## Smirnov, Yury G.

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 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
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### 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)

### 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 1353.78020
Smirnov, Yu. G.; Valovik, D. V.
2016
Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. Zbl 1384.78008
Smirnov, Yu. G.; Smolkin, E. Yu.
2017
Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section. Zbl 1397.78043
Smirnov, Yu. G.; Smolkin, E. Yu.
2018
Integral equation approach for the propagation of TE-waves in a nonlinear dielectric cylindrical waveguide. Zbl 1067.35122
Smirnov, Y.; Schürmann, H. W.; Shestopalov, Y.
2004
Coupled electromagnetic transverse-electric-transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity. Zbl 1282.78026
Smirnov, Yury G.; Valovik, Dmitry V.
2013
Problem of nonlinear coupled electromagnetic TE-TE wave propagation. Zbl 1296.78006
Smirnov, Yury G.; Valovik, Dmitry V.
2013
Eigenwaves in waveguides with dielectric inclusions: spectrum. Zbl 1294.78013
Shestopalov, Yury; Smirnov, Yury
2014
Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity. Zbl 1251.78011
Smirnov, Yu G.; Valovik, D. V.
2012
Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity. Zbl 1278.78004
Smirnov, Yury G.; Valovik, Dmitry V.
2012
Eigenwaves in waveguides with dielectric inclusions: completeness. Zbl 1301.78006
Shestopalov, Yury; Smirnov, Yury
2014
Minimal conformal extensions of the Higgs sector. Zbl 1380.81235
Helmboldt, Alexander J.; Humbert, Pascal; Lindner, Manfred; Smirnov, Juri
2017
Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides. Zbl 1322.78013
Smirnov, Yu. G.
2015
The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium. Zbl 1114.78002
Kupriyanova, S. N.; Smirnov, Yu. G.
2004
Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1313.78028
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2014
Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body. Zbl 1252.35288
Valovik, D. V.; Smirnov, Yu. G.
2012
Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization. Zbl 1416.78015
Smirnov, Yu. G.; Smolkin, E. Yu.; Snegur, M. O.
2018
Operator function method in the problem of normal waves in an inhomogeneous waveguide. Zbl 1414.78010
Smirnov, Yu. G.; Smol’kin, E. Yu.
2018
Determination of permittivity of an inhomogeneous dielectric body in a waveguide. Zbl 1227.78014
Shestopalov, Yury; Smirnov, Yury
2011
Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation. Zbl 1210.49030
Smirnov, Yu. G.
2007
Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements. Zbl 1382.76220
Evstigneev, Roman O.; Medvedik, M. Yu.; Smirnov, Yu. G.
2016
Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1342.35371
Smirnov, Y. G.; Tsupak, A. A.
2015
Two-step method for solving inverse problem of diffraction by an inhomogenous body. Zbl 1402.78013
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2018
Nonlinear double-layer Bragg waveguide: analytical and numerical approaches to investigate waveguiding problem. Zbl 1295.78014
Smirnov, Yury G.; Smol’kin, Eugenii Yu.; Valovik, Dmitry V.
2014
Operator-bundle method for conjugation boundary-value problems for a system of elliptic equations. Zbl 0768.35022
Smirnov, Yu. G.
1991
On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides. Zbl 1384.78007
Kurseeva, V. Yu.; Smirnov, Yu. G.
2017
Dark matter as a weakly coupled dark baryon. Zbl 1383.83237
Mitridate, Andrea; Redi, Michele; Smirnov, Juri; Strumia, Alessandro
2017
On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation. Zbl 1364.35353
Smirnov, Yu. G.
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 1312.65203
Smirnov, Yu. G.; Tsupak, A. A.
2014
Investigation of electromagnetic diffraction by a dielectric body in a waveguide using the method of volume singular integral equation. Zbl 1221.78027
Kobayashi, K.; Shestopalov, Yu.; Smirnov, Yu.
2009
Existence and uniqueness of a solution to the inverse problem of the complex permittivity reconstruction of a dielectric body in a waveguide. Zbl 1426.78025
Shestopalov, Yury; Smirnov, Yury
2010
Boundary eigenvalue problem for Maxwell equations in a nonlinear dielectric layer. Zbl 1213.35217
Smirnov, Yury G.; Valovik, Dmitry V.
