Edit Profile (opens in new tab) Smirnov, Yury G. Compute Distance To: Compute Author ID: smirnov.yury-g Published as: Smirnov, Yu. G.; Smirnov, Yury; Smirnov, Yury G.; Smirnov, Yu.; Smirnov, Yuri G.; Smirnov, Y. G.; Smirnov, Youri; Smirnov, Yu G.; Smirnov, Y. Homepage: https://izvuz_fmn_eng.pnzgu.ru/Smirnov External Links: ORCID Documents Indexed: 96 Publications since 1988, including 1 Book 1 Contribution as Editor Co-Authors: 25 Co-Authors with 67 Joint Publications 174 Co-Co-Authors all top 5 Co-Authors 13 single-authored 14 Valovik, Dmitry V. 12 Shestopalov, Yuri V. 11 Smol’kin, Eugenii Yu. 10 Smolkin, Eugene 9 Medvedik, M. Yu. 3 Kurseeva, Valeria Yu. 3 Snegur, M. O. 2 Derevyanchuk, Ekaterina D. 2 Kurseeva, Valery 2 Mitridate, Andrea 2 Moskaleva, M. A. 2 Platscher, Moritz 2 Redi, Michele 2 Samokhin, Aleksandr Borisovich 2 Strumia, Alessandro 2 Tsupak, Aleksei A. 1 Angermann, Lutz 1 Bartelmann, Matthias 1 Beilina, Larisa 1 Evstigneev, Roman O. 1 Helmboldt, Alexander J. 1 Humbert, Pascal 1 Ilyinsky, A. S. 1 Ivakhnenko, V. I. 1 Kupriyanova, S. N. 1 Lindner, Manfred 1 Meyer, Sven 1 Mironov, D. A. 1 Schürmann, Hans W. 1 Shutkov, A. S. 1 Slavin, I. V. 1 Tsupak, Aleksey A. 1 Tyrtyshnikov, Evgeniĭ Evgen’evich 1 Yatsyk, Vasyl V. all top 5 Serials 12 Computational Mathematics and Mathematical Physics 12 Differential Equations 9 Applicable Analysis 9 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 7 Lobachevskii Journal of Mathematics 4 Journal of Mathematical Physics 4 Doklady Mathematics 3 Journal of Cosmology and Astroparticle Physics 2 Inverse Problems 2 Wave Motion 2 Differential Equations 2 Computational Mathematics and Modeling 2 Journal of High Energy Physics 2 Mathematical Modelling and Analysis 2 Inverse Problems in Science and Engineering 2 Advances in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Differentsial’nye Uravneniya 1 SIAM Journal on Applied Mathematics 1 Russian Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Nonlinear Mathematical Physics 1 Matematicheskoe Modelirovanie 1 International Journal of Pure and Applied Mathematics 1 Advances in Numerical Analysis 1 Applied Mathematics 1 ISRN Mathematical Physics 1 Springer Proceedings in Mathematics & Statistics 1 Springer Series in Optical Sciences all top 5 Fields 81 Optics, electromagnetic theory (78-XX) 57 Partial differential equations (35-XX) 19 Integral equations (45-XX) 19 Numerical analysis (65-XX) 11 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 6 Potential theory (31-XX) 5 Relativity and gravitational theory (83-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 320 times in 116 Documents Cited by ▼ Year ▼ On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity. Zbl 1353.78020Smirnov, Yu. G.; Valovik, D. V. 16 2016 Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. Zbl 1384.78008Smirnov, Yu. G.; Smolkin, E. Yu. 15 2017 Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section. Zbl 1397.78043Smirnov, Yu. G.; Smolkin, E. Yu. 15 2018 Integral equation approach for the propagation of TE-waves in a nonlinear dielectric cylindrical waveguide. Zbl 1067.35122Smirnov, Y.; Schürmann, H. W.; Shestopalov, Y. 14 2004 Coupled electromagnetic transverse-electric-transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity. Zbl 1282.78026Smirnov, Yury G.; Valovik, Dmitry V. 13 2013 Problem of nonlinear coupled electromagnetic TE-TE wave propagation. Zbl 1296.78006Smirnov, Yury G.; Valovik, Dmitry V. 11 2013 Eigenwaves in waveguides with dielectric inclusions: spectrum. Zbl 1294.78013Shestopalov, Yury; Smirnov, Yury 11 2014 Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity. Zbl 1251.78011Smirnov, Yu G.; Valovik, D. V. 11 2012 Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity. Zbl 1278.78004Smirnov, Yury G.; Valovik, Dmitry V. 10 2012 Eigenwaves in waveguides with dielectric inclusions: completeness. Zbl 1301.78006Shestopalov, Yury; Smirnov, Yury 10 2014 Minimal conformal extensions of the Higgs sector. Zbl 1380.81235Helmboldt, Alexander J.; Humbert, Pascal; Lindner, Manfred; Smirnov, Juri 8 2017 Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides. Zbl 1322.78013Smirnov, Yu. G. 8 2015 The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium. Zbl 1114.78002Kupriyanova, S. N.; Smirnov, Yu. G. 8 2004 Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1313.78028Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 7 2014 Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body. Zbl 1252.35288Valovik, D. V.; Smirnov, Yu. G. 7 2012 Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization. Zbl 1416.78015Smirnov, Yu. G.; Smolkin, E. Yu.; Snegur, M. O. 7 2018 Operator function method in the problem of normal waves in an inhomogeneous waveguide. Zbl 1414.78010Smirnov, Yu. G.; Smol’kin, E. Yu. 7 2018 Determination of permittivity of an inhomogeneous dielectric body in a waveguide. Zbl 1227.78014Shestopalov, Yury; Smirnov, Yury 6 2011 Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation. Zbl 1210.49030Smirnov, Yu. G. 6 2007 Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements. Zbl 1382.76220Evstigneev, Roman O.; Medvedik, M. Yu.; Smirnov, Yu. G. 6 2016 Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1342.35371Smirnov, Y. G.; Tsupak, A. A. 6 2015 Two-step method for solving inverse problem of diffraction by an inhomogenous body. Zbl 1402.78013Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 6 2018 Nonlinear double-layer Bragg waveguide: analytical and numerical approaches to investigate waveguiding problem. Zbl 1295.78014Smirnov, Yury G.; Smol’kin, Eugenii Yu.; Valovik, Dmitry V. 6 2014 Operator-bundle method for conjugation boundary-value problems for a system of elliptic equations. Zbl 0768.35022Smirnov, Yu. G. 5 1991 On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides. Zbl 1384.78007Kurseeva, V. Yu.; Smirnov, Yu. G. 5 2017 Dark matter as a weakly coupled dark baryon. Zbl 1383.83237Mitridate, Andrea; Redi, Michele; Smirnov, Juri; Strumia, Alessandro 5 2017 On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation. Zbl 1364.35353Smirnov, Yu. G. 5 2016 Method of integral equations in the scalar problem of diffraction on a system consisting of a “soft” and a “hard” screen and an inhomogeneous body. Zbl 1312.65203Smirnov, Yu. G.; Tsupak, A. A. 4 2014 Investigation of electromagnetic diffraction by a dielectric body in a waveguide using the method of volume singular integral equation. Zbl 1221.78027Kobayashi, K.; Shestopalov, Yu.; Smirnov, Yu. 4 2009 Existence and uniqueness of a solution to the inverse problem of the complex permittivity reconstruction of a dielectric body in a waveguide. Zbl 1426.78025Shestopalov, Yury; Smirnov, Yury 4 2010 Boundary eigenvalue problem for Maxwell equations in a nonlinear dielectric layer. Zbl 1213.35217Smirnov, Yury G.; Valovik, Dmitry V. 4 2010 The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide. Zbl 07024352Smirnov, Yury; Smolkin, Eugene; Kurseeva, Valery 4 2019 On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium. Zbl 07213352Smirnov, Yury; Smolkin, Eugene 4 2018 The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape. Zbl 0831.45009Smirnov, Yu. G. 3 