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Found 124 Documents (Results 1–100)

On the delocalization of a quantum particle under the adiabatic evolution generated by a one-dimensional Schrödinger operator. (English. Russian original) Zbl 1507.35219

Math. Notes 112, No. 5, 726-740 (2022); translation from Mat. Zametki 112, No. 5, 752-769 (2022).
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Optimal two-sided estimates on the interval \([\pi/2,\pi]\) of the sum of the sine series with convex coefficient sequence. (English. Russian original) Zbl 07581899

Math. Notes 112, No. 2, 328-331 (2022); translation from Mat. Zametki 112, No. 2, 317-320 (2022).
MSC:  42A24
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Asymptotics of the head wave in the Cauchy problem for a difference scheme corresponding to the two-dimensional wave equation with localized initial data. (English. Russian original) Zbl 1482.65154

Math. Notes 109, No. 6, 918-931 (2021); translation from Mat. Zametki 109, No. 6, 884-900 (2021).
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Asymptotics of the solution of a wave equation with radially symmetric velocity on the simplest decorated graph with arbitrary boundary conditions at the gluing point. (English. Russian original) Zbl 1442.35041

Math. Notes 107, No. 3, 478-487 (2020); translation from Mat. Zametki 107, No. 3, 442-453 (2020).
MSC:  35B40 35L15
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Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1432.35025

Math. Notes 106, No. 3, 402-411 (2019); translation from Mat. Zametki 106, No. 3, 424-435 (2019).
MSC:  35B40 58J40 53D12
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Exact step-like solutions of one-dimensional shallow-water equations over a sloping bottom. (English. Russian original) Zbl 1415.35226

Math. Notes 104, No. 6, 915-921 (2018); translation from Mat. Zametki 104, No. 6, 930-936 (2018).
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On the behavior of solutions of initial boundary-value problems for a hyperbolic equation with periodic coefficients. (English. Russian original) Zbl 1409.35133

Math. Notes 104, No. 5, 762-766 (2018); translation from Mat. Zametki 104, No. 5, 785-789 (2018).
MSC:  35L20 35B10 35B40
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Estimates with sharp constants of the sums of sine series with monotone coefficients of certain classes in terms of the Salem majorant. (English. Russian original) Zbl 1412.42012

Math. Notes 104, No. 5, 702-711 (2018); translation from Mat. Zametki 104, No. 5, 725-736 (2018).
MSC:  42A32 42A05
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Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. (English. Russian original) Zbl 1420.35151

Math. Notes 104, No. 4, 471-488 (2018); translation from Mat. Zametki 104, No. 4, 483-504 (2018).
MSC:  35L20 35B40
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On the behavior of the solution of the Cauchy problem for an inhomogeneous hyperbolic equation with periodic coefficients. (English. Russian original) Zbl 1380.35024

Math. Notes 102, No. 3, 424-428 (2017); translation from Mat. Zametki 102, No. 3, 470-474 (2017).
MSC:  35B40 35L20 35B10
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Triviality of bounded solutions of the stationary Ginzburg-Landau equation on spherically symmetric manifolds. (English. Russian original) Zbl 1368.58010

Math. Notes 101, No. 2, 208-218 (2017); translation from Mat. Zametki 101, No. 2, 186-198 (2017).
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Behavior of the solution of the Cauchy problem for a hyperbolic equation with periodic coefficients. (English. Russian original) Zbl 1362.35168

Math. Notes 100, No. 5, 751-754 (2016); translation from Mat. Zametki 100, No. 5, 766-769 (2016).
MSC:  35L15 35C10 35B40
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Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. (English. Russian original) Zbl 1362.35170

Math. Notes 100, No. 5, 695-713 (2016); translation from Mat. Zametki 100, No. 5, 710-731 (2016).
MSC:  35L20 35L80 35B40
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Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities. (English. Russian original) Zbl 1351.35121

Math. Notes 99, No. 6, 795-809 (2016); translation from Mat. Zametki 99, No. 6, 803-819 (2016).
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Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution. (English. Russian original) Zbl 1315.35162

Math. Notes 95, No. 3, 374-387 (2014); translation from Mat. Zametki 95, No. 3, 417-432 (2014).
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Homogenization in the problem of long water waves over a bottom site with fast oscillations. (English. Russian original) Zbl 1315.35165

Math. Notes 95, No. 3, 324-337 (2014); translation from Mat. Zametki 95, No. 3, 359-375 (2014).
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Asymptotics of the spectrum and quantum averages near the boundaries of spectral clusters for perturbed two-dimensional oscillators. (English. Russian original) Zbl 1260.81089

Math. Notes 92, No. 4, 532-543 (2012); translation from Mat. Zametki 92, No. 4, 583-596 (2012).
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On the property of higher integrability for parabolic systems of variable order of nonlinearity. (English. Russian original) Zbl 1204.35060

Math. Notes 87, No. 2, 169-188 (2010); translation from Mat. Zametki 87, No. 2, 179-200 (2010).
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Localization principle and an estimate of the rate of damping of oscillations in a viscous compressible stratified liquid. (English. Russian original) Zbl 1181.35192

Math. Notes 85, No. 4, 558-565 (2009); translation from Mat. Zametki 85, No. 4, 585-593 (2009).
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On the behavior of large values of the time required for solving the second boundary-value problem for the Barenblatt-Zheltov-Kochina equation in an unbounded domain. (English. Russian original) Zbl 1184.35065