2010
The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide. Zbl 07024352
Smirnov, Yury; Smolkin, Eugene; Kurseeva, Valery
2019
On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium. Zbl 07213352
Smirnov, Yury; Smolkin, Eugene
2018
The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape. Zbl 0831.45009
Smirnov, Yu. G.
1994
Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid. Zbl 1394.35490
Smirnov, Yury; Tsupak, Aleksey A.
2018
Eigenwaves in a lossy metal-dielectric waveguide. Zbl 1433.78032
Smirnov, Yury; Smolkin, Eugene
2020
On the volume singular integro-differential equation approach for the electromagnetic diffraction problem. Zbl 1360.35267
Smirnov, Yu. G.; Tsupak, A. A.; Valovik, D. V.
2017
Long range effects in gravity theories with Vainshtein screening. Zbl 07462645
Platscher, Moritz; Smirnov, Juri; Meyer, Sven; Bartelmann, Matthias
2018
Degravitation of the cosmological constant in bigravity. Zbl 07466014
Platscher, Moritz; Smirnov, Juri
2017
Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body. Zbl 1331.65166
Smirnov, Yu. G.; Tsupak, A. A.
2015
A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a nonlinear layer. Zbl 1177.78050
Valovik, D. V.; Smirnov, Yu. G.
2008
On the Fredholm property of a system of pseudodifferential equations in a diffraction problem on a bounded screen. Zbl 0769.35077
Smirnov, Yu. G.
1992
Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides. Zbl 1299.78015
Valovik, D. V.; Smirnov, Yu. G.; Smol’kin, E. Yu.
2013
On the problem of electromagnetic waves propagating along a nonlinear inhomogeneous cylindrical waveguide. Zbl 1273.78010
Smirnov, Yury G.; Valovik, Dmitry V.
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 1420.35473
Smirnov, Yu. G.; Tsupak, A. A.
2019
On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body. Zbl 1379.78010
Smirnov, Yu. G.; Tsupak, A. A.
2017
Problem of coupled electromagnetic TE-TE wave propagation in a layer filled with nonlinear medium with saturation. Zbl 1429.35183
Kurseeva, V. Yu.; Smirnov, Yu. G.
2019
Nonlinear coupled wave propagation in a $$n$$-dimensional layer. Zbl 1411.78006
Smirnov, Yury G.; Valovik, Dmitry V.
2017
A nonlinear multiparameter EV problem. Zbl 1402.78015
Angermann, Lutz; Shestopalov, Yu. V.; Smirnov, Yu. G.; Yatsyk, Vasyl V.
2018
Two-step method for permittivity determination of an inhomogeneous body placed in a rectangular waveguide. Zbl 1406.78015
Smirnov, Yu. G.; Medvedik, M. Yu.; Moskaleva, M. A.
2018
Investigation of an electromagnetic problem of diffraction by a dielectric body using the method of a volume singular integral equation. Zbl 1114.78005
Smirnov, Yu. G.; Tsupak, A. A.
2004
Fredholmness of systems of pseudodifferential equations in the problem of diffraction on a bounded screen. Zbl 0788.35157
Smirnov, Yu. G.
1992
The electric field integral equation: theory and algorithms. Zbl 0926.65123
Ivakhnenko, V. I.; Smirnov, Yu. G.; Tyrtyshnikov, E. E.
1998
Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao-Wilton-Glisson method. Zbl 1313.78006
Medvedik, M. Yu.; Smirnov, Yu. G.
2014
On the problem of propagation of nonlinear coupled TE-TM waves in a layer. Zbl 1313.35338
Valovik, D. V.; Smirnov, Yu. G.
2014
Existence and uniqueness of a solution of a singular volume integral equation in a diffraction problem. Zbl 1130.45002
Smirnov, Yu. G.; Tsupak, A. A.
2005
Complex waves in dielectric layer. Zbl 1450.35247
Smirnov, Yu.; Smolkin, E.