1994 Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid. Zbl 1394.35490Smirnov, Yury; Tsupak, Aleksey A. 3 2018 Eigenwaves in a lossy metal-dielectric waveguide. Zbl 1433.78032Smirnov, Yury; Smolkin, Eugene 3 2020 On the volume singular integro-differential equation approach for the electromagnetic diffraction problem. Zbl 1360.35267Smirnov, Yu. G.; Tsupak, A. A.; Valovik, D. V. 3 2017 Long range effects in gravity theories with Vainshtein screening. Zbl 07462645Platscher, Moritz; Smirnov, Juri; Meyer, Sven; Bartelmann, Matthias 3 2018 Degravitation of the cosmological constant in bigravity. Zbl 07466014Platscher, Moritz; Smirnov, Juri 3 2017 Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body. Zbl 1331.65166Smirnov, Yu. G.; Tsupak, A. A. 2 2015 A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a nonlinear layer. Zbl 1177.78050Valovik, D. V.; Smirnov, Yu. G. 2 2008 On the Fredholm property of a system of pseudodifferential equations in a diffraction problem on a bounded screen. Zbl 0769.35077Smirnov, Yu. G. 2 1992 Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides. Zbl 1299.78015Valovik, D. V.; Smirnov, Yu. G.; Smol’kin, E. Yu. 2 2013 On the problem of electromagnetic waves propagating along a nonlinear inhomogeneous cylindrical waveguide. Zbl 1273.78010Smirnov, Yury G.; Valovik, Dmitry V. 2 2013 On the uniqueness of a solution to an inverse problem of scattering by an inhomogeneous solid with a piecewise Hölder refractive index in a special function class. Zbl 1420.35473Smirnov, Yu. G.; Tsupak, A. A. 2 2019 On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body. Zbl 1379.78010Smirnov, Yu. G.; Tsupak, A. A. 2 2017 Problem of coupled electromagnetic TE-TE wave propagation in a layer filled with nonlinear medium with saturation. Zbl 1429.35183Kurseeva, V. Yu.; Smirnov, Yu. G. 2 2019 Nonlinear coupled wave propagation in a \(n\)-dimensional layer. Zbl 1411.78006Smirnov, Yury G.; Valovik, Dmitry V. 2 2017 A nonlinear multiparameter EV problem. Zbl 1402.78015Angermann, Lutz; Shestopalov, Yu. V.; Smirnov, Yu. G.; Yatsyk, Vasyl V. 2 2018 Two-step method for permittivity determination of an inhomogeneous body placed in a rectangular waveguide. Zbl 1406.78015Smirnov, Yu. G.; Medvedik, M. Yu.; Moskaleva, M. A. 2 2018 Investigation of an electromagnetic problem of diffraction by a dielectric body using the method of a volume singular integral equation. Zbl 1114.78005Smirnov, Yu. G.; Tsupak, A. A. 2 2004 Fredholmness of systems of pseudodifferential equations in the problem of diffraction on a bounded screen. Zbl 0788.35157Smirnov, Yu. G. 1 1992 The electric field integral equation: theory and algorithms. Zbl 0926.65123Ivakhnenko, V. I.; Smirnov, Yu. G.; Tyrtyshnikov, E. E. 1 1998 Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao-Wilton-Glisson method. Zbl 1313.78006Medvedik, M. Yu.; Smirnov, Yu. G. 1 2014 On the problem of propagation of nonlinear coupled TE-TM waves in a layer. Zbl 1313.35338Valovik, D. V.; Smirnov, Yu. G. 1 2014 Existence and uniqueness of a solution of a singular volume integral equation in a diffraction problem. Zbl 1130.45002Smirnov, Yu. G.; Tsupak, A. A. 1 2005 Complex waves in dielectric layer. Zbl 1450.35247Smirnov, Yu.; Smolkin, E. 1 2020 On the existence of the nonlinear leaky TE-polarized waves in a metal-dielectric cylindrical waveguide. Zbl 07222224Shestopalov, Yury; Smolkin, Eugene; Smirnov, Yury 1 2019 Existence of an infinite spectrum of damped leaky TE waves in an open inhomogeneous cylindrical metal-dielectric waveguide. Zbl 1427.78012Smirnov, Yu. G.; Smol’kin, E. Yu. 