A. Yu. Anikin

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All published works

Action	Title	Year	Authors
+ PDF Chat	High-frequency two-dimensional asymptotic standing coastal trapped waves in nearly integrable case	2025	Vladislav V Rykhlov A. Yu. Anikin
+ PDF Chat	High-Frequency Two-Dimensional Asymptotic Standing Coastal-Trapped Waves in Nearly Integrable Case	2024	A. Yu. Anikin Vladislav V Rykhlov
+ PDF Chat	Uniformization and Semiclassical Asymptotics for a Class of Equations Degenerating on the Boundary of a Manifold	2023	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский А. А. Толченников
+	On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator	2022	A. Yu. Anikin S. Yu. Dobrokhotov Андрей Андреевич Шкаликов
+	Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves	2022	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский A. V. Tsvetkova
+	Constructive Semiclassical Asymptotics of Bound States of Graphene in a Constant Magnetic Field with Small Mass	2022	A. Yu. Anikin V. V. Rykhlov
+ PDF Chat	Semiclassical Green functions and Lagrangian intersection. Applications to the propagation of Bessel beams in non-homogeneous media	2021	A. Yu. Anikin Sergey Yur'evich Dobrokhotov В. Е. Назайкинский Michel Rouleux
+	Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states	2020	A. Yu. Anikin S. Yu. Dobrokhotov A. V. Tsvetkova
+	Diophantine Tori and Pragmatic Calculation of Quasimodes for Operators with Integrable Principal Symbol	2020	A. Yu. Anikin S. Yu. Dobrokhotov
+	Asymptotics of One-Dimensional Linear Standing Water Waves with Dispersion and Degeneracy on the Boundary	2020	A. Yu. Anikin
+	Semiclassical Asymptotic Behavior of the Lower Spectral Bands of the Schrödinger Operator with a Trigonal-Symmetric Periodic Potential	2020	A. Yu. Anikin Mariya Andreevna Vavilova
+	Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems	2019	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский A. V. Tsvetkova
+	Averaging and Spectral Bands for The 2-D Magnetic Schrödinger Operator with Growing and One-Direction Periodic Potential	2019	A. Yu. Anikin J. Brüning S. Yu. Dobrokhotov E. V. Vybornyi
+	Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the ▽D(x)▽ Operator in Dimension 2 and Trapped Coastal Waves	2019	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский A. V. Tsvetkova
+ PDF Chat	Asymptotic Solutions of the Wave Equation with Degenerate Velocity and with Right-Hand Side Localized in Space and Time	2018	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский
+	Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem	2018	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский
+	Semi-classical Green functions	2018	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский Michel Rouleux
+ PDF Chat	Semi-classical Green functions	2018	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский Michel Rouleux
+	Semi-classical Green functions	2018	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский Michel Rouleux
+	Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics	2017	A. Yu. Anikin S. Yu. Dobrokhotov A. I. Klevin B. Tirozzi
+	Asymptotics of Green function for the linear waves equations in a domain with a non-uniform bottom	2017	A. Yu. Anikin С. Ю. Доброхотов В. Е. Назайкинский Michel Rouleux
+ PDF Chat	The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides	2017	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский Michel Rouleux
+ PDF Chat	Asymptotics of Green function for the linear waves equations in a domain with a non-uniform bottom	2017	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский Michel Rouleux
+	Non-commutative normal form, spectrum and inverse problem	2017	A. Yu. Anikin