2020
On the existence of the nonlinear leaky TE-polarized waves in a metal-dielectric cylindrical waveguide. Zbl 07222224
Shestopalov, Yury; Smolkin, Eugene; Smirnov, Yury
2019
Existence of an infinite spectrum of damped leaky TE waves in an open inhomogeneous cylindrical metal-dielectric waveguide. Zbl 1427.78012
Smirnov, Yu. G.; Smol’kin, E. Yu.
2019
Mathematical theory of normal waves in radially inhomogenous dielectric rod. Zbl 1428.78022
Smirnov, Yury; Smolkin, Eugene
2019
Synthesis problem and mathematical modeling of multilayered absorbing coating. Zbl 1402.78018
Derevyanchuk, E. D.; Shutkov, A. S.; Smirnov, Yu. G.
2018
Diffraction of TE polarized electromagnetic waves by a layer with a nonlinear medium. Zbl 1402.78009
Smirnov, Yu. G.; Smolkin, E.; Kurseeva, V.
2018
On the Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid. Zbl 1366.78016
Smirnov, Yu. G.; Tsupak, A. A.
2016
Integral dispersion equation method for nonlinear eigenvalue problems. Zbl 1452.78025
Smirnov, Yu. G.
2020
Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens. Zbl 1367.31008
Smirnov, Yu. G.; Tsupak, A. A.
2017
Solution to the inverse problem of reconstructing permittivity of an $$n$$-sectional diaphragm in a rectangular waveguide. Zbl 1321.78009
Smirnov, Yuri G.; Shestopalov, Yuri V.; Derevyanchuk, Ekaterina D.
2014
Strong ellipticity of the hybrid formulation of the electromagnetic diffraction problem. Zbl 0984.78008
Slavin, I. V.; Smirnov, Yu. G.
2000
On the solvability of vector problems of diffraction in domains connected through an opening in a screen. Zbl 0820.35156
Smirnov, Yu. G.
1993
The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements. Zbl 1461.65213
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2020
Non-iterative two-step method for solving scalar inverse 3D diffraction problem. Zbl 1461.65282
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2020
Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies. Zbl 07424696
Samokhin, A. B.; Smirnov, Yu. G.
2021
Uniqueness and existence theorems for solving problems of scattering electromagnetic waves by anisotropic bodies. Zbl 07424696
Samokhin, A. B.; Smirnov, Yu. G.
2021
Eigenwaves in a lossy metal-dielectric waveguide. Zbl 1433.78032
Smirnov, Yury; Smolkin, Eugene
2020
Complex waves in dielectric layer. Zbl 1450.35247
Smirnov, Yu.; Smolkin, E.
2020
Integral dispersion equation method for nonlinear eigenvalue problems. Zbl 1452.78025
Smirnov, Yu. G.
2020
The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements. Zbl 1461.65213
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2020
Non-iterative two-step method for solving scalar inverse 3D diffraction problem. Zbl 1461.65282
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2020
The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide. Zbl 07024352
Smirnov, Yury; Smolkin, Eugene; Kurseeva, Valery
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 1420.35473
Smirnov, Yu. G.; Tsupak, A. A.
2019
Problem of coupled electromagnetic TE-TE wave propagation in a layer filled with nonlinear medium with saturation. Zbl 1429.35183
Kurseeva, V. Yu.; Smirnov, Yu. G.
2019
On the existence of the nonlinear leaky TE-polarized waves in a metal-dielectric cylindrical waveguide. Zbl 07222224
Shestopalov, Yury; Smolkin, Eugene; Smirnov, Yury
2019
Existence of an infinite spectrum of damped leaky TE waves in an open inhomogeneous cylindrical metal-dielectric waveguide. Zbl 1427.78012
Smirnov, Yu. G.; Smol&rsquo;kin, E. Yu.
2019
Mathematical theory of normal waves in radially inhomogenous dielectric rod. Zbl 1428.78022
Smirnov, Yury; Smolkin, Eugene
2019
Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section. Zbl 1397.78043
Smirnov, Yu. G.; Smolkin, E. Yu.
2018
Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization. Zbl 1416.78015
Smirnov, Yu. G.; Smolkin, E. Yu.; Snegur, M. O.
2018
Operator function method in the problem of normal waves in an inhomogeneous waveguide. Zbl 1414.78010
Smirnov, Yu. G.; Smol&rsquo;kin, E. Yu.
