribution of integer random variables related by a certain linear inequality. II. Zbl 1153.82001
Maslov, V. P.; Nazaikinskii, V. E.
2008
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
2008
On the distribution of integer random variables satisfying two linear relations. Zbl 1219.60031
Maslov, V. P.; Nazaikinskii, V. E.
2008
On the distribution of integer random variables related by a certain linear inequality. III. Zbl 1202.82006
Maslov, V. P.; Nazaikinskii, V. E.
2008
On the distribution of integer random variables related by two linear inequalities. I. Zbl 1154.60076
Maslov, V. P.; Nazaikinskii, V. E.
2008
Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
Elliptic theory on manifolds with corners. II: homotopy classification and $$K$$-homology. Zbl 1205.58018
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris
2008
On the index of nonlocal elliptic operators. Zbl 1160.58010
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2008
Pseudodifferential operators on stratified manifolds. Zbl 1133.58023
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu
2007
On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2007
On a problem in probability theory. Zbl 1145.60016
Maslov, V. P.; Nazaikinskii, V. E.
2007
Tunnel canonical operator in thermodynamics. Zbl 1118.82040
Maslov, V. P.; Nazaikinskii, V. E.
2006
Elliptic theory on singular manifolds. Zbl 1084.58007
Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu.
2006
Surgery and the relative index in elliptic theory. Zbl 1133.58014
Nazaikinskii, V. E.; Sternin, B. Yu.
2006
Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
2006
Lefschetz theory on manifolds with singularities. Zbl 1118.58010
2006
On the index of elliptic operators on manifolds with edges. Zbl 1138.58310
Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu; Schulze, B.-W.
2005
Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039
Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu.
2005
Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W.
2005
Relative elliptic theory. Zbl 1090.58016
2004
Operator algebras on manifolds with isolated singularities. Zbl 1181.35358
Nazaikinskii, V. E.; Sternin, B. Yu.
2003
On the Green operator in relative elliptic theory. Zbl 1125.58302
Nazaikinskii, V. E.; Sternin, B. Yu.
2003
Quantization methods in differential equations. Zbl 1079.81040
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y.
2002
The index locality principle in elliptic theory. Zbl 1001.58017
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.
2001
Surgery and the relative index in elliptic theory. Zbl 1001.58016
2001
Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014
Nazaikinskij, V. E.; Sternin, B. Yu.
2000
A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030
Nazaikinskiĭ, V. E.; Sternin, B. Yu.
2000
The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor
1999
Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W.
1998
Methods of noncommutative analysis: theory and applications. Zbl 0876.47015
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1995
The complex Lagrangian germ and the canonical operator. Zbl 0920.58051
1995
Contact geometry and linear differential equations. Zbl 0813.58003
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu.
1992
Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. Zbl 0702.35002
Maslov, V. P.; Nazaĭkinskiĭ, V. E.
1988
Fourier integral operators and the canonical operator. Zbl 0507.58043
Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E.
1981
Asymptotics for equations with singularities in the characteristics. I. Zbl 0484.35009
Maslov, V. P.; Nazaĭkinskiĭ, V. E.
1981
Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. Zbl 0482.58028
Maslov, V. P.; Nazaĭkinskiĭ, V. E.
1979
On the quantization of rapidly oscillating symbols. Zbl 0391.47036
Karasev, M. V.; Nazaikinskii, V. E.
1978
On the quantization of rapidly oscillating symbols. Zbl 0417.47025
Karasev, M. V.; Nazaĭkinskiĭ, V. E.
1978
Numerical algorithm for problems of quadratic programming of high dimensionality. Zbl 0404.65036
Kurdyumov, I. V.; Mosolova, M. V.; Nazaikinskii, V. E.
1978
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#### Cited by 169 Authors