1 2019 Mathematical theory of normal waves in radially inhomogenous dielectric rod. Zbl 1428.78022Smirnov, Yury; Smolkin, Eugene 1 2019 Synthesis problem and mathematical modeling of multilayered absorbing coating. Zbl 1402.78018Derevyanchuk, E. D.; Shutkov, A. S.; Smirnov, Yu. G. 1 2018 Diffraction of TE polarized electromagnetic waves by a layer with a nonlinear medium. Zbl 1402.78009Smirnov, Yu. G.; Smolkin, E.; Kurseeva, V. 1 2018 On the Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid. Zbl 1366.78016Smirnov, Yu. G.; Tsupak, A. A. 1 2016 Integral dispersion equation method for nonlinear eigenvalue problems. Zbl 1452.78025Smirnov, Yu. G. 1 2020 Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens. Zbl 1367.31008Smirnov, Yu. G.; Tsupak, A. A. 1 2017 Solution to the inverse problem of reconstructing permittivity of an \(n\)-sectional diaphragm in a rectangular waveguide. Zbl 1321.78009Smirnov, Yuri G.; Shestopalov, Yuri V.; Derevyanchuk, Ekaterina D. 1 2014 Strong ellipticity of the hybrid formulation of the electromagnetic diffraction problem. Zbl 0984.78008Slavin, I. V.; Smirnov, Yu. G. 1 2000 On the solvability of vector problems of diffraction in domains connected through an opening in a screen. Zbl 0820.35156Smirnov, Yu. G. 1 1993 The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements. Zbl 1461.65213Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 1 2020 Non-iterative two-step method for solving scalar inverse 3D diffraction problem. Zbl 1461.65282Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 1 2020 Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies. Zbl 07424696Samokhin, A. B.; Smirnov, Yu. G. 1 2021 Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies. Zbl 07424696Samokhin, A. B.; Smirnov, Yu. G. 1 2021 Eigenwaves in a lossy metal-dielectric waveguide. Zbl 1433.78032Smirnov, Yury; Smolkin, Eugene 3 2020 Complex waves in dielectric layer. Zbl 1450.35247Smirnov, Yu.; Smolkin, E. 1 2020 Integral dispersion equation method for nonlinear eigenvalue problems. Zbl 1452.78025Smirnov, Yu. G. 1 2020 The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements. Zbl 1461.65213Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 1 2020 Non-iterative two-step method for solving scalar inverse 3D diffraction problem. Zbl 1461.65282Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 1 2020 The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide. Zbl 07024352Smirnov, Yury; Smolkin, Eugene; Kurseeva, Valery 4 2019 On the uniqueness of a solution to an inverse problem of scattering by an inhomogeneous solid with a piecewise Hölder refractive index in a special function class. Zbl 1420.35473Smirnov, Yu. G.; Tsupak, A. A. 2 2019 Problem of coupled electromagnetic TE-TE wave propagation in a layer filled with nonlinear medium with saturation. Zbl 1429.35183Kurseeva, V. Yu.; Smirnov, Yu. G. 2 2019 On the existence of the nonlinear leaky TE-polarized waves in a metal-dielectric cylindrical waveguide. Zbl 07222224Shestopalov, Yury; Smolkin, Eugene; Smirnov, Yury 1 2019 Existence of an infinite spectrum of damped leaky TE waves in an open inhomogeneous cylindrical metal-dielectric waveguide. Zbl 1427.78012Smirnov, Yu. G.; Smol’kin, E. Yu. 1 2019 Mathematical theory of normal waves in radially inhomogenous dielectric rod. Zbl 1428.78022Smirnov, Yury; Smolkin, Eugene 1 2019 Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section. Zbl 1397.78043Smirnov, Yu. G.; Smolkin, E. Yu. 15 2018 Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization. Zbl 1416.78015Smirnov, Yu. G.; Smolkin, E. Yu.; Snegur, M. O. 