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Found 58 Documents (Results 1–58)

The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium. (English. Russian original) Zbl 1519.35311

St. Petersbg. Math. J. 34, No. 4, 635-693 (2023); translation from Algebra Anal. 34, No. 4, 107-187 (2022).
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Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1508.37081

St. Petersbg. Math. J. 33, No. 6, 995-1009 (2022); translation from Algebra Anal. 33, No. 6, 141-161 (2021).
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Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues. (English. Russian original) Zbl 1506.34108

St. Petersbg. Math. J. 33, No. 4, 697-709 (2022); translation from Algebra Anal. 33, No. 4, 155-172 (2021).
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Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain. (English. Russian original) Zbl 1485.35310

St. Petersbg. Math. J. 33, No. 2, 283-325 (2022); translation from Algebra Anal. 33, No. 2, 136-196 (2021).
MSC:  35P20 35B25 35J25
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Singular matrix conjugacy problem with rapidly oscillating off-diagonal entries. Asymptotics of the solution in the case when a diagonal entry vanishes at a stationary point. (English. Russian original) Zbl 1483.35144

St. Petersbg. Math. J. 32, No. 5, 847-864 (2021); translation from Algebra Anal. 32, No. 5, 37-61 (2020).
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Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial. (English. Russian original) Zbl 1385.39001

St. Petersbg. Math. J. 29, No. 2, 363-381 (2018); translation from Algebra Anal. 29, No. 2, 193-219 (2017).
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Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities. (English. Russian original) Zbl 1364.35356

St. Petersbg. Math. J. 28, No. 4, 507-554 (2017); translation from Algebra Anal. 28, No. 4, 102-170 (2016).
MSC:  35Q61
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Spectral analysis of a fourth-order differential operator with periodic and antiperiodic boundary conditions. (English. Russian original) Zbl 1360.34171

St. Petersbg. Math. J. 27, No. 5, 789-811 (2016); translation from Algebra Anal. 27, No. 5, 117-152 (2015).
MSC:  34L20 34L05
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Discrete spectrum of a periodic Schrödinger operator with variable metric perturbed by a nonnegative rapidly decaying potential. (English. Russian original) Zbl 1409.35161

St. Petersbg. Math. J. 27, No. 2, 317-326 (2016); translation from Algebra Anal. 27, No. 2, 196-210 (2015).
MSC:  35P20 35J10 47F05
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Oscillation method in the spectral problem for a fourth order differential operator with a self-similar weight. (English. Russian original) Zbl 1343.34193

St. Petersbg. Math. J. 27, No. 2, 237-244 (2016); translation from Algebra Anal. 27, No. 2, 83-95 (2015).
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Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted \(L_2\)-norms. (English. Russian original) Zbl 1301.60045

St. Petersbg. Math. J. 25, No. 3, 455-466 (2014); translation from Algebra Anal. 25, No. 3, 131-146 (2013).
MSC:  60G15
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Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory. (English. Russian original) Zbl 1304.37054

St. Petersbg. Math. J. 25, No. 2, 223-240 (2014); translation from Algebra Anal. 25, No. 2, 101-124 (2013).
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Quasiclassical asymptotics for solutions of the matrix conjugation problem with rapid oscillation of off-diagonal entries. (English. Russian original) Zbl 1311.35174

St. Petersbg. Math. J. 25, No. 2, 205-222 (2014); translation from Algebra Anal. 25, No. 2, 75-100 (2013).
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Asymptotics of eigenvalues in a problem of high even order with discrete self-similar weight. (English. Russian original) Zbl 1280.34088

St. Petersbg. Math. J. 24, No. 2, 263-273 (2013); translation from Algebra Anal. 24, No. 2, 104-119 (2012).
MSC:  34L20 34B05 34B24
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On the mathematical work of M. Sh. Birman. (English. Russian original) Zbl 1236.01029