2018
Two-step method for solving inverse problem of diffraction by an inhomogenous body. Zbl 1402.78013
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2018
On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium. Zbl 07213352
Smirnov, Yury; Smolkin, Eugene
2018
Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid. Zbl 1394.35490
Smirnov, Yury; Tsupak, Aleksey A.
2018
Long range effects in gravity theories with Vainshtein screening. Zbl 07462645
Platscher, Moritz; Smirnov, Juri; Meyer, Sven; Bartelmann, Matthias
2018
A nonlinear multiparameter EV problem. Zbl 1402.78015
Angermann, Lutz; Shestopalov, Yu. V.; Smirnov, Yu. G.; Yatsyk, Vasyl V.
2018
Two-step method for permittivity determination of an inhomogeneous body placed in a rectangular waveguide. Zbl 1406.78015
Smirnov, Yu. G.; Medvedik, M. Yu.; Moskaleva, M. A.
2018
Synthesis problem and mathematical modeling of multilayered absorbing coating. Zbl 1402.78018
Derevyanchuk, E. D.; Shutkov, A. S.; Smirnov, Yu. G.
2018
Diffraction of TE polarized electromagnetic waves by a layer with a nonlinear medium. Zbl 1402.78009
Smirnov, Yu. G.; Smolkin, E.; Kurseeva, V.
2018
Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. Zbl 1384.78008
Smirnov, Yu. G.; Smolkin, E. Yu.
2017
Minimal conformal extensions of the Higgs sector. Zbl 1380.81235
Helmboldt, Alexander J.; Humbert, Pascal; Lindner, Manfred; Smirnov, Juri
2017
On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides. Zbl 1384.78007
Kurseeva, V. Yu.; Smirnov, Yu. G.
2017
Dark matter as a weakly coupled dark baryon. Zbl 1383.83237
Mitridate, Andrea; Redi, Michele; Smirnov, Juri; Strumia, Alessandro
2017
On the volume singular integro-differential equation approach for the electromagnetic diffraction problem. Zbl 1360.35267
Smirnov, Yu. G.; Tsupak, A. A.; Valovik, D. V.
2017
Degravitation of the cosmological constant in bigravity. Zbl 07466014
Platscher, Moritz; Smirnov, Juri
2017
On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body. Zbl 1379.78010
Smirnov, Yu. G.; Tsupak, A. A.
2017
Nonlinear coupled wave propagation in a $$n$$-dimensional layer. Zbl 1411.78006
Smirnov, Yury G.; Valovik, Dmitry V.
2017
Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens. Zbl 1367.31008
Smirnov, Yu. G.; Tsupak, A. A.
2017
On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity. Zbl 1353.78020
Smirnov, Yu. G.; Valovik, D. V.
2016
Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements. Zbl 1382.76220
Evstigneev, Roman O.; Medvedik, M. Yu.; Smirnov, Yu. G.
2016
On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation. Zbl 1364.35353
Smirnov, Yu. G.
2016
On the Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid. Zbl 1366.78016
Smirnov, Yu. G.; Tsupak, A. A.
2016
Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides. Zbl 1322.78013
Smirnov, Yu. G.
2015
Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1342.35371
Smirnov, Y. G.; Tsupak, A. A.
2015
Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body. Zbl 1331.65166
Smirnov, Yu. G.; Tsupak, A. A.
2015
Eigenwaves in waveguides with dielectric inclusions: spectrum. Zbl 1294.78013
Shestopalov, Yury; Smirnov, Yury
2014
Eigenwaves in waveguides with dielectric inclusions: completeness. Zbl 1301.78006
Shestopalov, Yury; Smirnov, Yury
2014
Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Zbl 1313.78028
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
2014
Nonlinear double-layer Bragg waveguide: analytical and numerical approaches to investigate waveguiding problem. Zbl 1295.78014
Smirnov, Yury G.; Smol&rsquo;kin, Eugenii Yu.; Valovik, Dmitry V.
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 1312.65203
Smirnov, Yu. G.; Tsupak, A. A.
2014
Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao-Wilton-Glisson method. Zbl 1313.78006
Medvedik, M. Yu.; Smirnov, Yu. G.