+	Asymptotics of Green function for the linear waves equations in a domain with a non-uniform bottom	2017	A. Yu. Anikin С. Ю. Доброхотов В. Е. Назайкинский Michel Rouleux
+	Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some “simple” solutions	2016	S. Yu. Dobrokhotov A. Yu. Anikin
+ PDF Chat	Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers	2016	A. Yu. Anikin S. Yu. Dobrokhotov M. I. Katsnelson
+	Multidimensional tunneling between potential wells at non degenerate minima	2014	A. Yu. Anikin Michel Rouleux
+ PDF Chat	Multidimensional tunneling between potential wells at non degenerate minima	2014	A. Yu. Anikin Michel Rouleux
+	Multidimensional tunneling between potential wells at non degenerate minima	2014	A. Yu. Anikin Michel Rouleux
+	Tunneling, Librations and Normal Forms in a Quantum Double Well with a Magnetic Field	2013	S. Yu. Dobrokhotov A. Yu. Anikin
+	Librations and ground-state splitting in a multidimensional double-well problem	2013	A. Yu. Anikin
+	Asymptotic behavior of the Maupertuis action on a libration and tunneling in a double well	2013	A. Yu. Anikin

Common Coauthors

Coauthor	Papers Together
S. Yu. Dobrokhotov	19
В. Е. Назайкинский	14
Michel Rouleux	11
A. V. Tsvetkova	4
V. V. Rykhlov	3
С. Ю. Доброхотов	2
Mariya Andreevna Vavilova	1
Sergey Yur'evich Dobrokhotov	1
A. I. Klevin	1
J. Brüning	1
B. Tirozzi	1
Андрей Андреевич Шкаликов	1
M. I. Katsnelson	1
А. А. Толченников	1
E. V. Vybornyi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Multiple wells in the semi-classical limit I	1984	Bernard Helffer Johannes Sjöstrand	9
+ PDF Chat	The semi-classical Maupertuis–Jacobi correspondence for quasi-periodic Hamiltonian flows with applications to linear water waves theory	2011	S. Yu. Dobrokhotov Michel Rouleux	7
+ PDF Chat	On the rate of asymptotic eigenvalue degeneracy	1978	Evans M. Harrell	6
+	Splitting amplitudes of the lowest energy levels of the Schr�dinger operator with double-well potential	1993	S. Yu. Dobrokhotov Vassili N. Kolokoltsov	5
+	The Maupertuis-Jacobi principle for Hamiltonians of the form F(x, \|p\|) in two-dimensional stationary semiclassical problems	2015	S. Yu. Dobrokhotov D. S. Minenkov Michel Rouleux	5
+	Asymptotic behavior of the Maupertuis action on a libration and tunneling in a double well	2013	A. Yu. Anikin	5
+	The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary	2014	В. Е. Назайкинский	5
+	Efficient Formulas for the Maslov Canonical Operator near a Simple Caustic	2018	S. Yu. Dobrokhotov В. Е. Назайкинский	4
+	Librations and ground-state splitting in a multidimensional double-well problem	2013	A. Yu. Anikin	4
+	Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems	2019	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский A. V. Tsvetkova	4
+	Second Order Equations With Nonnegative Characteristic Form	1973	O. A. Oleĭnik E. V. Radkevič	4
+	Quasiclassical asymptotics of a point-source function for the stationary Schr�dinger equation	1969	V. V. Kucherenko	4
+	Splitting of the lowest energy levels of the Schr�dinger equation and asymptotic behavior of the fundamental solution of the equation hut=h2?u/2?V(x)u	1991	S. Yu. Dobrokhotov Vassili N. Kolokoltsov V. P. Maslov	4
+	Semiclassical Analysis of Low Lying Eigenvalues, II. Tunneling	1984	Barry Simon	4
+	Phase space geometry for a wave equation degenerating on the boundary of the domain	2012	В. Е. Назайкинский	4
+	Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation	2016	S. Yu. Dobrokhotov В. Е. Назайкинский	3
+	New integral representations of the Maslov canonical operator in singular charts	2016	S. Yu. Dobrokhotov В. Е. Назайкинский А. И. Шафаревич	3
+ PDF Chat	The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides	2017	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский Michel Rouleux	3