7 2018 Operator function method in the problem of normal waves in an inhomogeneous waveguide. Zbl 1414.78010Smirnov, Yu. G.; Smol’kin, E. Yu. 7 2018 Two-step method for solving inverse problem of diffraction by an inhomogenous body. Zbl 1402.78013Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 6 2018 On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium. Zbl 07213352Smirnov, Yury; Smolkin, Eugene 4 2018 Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid. Zbl 1394.35490Smirnov, Yury; Tsupak, Aleksey A. 3 2018 Long range effects in gravity theories with Vainshtein screening. Zbl 07462645Platscher, Moritz; Smirnov, Juri; Meyer, Sven; Bartelmann, Matthias 3 2018 A nonlinear multiparameter EV problem. Zbl 1402.78015Angermann, Lutz; Shestopalov, Yu. V.; Smirnov, Yu. G.; Yatsyk, Vasyl V. 2 2018 Two-step method for permittivity determination of an inhomogeneous body placed in a rectangular waveguide. Zbl 1406.78015Smirnov, Yu. G.; Medvedik, M. Yu.; Moskaleva, M. A. 2 2018 Synthesis problem and mathematical modeling of multilayered absorbing coating. Zbl 1402.78018Derevyanchuk, E. D.; Shutkov, A. S.; Smirnov, Yu. G. 1 2018 Diffraction of TE polarized electromagnetic waves by a layer with a nonlinear medium. Zbl 1402.78009Smirnov, Yu. G.; Smolkin, E.; Kurseeva, V. 1 2018 Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. Zbl 1384.78008Smirnov, Yu. G.; Smolkin, E. Yu. 15 2017 Minimal conformal extensions of the Higgs sector. Zbl 1380.81235Helmboldt, Alexander J.; Humbert, Pascal; Lindner, Manfred; Smirnov, Juri 8 2017 On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides. Zbl 1384.78007Kurseeva, V. Yu.; Smirnov, Yu. G. 5 2017 Dark matter as a weakly coupled dark baryon. Zbl 1383.83237Mitridate, Andrea; Redi, Michele; Smirnov, Juri; Strumia, Alessandro 5 2017 On the volume singular integro-differential equation approach for the electromagnetic diffraction problem. Zbl 1360.35267Smirnov, Yu. G.; Tsupak, A. A.; Valovik, D. V. 3 2017 Degravitation of the cosmological constant in bigravity. Zbl 07466014Platscher, Moritz; Smirnov, Juri 3 2017 On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body. Zbl 1379.78010Smirnov, Yu. G.; Tsupak, A. A. 2 2017 Nonlinear coupled wave propagation in a \(n\)-dimensional layer. Zbl 1411.78006Smirnov, Yury G.; Valovik, Dmitry V. 2 2017 Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens. Zbl 1367.31008Smirnov, Yu. G.; Tsupak, A. A. 1 2017 On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity. Zbl 1353.78020Smirnov, Yu. G.; Valovik, D. V. 16 2016 Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements. Zbl 1382.76220Evstigneev, Roman O.; Medvedik, M. Yu.; Smirnov, Yu. G. 6 2016 On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation. Zbl 1364.35353Smirnov, Yu. G. 5 2016 On the Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid. Zbl 1366.78016Smirnov, Yu. G.; Tsupak, A. A. 1 2016 Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides. Zbl 1322.78013Smirnov, Yu. G. 8 2015 Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1342.35371Smirnov, Y. G.; Tsupak, A. A. 6 2015 Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body. Zbl 1331.65166Smirnov, Yu. G.; Tsupak, A. A. 2 2015 Eigenwaves in waveguides with dielectric inclusions: spectrum. Zbl 1294.78013Shestopalov, Yury; Smirnov, Yury 11 2014 Eigenwaves in waveguides with dielectric inclusions: completeness. Zbl 1301.78006Shestopalov, Yury; Smirnov, Yury 10 2014 Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1313.78028Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. 