St. Petersbg. Math. J. 23, No. 1, 1-38 (2012); translation from Algebra Anal. 23, No. 1, 5-60 (2011).
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On the asymptotics of polynomials orthogonal on a system of curves with respect to a measure with discrete part. (English. Russian original) Zbl 1197.42014

St. Petersbg. Math. J. 21, No. 2, 217-230 (2010); translation from Algebra Anal. 21, No. 2, 71-91 (2009).
MSC:  42C05 30E15
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Dirichlet problem in an angular domain with rapidly oscillating boundary: Modeling of the problem and asymptotics of the solution. (English. Russian original) Zbl 1156.35012

St. Petersbg. Math. J. 19, No. 2, 297-326 (2008); translation from Algebra Anal. 19, No. 2, 183-225 (2007).
MSC:  35B40 35J25
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Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint. (English. Russian original) Zbl 1260.35092

St. Petersbg. Math. J. 18, No. 5, 681-697 (2007); translation from Algebra Anal. 18, No. 5, 1-22 (2006).
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Asymptotic dependence of the extreme eigenvalues of truncated Toeplitz matrices on the rate at which the symbol attains its extremum. (English. Russian original) Zbl 1091.47024

St. Petersbg. Math. J. 16, No. 4, 713-718 (2005); translation from Algebra Anal. 16, No. 4, 146-152 (2004).
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On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points. (English. Russian original) Zbl 1073.35153

St. Petersbg. Math. J. 16, No. 3, 477-506 (2005); translation from Algebra Anal. 16, No. 3, 56-98 (2004).
MSC:  35L55 35L20 35B40
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The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. (English. Russian original) Zbl 0998.35050

St. Petersbg. Math. J. 12, No. 5, 761-789 (2001); translation from Algebra Anal. 12, No. 5, 64-105 (2001).
MSC:  35Q55 35B40 47G30
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On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. (English. Russian original) Zbl 0954.35104

St. Petersbg. Math. J. 11, No. 3, 497-534 (2000); translation from Algebra Anal. 11, No. 3, 140-195 (1999).
MSC:  35L55 35L20
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Arising and disappearance of the discrete spectrum in a gap of a second order periodic operator under decaying perturbations of variable sign. (English. Russian original) Zbl 0891.35110

St. Petersbg. Math. J. 9, No. 1, 107-120 (1998); translation from Algebra Anal. 9, No. 1, 148-166 (1997).
MSC:  35P20 47A55
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Approximation of unbounded domains by bounded domains. Boundary value problems for the Lamé operator. (English. Russian original) Zbl 0888.35006

St. Petersbg. Math. J. 8, No. 5, 879-912 (1997); translation from Algebra Anal. 8, No. 5, 239-268 (1996).
MSC:  35A35 35J25
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Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. (English. Russian original) Zbl 0860.35088

St. Petersbg. Math. J. 6, No. 3, 453-474 (1995); translation from Algebra Anal. 6, No. 3, 17-39 (1994).
MSC:  35P25 47A40 35J10
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Spectral asymptotic for \(N\)-particle Schrödinger operators with a homogeneous magnetic field on subspaces with fixed \(SO(2)\)-symmetry. (English. Russian original) Zbl 0824.35092

St. Petersb. Math. J. 5, No. 2, 317-332 (1994); translation from Algebra Anal. 5, No. 2, 108-125 (1993).
MSC:  35P20 81V70 35A30
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Semiclassical integral equations with slowly decreasing kernels on finite domains. (English. Russian original) Zbl 0794.45001

St. Petersbg. Math. J. 5, No. 1, 141-158 (1994); translation from Algebra Anal. 5, No. 1, 160-178 (1993).
Reviewer: J.F.Toland (Bath)
MSC:  45A05 45M05 45E10
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Asymptotics of the discrete spectrum of the Hamiltonians of multiparticle quantum systems in a homogeneous magnetic field. (English. Russian original) Zbl 0791.47058

St. Petersbg. Math. J. 3, No. 6, 1313-1349 (1992); translation from Algebra Anal. 3, No. 6, 119-154 (1991).
MSC:  47N50 81Q10 81Q15
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