+	Puits multiples en limite semi-classique. II. Interaction moléculaire. Symétries. Perturbation	1985	Bernard Helffer Johannes Sjöstrand	3
+	Asymptotic and geometric quantization	1984	M. V. Karasev V. P. Maslov	3
+	UNSTABLE CLOSED TRAJECTORIES, LIBRATIONS AND SPLITTING OF THE LOWEST EIGENVALUES IN QUANTUM DOUBLE WELL PROBLEM	2006	S. Yu. Dobrokhotov Евгений Сергеевич Семенов	3
+	The analysis of linear partial differential operators	1990	Lars Hörmander	3
+	Krein's formula and one-dimensional multiple-well	1983	J. M. Combes Pierre Duclos R. Seiler	3
+	High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope	1998	Anatoli Merzon P. Zhevandrov	3
+	Lagrangian Intersection and the Cauchy Problem	1979	Richard Melrose Günther Uhlmann	3
+	Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data	2013	S. Yu. Dobrokhotov В. Е. Назайкинский B. Tirozzi	3
+	Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations	2008	S. Yu. Dobrokhotov А. И. Шафаревич B. Tirozzi	3
+	Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem	2018	A. Yu. Anikin S. Yu. Dobrokhotov В. Е. Назайкинский	3
+	Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics	2020	S. Yu. Dobrokhotov В. Е. Назайкинский	3
+	On the asymptotics of a Bessel-type integral having applications in wave run-up theory	2017	S. Yu. Dobrokhotov В. Е. Назайкинский	3
+ PDF Chat	Erratum to: “Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data”	2014	S. Yu. Dobrokhotov В. Е. Назайкинский B. Tirozzi	3
+	Microlocal Analysis and Precise Spectral Asymptotics	1998	Victor Ivrii	3
+	Waves on the Free Surface Described by Linearized Equations of Hydrodynamics with Localized Right-Hand Sides	2018	S. Yu. Dobrokhotov В. Е. Назайкинский	3
+	Double Wells	1980	Evans M. Harrell	3
+ PDF Chat	Operator separation of variables for adiabatic problems in quantum and wave mechanics	2006	В. В. Белов S. Yu. Dobrokhotov T. Tudorovskiy	2
+	Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique	1987	Abderrahim Outassourt	2
+	Fourier integrals and a new representation of Maslov's canonical operator near caustics	2013	S. Yu. Dobrokhotov George N. Makrakis В. Е. Назайкинский	2
+	The Spectral Asymptotics of the Two-Dimensional Schrödinger operator with a Strong Magnetic Field	2004	J. Bruening S. Yu. Dobrokhotov Konstantin Pankrashkin	2
+ PDF Chat	Estimations de l'effet tunnel pour le double puits. II : états hautement excités	1988	André Martinez	2
+	Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold	2016	S. Yu. Dobrokhotov В. Е. Назайкинский А. И. Шафаревич	2
+	Graphene: carbon in two dimensions	2006	M. I. Katsnelson	2
+	The Spectral Asymptotics of the Two-Dimensional Schrodinger Operator with a Strong Magnetic Field. II	2002	Konstantin Pankrashkin	2
+	Splitting Formulas for the Higher and Lower Energy Levels of the One-Dimensional Schrödinger Operator	2004	Sergio Albeverio S. Yu. Dobrokhotov Евгений Сергеевич Семенов	2
+	Tunneling in Two Dimensions	2006	Giovanni Bellettini Anna De Masi Nicolas Dirr E. Presutti	2
+ PDF Chat	Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data	2011	S. Yu. Dobrokhotov V. E. Nazaĭkinskiĭ B. Tirozzi	2
+ PDF Chat	Width of shape resonances for non globally analytic potentials	2011	Setsuro Fujiié Amina Lahmar‐Benbernou André Martínez	2
+ PDF Chat	Nonlinear dynamics of dimers on periodic substrates	2003	Claudio Fusco A. Fasolino Τ. Janssen	2
+	Tunneling, Librations and Normal Forms in a Quantum Double Well with a Magnetic Field	2013	S. Yu. Dobrokhotov A. Yu. Anikin	2
+	The asymptotic eigenfunctions of the operator ∇D(x, y)∇ corresponding to Liouville metrics and waves on water captured by bottom irregularities	1996	Vladimir S. Matveev	2
+ PDF Chat	Spectral asymptotics via the semiclassical Birkhoff normal form	2008	Laurent Charles San Vũ Ngọc	2