2014
On the problem of propagation of nonlinear coupled TE-TM waves in a layer. Zbl 1313.35338
Valovik, D. V.; Smirnov, Yu. G.
2014
Solution to the inverse problem of reconstructing permittivity of an $$n$$-sectional diaphragm in a rectangular waveguide. Zbl 1321.78009
Smirnov, Yuri G.; Shestopalov, Yuri V.; Derevyanchuk, Ekaterina D.
2014
Coupled electromagnetic transverse-electric-transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity. Zbl 1282.78026
Smirnov, Yury G.; Valovik, Dmitry V.
2013
Problem of nonlinear coupled electromagnetic TE-TE wave propagation. Zbl 1296.78006
Smirnov, Yury G.; Valovik, Dmitry V.
2013
Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides. Zbl 1299.78015
Valovik, D. V.; Smirnov, Yu. G.; Smol&rsquo;kin, E. Yu.
2013
On the problem of electromagnetic waves propagating along a nonlinear inhomogeneous cylindrical waveguide. Zbl 1273.78010
Smirnov, Yury G.; Valovik, Dmitry V.
2013
Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity. Zbl 1251.78011
Smirnov, Yu G.; Valovik, D. V.
2012
Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity. Zbl 1278.78004
Smirnov, Yury G.; Valovik, Dmitry V.
2012
Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body. Zbl 1252.35288
Valovik, D. V.; Smirnov, Yu. G.
2012
Determination of permittivity of an inhomogeneous dielectric body in a waveguide. Zbl 1227.78014
Shestopalov, Yury; Smirnov, Yury
2011
Existence and uniqueness of a solution to the inverse problem of the complex permittivity reconstruction of a dielectric body in a waveguide. Zbl 1426.78025
Shestopalov, Yury; Smirnov, Yury
2010
Boundary eigenvalue problem for Maxwell equations in a nonlinear dielectric layer. Zbl 1213.35217
Smirnov, Yury G.; Valovik, Dmitry V.
2010
Investigation of electromagnetic diffraction by a dielectric body in a waveguide using the method of volume singular integral equation. Zbl 1221.78027
Kobayashi, K.; Shestopalov, Yu.; Smirnov, Yu.
2009
A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a nonlinear layer. Zbl 1177.78050
Valovik, D. V.; Smirnov, Yu. G.
2008
Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation. Zbl 1210.49030
Smirnov, Yu. G.
2007
Existence and uniqueness of a solution of a singular volume integral equation in a diffraction problem. Zbl 1130.45002
Smirnov, Yu. G.; Tsupak, A. A.
2005
Integral equation approach for the propagation of TE-waves in a nonlinear dielectric cylindrical waveguide. Zbl 1067.35122
Smirnov, Y.; Schürmann, H. W.; Shestopalov, Y.
2004
The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium. Zbl 1114.78002
Kupriyanova, S. N.; Smirnov, Yu. G.
2004
Investigation of an electromagnetic problem of diffraction by a dielectric body using the method of a volume singular integral equation. Zbl 1114.78005
Smirnov, Yu. G.; Tsupak, A. A.
2004
Strong ellipticity of the hybrid formulation of the electromagnetic diffraction problem. Zbl 0984.78008
Slavin, I. V.; Smirnov, Yu. G.
2000
The electric field integral equation: theory and algorithms. Zbl 0926.65123
Ivakhnenko, V. I.; Smirnov, Yu. G.; Tyrtyshnikov, E. E.
1998
The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape. Zbl 0831.45009
Smirnov, Yu. G.
1994
On the solvability of vector problems of diffraction in domains connected through an opening in a screen. Zbl 0820.35156
Smirnov, Yu. G.
1993
On the Fredholm property of a system of pseudodifferential equations in a diffraction problem on a bounded screen. Zbl 0769.35077
Smirnov, Yu. G.
1992
Fredholmness of systems of pseudodifferential equations in the problem of diffraction on a bounded screen. Zbl 0788.35157
Smirnov, Yu. G.
1992
Operator-bundle method for conjugation boundary-value problems for a system of elliptic equations. Zbl 0768.35022
Smirnov, Yu. G.
1991
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### 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.
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### 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
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### 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)