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Author ID: anikin.a-yu Recent zbMATH articles by "Anikin, A. Yu."
Published as: Anikin, A. Yu.
Documents Indexed: 27 Publications since 2008
Co-Authors: 15 Co-Authors with 22 Joint Publications
413 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

21 Publications have been cited 87 times in 56 Documents Cited by Year
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.
21
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.
15
2018
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.
8
2017
Asymptotic behavior of the Maupertuis action on a libration and tunneling in a double well. Zbl 1276.81047
Anikin, A. Yu.
7
2013
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.
5
2019
Quantum Birkhoff normal forms. Zbl 1192.81145
Anikin, A. Yu.
4
2009
Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. Zbl 1453.81024
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Tsvetkova, A. V.
4
2020
Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics. Zbl 1393.82023
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Klevin, A. I.; Tirozzi, B.
3
2017
Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls. Zbl 1418.37094
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
3
2019
Normal form of a quantum Hamiltonian with one and a half degrees of freedom near a hyperbolic fixed point. Zbl 1229.81126
Anikin, A.
2
2008
Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers. Zbl 1349.81096
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Katsnelson, M. I.
2
2016
Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some “simple” solutions. Zbl 1362.35169
Dobrokhotov, S. Yu.; Anikin, A. Yu.
2
2016
Averaging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potential. Zbl 1426.81034
Anikin, A. Yu.; Brüning, J.; Dobrokhotov, S. Yu.; Vybornyi, E. V.
2
2019
Diophantine tori and pragmatic calculation of quasimodes for operators with integrable principal symbol. Zbl 1452.37071
Anikin, A. Yu.; Dobrokhotov, S. Yu.
2
2020
Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves. Zbl 1485.35307
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
2
2022
Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides. Zbl 1519.35061
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M.
2
2023
Librations and ground-state splitting in a multidimensional double-well problem. Zbl 1286.81054
Anikin, A. Yu.
2
2013
Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential. Zbl 1394.82019
Anikin, A.; Brüning, J.; Dobrokhotov, S. Yu.
1
2017
Asymptotics of one-dimensional linear standing water waves with dispersion and degeneracy on the boundary. Zbl 1450.76004
Anikin, A. Yu.
1
2020
Semiclassical asymptotic behavior of the lower spectral bands of the Schrödinger operator with a trigonal-symmetric periodic potential. Zbl 1445.81022
Anikin, A. Yu.; Vavilova, M. A.
1
2020
On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. Zbl 1517.81051
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Shkalikov, A. A.
1
2022
Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides. Zbl 1519.35061
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M.
2
2023
Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves. Zbl 1485.35307
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
2
2022
On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. Zbl 1517.81051
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Shkalikov, A. A.
1
2022
Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. Zbl 1453.81024
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Tsvetkova, A. V.
4
2020
Diophantine tori and pragmatic calculation of quasimodes for operators with integrable principal symbol. Zbl 1452.37071
Anikin, A. Yu.; Dobrokhotov, S. Yu.
2
2020
Asymptotics of one-dimensional linear standing water waves with dispersion and degeneracy on the boundary. Zbl 1450.76004
Anikin, A. Yu.
1
2020
Semiclassical asymptotic behavior of the lower spectral bands of the Schrödinger operator with a trigonal-symmetric periodic potential. Zbl 1445.81022
Anikin, A. Yu.; Vavilova, M. A.
1
2020
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.
21
2019
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.
5
2019
Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls. Zbl 1418.37094
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V.
3
2019
Averaging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potential. Zbl 1426.81034
Anikin, A. Yu.; Brüning, J.; Dobrokhotov, S. Yu.; Vybornyi, E. V.
2
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.
15
2018
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.
8
2017
Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics. Zbl 1393.82023
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Klevin, A. I.; Tirozzi, B.
3
2017
Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential. Zbl 1394.82019
Anikin, A.; Brüning, J.; Dobrokhotov, S. Yu.
1
2017
Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers. Zbl 1349.81096
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Katsnelson, M. I.
2
2016
Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some “simple” solutions. Zbl 1362.35169
Dobrokhotov, S. Yu.; Anikin, A. Yu.
2
2016
Asymptotic behavior of the Maupertuis action on a libration and tunneling in a double well. Zbl 1276.81047
Anikin, A. Yu.
7
2013
Librations and ground-state splitting in a multidimensional double-well problem. Zbl 1286.81054
Anikin, A. Yu.
2
2013
Quantum Birkhoff normal forms. Zbl 1192.81145
Anikin, A. Yu.
4
2009
Normal form of a quantum Hamiltonian with one and a half degrees of freedom near a hyperbolic fixed point. Zbl 1229.81126
Anikin, A.
2
2008

Citations by Year