7 2014 Nonlinear double-layer Bragg waveguide: analytical and numerical approaches to investigate waveguiding problem. Zbl 1295.78014Smirnov, Yury G.; Smol’kin, Eugenii Yu.; Valovik, Dmitry V. 6 2014 Method of integral equations in the scalar problem of diffraction on a system consisting of a “soft” and a “hard” screen and an inhomogeneous body. Zbl 1312.65203Smirnov, Yu. G.; Tsupak, A. A. 4 2014 Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao-Wilton-Glisson method. Zbl 1313.78006Medvedik, M. Yu.; Smirnov, Yu. G. 1 2014 On the problem of propagation of nonlinear coupled TE-TM waves in a layer. Zbl 1313.35338Valovik, D. V.; Smirnov, Yu. G. 1 2014 Solution to the inverse problem of reconstructing permittivity of an \(n\)-sectional diaphragm in a rectangular waveguide. Zbl 1321.78009Smirnov, Yuri G.; Shestopalov, Yuri V.; Derevyanchuk, Ekaterina D. 1 2014 Coupled electromagnetic transverse-electric-transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity. Zbl 1282.78026Smirnov, Yury G.; Valovik, Dmitry V. 13 2013 Problem of nonlinear coupled electromagnetic TE-TE wave propagation. Zbl 1296.78006Smirnov, Yury G.; Valovik, Dmitry V. 11 2013 Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides. Zbl 1299.78015Valovik, D. V.; Smirnov, Yu. G.; Smol’kin, E. Yu. 2 2013 On the problem of electromagnetic waves propagating along a nonlinear inhomogeneous cylindrical waveguide. Zbl 1273.78010Smirnov, Yury G.; Valovik, Dmitry V. 2 2013 Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity. Zbl 1251.78011Smirnov, Yu G.; Valovik, D. V. 11 2012 Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity. Zbl 1278.78004Smirnov, Yury G.; Valovik, Dmitry V. 10 2012 Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body. Zbl 1252.35288Valovik, D. V.; Smirnov, Yu. G. 7 2012 Determination of permittivity of an inhomogeneous dielectric body in a waveguide. Zbl 1227.78014Shestopalov, Yury; Smirnov, Yury 6 2011 Existence and uniqueness of a solution to the inverse problem of the complex permittivity reconstruction of a dielectric body in a waveguide. Zbl 1426.78025Shestopalov, Yury; Smirnov, Yury 4 2010 Boundary eigenvalue problem for Maxwell equations in a nonlinear dielectric layer. Zbl 1213.35217Smirnov, Yury G.; Valovik, Dmitry V. 4 2010 Investigation of electromagnetic diffraction by a dielectric body in a waveguide using the method of volume singular integral equation. Zbl 1221.78027Kobayashi, K.; Shestopalov, Yu.; Smirnov, Yu. 4 2009 A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a nonlinear layer. Zbl 1177.78050Valovik, D. V.; Smirnov, Yu. G. 2 2008 Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation. Zbl 1210.49030Smirnov, Yu. G. 6 2007 Existence and uniqueness of a solution of a singular volume integral equation in a diffraction problem. Zbl 1130.45002Smirnov, Yu. G.; Tsupak, A. A. 1 2005 Integral equation approach for the propagation of TE-waves in a nonlinear dielectric cylindrical waveguide. Zbl 1067.35122Smirnov, Y.; Schürmann, H. W.; Shestopalov, Y. 14 2004 The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium. Zbl 1114.78002Kupriyanova, S. N.; Smirnov, Yu. G. 8 2004 Investigation of an electromagnetic problem of diffraction by a dielectric body using the method of a volume singular integral equation. Zbl 1114.78005Smirnov, Yu. G.; Tsupak, A. A. 2 2004 Strong ellipticity of the hybrid formulation of the electromagnetic diffraction problem. Zbl 0984.78008Slavin, I. V.; Smirnov, Yu. G. 1 2000 The electric field integral equation: theory and algorithms. Zbl 0926.65123Ivakhnenko, V. I.; Smirnov, Yu. G.; Tyrtyshnikov, E. E. 