Math. Notes 86, No. 2, 290-292 (2009); translation from Mat. Zametki 86, No. 2, 318-320 (2009).
MSC:  35B40 35K70
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On the blow-up of the solution of a strongly nonlinear equation of pseudoparabolic type with double nonlinearity. (English. Russian original) Zbl 1145.35410

Math. Notes 79, No. 6, 820-840 (2006); translation from Mat. Zametki 79, No. 6, 879-899 (2006).
MSC:  35K70 35B40 35K15
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Asymptotic behavior of the normalized eigenfunctions of a Sturm-Liouville type operator for partial differential equations in the \(N\)-dimensional ball. (English. Russian original) Zbl 0964.35108

Math. Notes 65, No. 4, 519-521 (1999); translation from Mat. Zametki 65, No. 4, 622-625 (1999).
MSC:  35P20 35B40 34L20
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Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary. (English. Russian original) Zbl 0969.35088

Math. Notes 66, No. 3, 316-322 (1999); translation from Mat. Zametki 66, No. 3, 393-400 (1999).
MSC:  35L20 35B40 35L05
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Spectral properties of Sturm-Liouville operators in the space of vector functions. (English. Russian original) Zbl 0966.34076

Math. Notes 65, No. 6, 781-786 (1999); translation from Mat. Zametki 65, No. 6, 932-938 (1999).
MSC:  34L20 34B24
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Asymptotic behavior of solutions to linear homogeneous second-order difference equations. (English. Russian original) Zbl 0951.39003

Math. Notes 66, No. 2, 167-170 (1999); translation from Mat. Zametki 66, No. 2, 211-215 (1999).
MSC:  39A11
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A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. (English. Russian original) Zbl 0920.34023

Math. Notes 63, No. 3, 311-318 (1998); translation from Mat. Zametki 63, No. 3, 354-362 (1998).
MSC:  34B15 34E15 34E10
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Asymptotics of eigenvalues and eigenfunctions of the Sturm-Liouville problem with a small parameter and a spectral parameter in the boundary condition. (English. Russian original) Zbl 0903.34021

Math. Notes 60, No. 4, 456-458 (1996); translation from Mat. Zametki 60, No. 4, 609-611 (1996).
MSC:  34B24 34L20 34L15
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Asymptotics as \(t\to\infty\) of the solutions of nonlinear equations with nonsmall initial perturbations. (English. Russian original) Zbl 0881.35016

Math. Notes 59, No. 6, 618-624 (1996); translation from Mat. Zametki 59, No. 6, 855-864 (1996).
MSC:  35B40 35L65 35Q53
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Distribution of values of linear functions and asymptotic behavior of trajectories of some dynamical systems. (English. Russian original) Zbl 0857.11037

Math. Notes 58, No. 3, 948-959 (1995); translation from Mat. Zametki 58, No. 3, 394-410 (1995).
MSC:  11K38 11J54 26B15
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Estimate of the rate of stabilization of the solution of the first initial-boundary problem for the equation of a porous medium in an unbounded region. (English. Russian original) Zbl 0845.35058

Math. Notes 57, No. 3, 329-311 (1995); translation from Mat. Zametki 57, No. 3, 473-476 (1995).
MSC:  35K65 35B40 76S05
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On the solvability of nonlinear equations of Schrödinger type in the class of rapidly oscillating functions. (English. Russian original) Zbl 0854.35108

Math. Notes 56, No. 1, 673-678 (1994); translation from Mat. Zametki 56, No. 1, 32-40 (1994).
MSC:  35Q55 35B40 35C20
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Trajectories covering flows for branched coverings of the sphere and projective plane. (English. Russian original) Zbl 0810.57009

Math. Notes 53, No. 5, 463-468 (1993); translation from Mat. Zametki 53, No. 5, 3-13 (1993).
MSC:  57N05 37C85 57M50 37D99 57R30 57M12
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The asymptotics for \(t\to \infty\) of the solution of the problem of the collapse of the intrusion spot in a viscous stratified fluid. (English. Russian original) Zbl 0855.76090

Math. Notes 53, No. 1, 12-18 (1993); translation from Mat. Zametki 53, No. 1, 16-24 (1993).
MSC:  76V05 35Q35 35B40
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Behavior as \(t\to+\infty\) of positive solutions of the first boundary value problem for semilinear parabolic equations. (English. Russian original) Zbl 0770.35030

Math. Notes 50, No. 3, 893-898 (1991); translation from Mat. Zametki 50, No. 3, 12-19 (1991).
MSC:  35K55 35B40
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Asymptotic approximation of a periodic solution of the second boundary- value problem for systems with small diffusion. (English. Russian original) Zbl 0741.35026

Math. Notes 49, No. 5, 463-466 (1991); translation from Mat. Zametki 49, No. 5, 32-36 (1991).
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Estimates from below for unbounded solutions of a quasilinear parabolic system of equations. (English. Russian original) Zbl 0712.35019

Math. Notes 47, No. 2, 111-116 (1990); translation from Mat. Zametki 47, No. 2, 8-14 (1990).
Reviewer: L.Kaljakin
MSC:  35B45 35K55 35K50 35B40
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