 77 Maslov, Viktor Pavlovich 56 Nazaikinskii, Vladimir E. 39 Dobrokhotov, Sergei Yurievich 26 Savin, Anton Yur’evich 19 Sternin, Boris Yur’evich 16 Tolchennikov, Anton A. 12 Minenkov, Dmitrii S. 9 Sergeev, Sergeĭ Alekseevich 8 Chernyshev, Vsevolod L. 8 Shafarevich, Andreĭ Igorevich 6 Anikin, A. Yu. 5 Maslova, T. V. 5 Schrohe, Elmar 5 Sipailo, P. A. 4 Lescure, Jean-Marie 4 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 4 Tirozzi, Brunello 4 Vasilyev, Vladimir Borisovich 3 Albeverio, Sergio A. 3 Allilueva, Anna I. 3 Arutyunov, Andronick Aramovich 3 Debord, Claire 3 Karasev, Mikhail Vladimirovich 3 Nielsen, Lance 3 Ruuge, Artur E. 3 Tsvetkova, Anna V. 2 Grushin, V. V. 2 Jefferies, Brian R. F. 2 Johnson, Gerald W. 2 Katsnelson, Mikhail I. 2 Kumar, Rakesh 2 Maeda, Yoshiaki 2 Makrakis, George N. 2 Maslov, A. V. 2 Medvedev, Sergeĭ Borisovich 2 Mishchenko, Aleksandr Sergeevich 2 Molotkov, I. A. 2 Nagaich, Rakesh Kumar 2 Novikova, E. M. 2 Omori, Hideki 2 Petrov, P. N. 2 Petrov, P. S. 2 Polyanin, Andrei D. 2 Prokhorova, Marina F. 2 Rani, Rachna 2 Schulze, Bert-Wolfgang 2 Shao, Yuanzhen 2 Yoshioka, Akira 1 Aidagulov, R. R. 1 Amann, Herbert 1 Andler, Martin 1 Anikin, Anatoly Y. 1 Arazy, Jonathan 1 Avendaño-Camacho, Misael 1 Battisti, Ubertino 1 Bedrikovetsky, Pavel G. 1 Bei, Francesco 1 Bertagni, M. B. 1 Bogaevskij, Il’ya Aleksandrovich 1 Bokovikov, Yu. G. 1 Boltachev, A. V. 1 Booss-Bavnbek, Bernhelm 1 Bova, J. I. 1 Brüning, Jochen 1 Cacciapuoti, Claudio 1 Camporeale, Carlo 1 Carlone, Raffaele 1 Carrillo-Rouse, Paulo 1 Chen, Nan 1 Chirkunov, Yuriĭ Aleksandrovich 1 Chronik, Blaine A. 1 Ciesielski, Mariusz 1 Coriasco, Sandro 1 Daletskii, Alexei 1 Dang, T. I. 1 de Gosson, Maurice Alexis 1 Dines, Nicoleta 1 Drago, Nicolò 1 Druzhkov, K. P. 1 Duggal, Krishan Lal 1 Dynnikov, Ivan Alekseevich 1 Engliš, Miroslav 1 Fang, Hui 1 Fishman, Louis 1 Gautesen, Arthur K. 1 Gogna, Manish 1 Harriott, Tina A. 1 Harutyunyan, Gohar V. 1 Hilberdink, Titus W. 1 Intissar, Ahmed 1 Izvarina, Natalia Romanovna 1 Kabanikhin, Sergeĭ Igorevich 1 Karaev, A. D. 1 Karaeva, D. A. 1 Khalkhali, Masoud 1 Khurshudyan, Asatur Zh. 1 Kim, Byoung Soo 1 Kim, Il Young 1 Kinoshita, Michio 1 Klevin, A. I. ...and 69 more Authors
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#### Cited in 75 Serials

 72 Mathematical Notes 59 Russian Journal of Mathematical Physics 19 Theoretical and Mathematical Physics 15 Doklady Mathematics 15 Differential Equations 7 Journal of Mathematical Sciences (New York) 4 Computational Mathematics and Mathematical Physics 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 Acta Applicandae Mathematicae 3 Abstract and Applied Analysis 3 Proceedings of the Steklov Institute of Mathematics 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Bulletin des Sciences Mathématiques 2 Regular and Chaotic Dynamics 2 Matematicheskoe Modelirovanie 2 Central European Journal of Mathematics 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Fluid Dynamics 1 General Relativity and Gravitation 1 Journal of Applied Mathematics and Mechanics 1 Journal of Fluid Mechanics 1 Russian Mathematical Surveys 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Annals of Global Analysis and Geometry 1 $$K$$-Theory 1 Journal of Economic Dynamics & Control 1 Asymptotic Analysis 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Applied and Computational Harmonic Analysis 1 Advances in Applied Clifford Algebras 1 Monte Carlo Methods and Applications 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 The Ramanujan Journal 1 Mathematical Physics, Analysis and Geometry 1 Geometry & Topology 1 European Journal of Mechanics. A. Solids 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Evolution Equations 1 Entropy 1 Mediterranean Journal of Mathematics 1 African Diaspora Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Fixed Point Theory and Applications 1 Advances in Applied Mathematics and Mechanics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Annals of $$K$$-Theory 1 Journal of Applied Mathematics and Computational Mechanics
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#### Cited in 44 Fields

 106 Partial differential equations (35-XX) 71 Statistical mechanics, structure of matter (82-XX) 55 Global analysis, analysis on manifolds (58-XX) 49 Quantum theory (81-XX) 37 Fluid mechanics (76-XX) 34 Differential geometry (53-XX) 27 Operator theory (47-XX) 20 Number theory (11-XX) 15 Functional analysis (46-XX) 15 Classical thermodynamics, heat transfer (80-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 $$K$$-theory (19-XX) 9 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 8 Geophysics (86-XX) 6 Ordinary differential equations (34-XX) 6 Mechanics of deformable solids (74-XX) 5 Combinatorics (05-XX) 5 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 4 Information and communication theory, circuits (94-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)