1 1998 The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape. Zbl 0831.45009Smirnov, Yu. G. 3 1994 On the solvability of vector problems of diffraction in domains connected through an opening in a screen. Zbl 0820.35156Smirnov, Yu. G. 1 1993 On the Fredholm property of a system of pseudodifferential equations in a diffraction problem on a bounded screen. Zbl 0769.35077Smirnov, Yu. G. 2 1992 Fredholmness of systems of pseudodifferential equations in the problem of diffraction on a bounded screen. Zbl 0788.35157Smirnov, Yu. G. 1 1992 Operator-bundle method for conjugation boundary-value problems for a system of elliptic equations. Zbl 0768.35022Smirnov, Yu. G. 5 1991 all cited Publications top 5 cited Publications all top 5 Cited by 64 Authors 53 Smirnov, Yury G. 33 Valovik, Dmitry V. 13 Smol’kin, Eugenii Yu. 9 Smolkin, Eugene 8 Medvedik, M. Yu. 6 Kurseeva, Valeria Yu. 6 Tikhov, S. V. 4 Khan, Akhtar Ali 4 Sama, Miguel 4 Snegur, M. O. 3 Jadamba, Baasansuren 3 Samokhin, Aleksandr Borisovich 3 Shestopalov, Yuri V. 3 Tammer, Christiane 3 Yuldashev, Tursun Kamaldinovich 2 Alekseev, Gennady V. 2 Evstigneev, Roman O. 2 Khalilov, Elnur H. 2 Kurseeva, Valery 2 Malykh, Mikhail D. 2 Moskaleva, M. A. 2 Raschetova, Daria. V. 2 Richards, Michael 2 Setukha, Alexey V. 2 Sevastyanov, Leonid A. 2 Spivak, Yuliya Èduardovna 1 Abgaryan, Garnik V. 1 Ashyralyev, Allaberen 1 Assanova, Anar Turmaganbetkyzy 1 Beilina, Larisa 1 Biteleva, E. O. 1 Boubendir, Yassine 1 Chalyshov, G. V. 1 Chen, Junqing 1 Clason, Christian 1 Delitsyn, Andrei L. 1 Delitsyn, L. L. 1 Erdogan, Abdullah Said 1 Gaikovich, Konstantin P. 1 Ghaderi Aram, Morteza 1 Huang, Guanghui 1 Il’inskiĭ, Anatoliĭ Serafimovich 1 Ilyinsky, A. S. 1 Kalinin, Aleksey V. 1 Kanaun, Sergei K. 1 Karchevskii, Evgenii Mikhailovich 1 Kiili, Hanna 1 Kroytor, O. K. 1 Levadoux, David P. 1 Martynova, V. Yu. 1 Nenashev, A. S. 1 Pleshchinskii, Nikolaij Borisovich 1 Polyanskiĭ, Ivan Sergeevich 1 Samokhina, A. S. 1 Sazaklioglu, Ali Ugur 1 Serov, Valery S. 1 Stepanishcheva, V. S. 1 Stepanov, Dmitriĭ Evgen’evich 1 Sumin, Mikhail Iosifovich 1 Tsupak, Aleksei A. 1 Tsupak, Aleksey A. 1 Turc, Catalin 1 Tyukhtina, Alla A. 1 Yatsyk, Vasyl V. all top 5 Cited in 36 Serials 19 Lobachevskii Journal of Mathematics 19 Differential Equations 18 Computational Mathematics and Mathematical Physics 8 Applicable Analysis 5 Journal of Mathematical Physics 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Wave Motion 3 Optimization 3 Inverse Problems in Science and Engineering 3 Advances in Mathematical Physics 2 Journal of Computational Physics 2 Sbornik: Mathematics 2 Doklady Mathematics 2 Mathematical Modelling and Analysis 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Computational Mathematics and Modeling 1 Applied Mathematical Modelling 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 Mathematical Problems in Engineering 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Modern Optics 1 Journal of Nonlinear Mathematical Physics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Advances in Numerical Analysis 1 ISRN Mathematical Physics 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet all top 5 Cited in 15 Fields 83 Optics, electromagnetic theory (78-XX) 70 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 20 Ordinary differential equations (34-XX) 19 Integral equations (45-XX) 12 Operator theory (47-XX) 5 Potential theory (31-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Operations research, mathematical programming (90-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year