Edit Profile (opens in new tab) Lyalinov, Mikhail Anatolievich Co-Author Distance Author ID: lyalinov.mikhail-anatolievich Published as: Lyalinov, M. A.; Lyalinov, Mikhail A.; Lyalinov, Mikhail Anatolievich more...less External Links: ORCID Documents Indexed: 63 Publications since 1987 Co-Authors: 39 Co-Authors with 27 Joint Publications 1,508 Co-Co-Authors all top 5 Co-Authors 36 single-authored 9 Zhu, Ning Yan 5 Bernard, J. M. L. 4 Buldyrev, V. S. 4 Polyanskaya, Svetlana V. 2 Babich, Vasiliĭ Mikhaĭlovich 2 Dobrokhotov, Sergei Yurievich 2 Grikurov, Valery E. 2 Smyshlyaev, Valery P. 1 Belishev, Mikhail Igorevitch 1 Chernous’ko, Feliks Leonidovich 1 Escamilla Reyna, Juan Alberto 1 Fradkin, L. Yu. 1 Frost, V. A. 1 Ibragimov, Il’dar Abdullovich 1 Kaloshin, V. A. 1 Kislyakov, Sergeĭ Vital’evich 1 Klimov, Dmitrij M. 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Lukin, Dmitry S. 1 Maslov, Viktor Pavlovich 1 Matiyasevich, Yuriĭ Vladimirovich 1 Mendoza Torres, Francisco Javier 1 Molotkov, I. A. 1 Neittaanmäki, Pekka J. 1 Pavlov, Boris Sergeevich 1 Plamenevskiĭ, Boris Alekseevich 1 Popov, Aleksandr Leonidovich 1 Rabinovich, Vladimir Samuilovich 1 Romanov, Vladimir Gavrilovich 1 Sánchez Perales, Salvador 1 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 1 Shafarevich, Andreĭ Igorevich 1 Sintsova, Ksenia 1 Sturova, Izolda V. 1 Suslina, Tat’yana Aleksandrovna 1 Ural’tseva, Nina Nikolaevna 1 Vardapetyan, L. G. 1 Vishik, Marko Iosifovich all top 5 Serials 20 Journal of Mathematical Sciences (New York) 9 Wave Motion 5 IMA Journal of Applied Mathematics 5 Journal of Physics A: Mathematical and General 4 Russian Journal of Mathematical Physics 3 IEEE Transactions on Antennas and Propagation 2 Zapiski Nauchnykh Seminarov POMI 2 St. Petersburg Mathematical Journal 2 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 European Journal of Applied Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 39 Optics, electromagnetic theory (78-XX) 37 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 9 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 147 times in 61 Documents Cited by ▼ Year ▼ Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Zbl 1074.78516 Bernard, J. M. L.; Lyalinov, M. A. 21 2001 Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067 Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P. 12 2010 Electromagnetic scattering by a smooth convex impedance cone. Zbl 1115.78005 Bernard, J. M. L.; Lyalinov, M. A. 11 2004 A solution procedure for second-order difference equations and its application to electromagnetic-wave diffraction in a wedge-shaped region. Zbl 1092.78008 Lyalinov, Mikhail A.; Zhu, Ning Yan 10 2003 Analytical-numerical calculation of diffraction coefficients for a circular impedance cone. Zbl 1369.78143 Bernard, J. M. L.; Lyalinov, Mikhail A.; Zhu, Ning Yan 8 2008 Acoustic scattering by a circular semi-transparent conical surface. Zbl 1131.76047 Lyalinov, Mikhail Anatolievich; Zhu, Ning Yan 6 2007 A comment on eigenfunctions and eigenvalues of the Laplace operator in an angle with Robin boundary conditions. Zbl 1456.35145 Lyalinov, M. A. 6 2021 Acoustic scattering of a plane wave by a circular penetrable cone. Zbl 1229.76097 Lyalinov, M. A. 5 2011 Diffraction of a skew incident plane electromagnetic wave by an impedance wedge. Zbl 1231.78028 Lyalinov, Mikhail A.; Zhu, Ning Yan 5 2006 Functional difference equations and eigenfunctions of a Schrödinger operator with \(\delta' -\) interaction on a circular conical surface. Zbl 1472.35105 Lyalinov, Mikhail A. 5 2020 The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone. Zbl 0930.35169 Bernard, J. M. L.; Lyalinov, M. A. 4 1999 Diffraction of the plane wave by an impedance cone. Zbl 1081.78009 Lyalinov, M. A. 4 2003 On one approach to an electromagnetic diffraction problem in a wedge shaped region. Zbl 0850.78008 Lyalinov, M. A. 4 1994 Spectral domain solution and asymptotics for the diffraction by an impedance cone. Zbl 1002.78510 Bernard, J. M. L.; Lyalinov, M. A. 4 2001 Diffraction of the surface \(H\)-polarized wave by an angular break of a thin dielectric slab. Zbl 1288.78018 Grikurov, V. E.; Lyalinov, M. A. 4 2008 Scattering of acoustic waves by a sector. Zbl 1454.76082 Lyalinov, Mikhail A. 4 2013 Scattering of an acoustic axially symmetric surface wave propagating to the vertex of a right-circular impedance cone. Zbl 1231.76276 Lyalinov, M. A. 3 2010 Diffraction of a skewly incident plane wave by an anisotropic impedance wedge – a class of exactly solvable cases. Zbl 1067.78501 Lyalinov, Mikhail A.; Zhu, Ning Yan 3 1999 The far field asymptotics in the problem of diffraction of an acoustic plane wave by an impedance cone. Zbl 1239.76052 Lyalinov, M. A. 3 2009 Eigenoscillations in an angular domain and spectral properties of functional equations. Zbl 1504.35201 Lyalinov, M. A. 3 2022 Diffraction by a highly contrast transparent wedge. Zbl 0937.78006 Lyalinov, M. A. 2 1999 Electromagnetic scattering of a dipole-field by an impedance wedge. I: Far-field space waves. Zbl 1370.78126 Lyalinov, Mikhail A.; Zhu, Ning Yan 2 2013 Eigenmodes in the water-wave problems for infinite pools with cone-shaped bottom. Zbl 1445.76025 Lyalinov, Mikhail A. 2 2016 Integral equations and the scattering diagram in the problem of diffraction by two shifted contacting wedges with polygonal boundary. Zbl 1381.76326 Lyalinov, M. A. 2 2016 Functional-difference equations and their link with perturbations of the Mehler operator. Zbl 1497.35325 Lyalinov, M. A. 2 2022 Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions. Zbl 1408.35014 Lyalinov, Mikhail A. 2 2018 Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. Zbl 0933.78005 Lyalinov, M. A.; Vardapetyan, L. G. 1 1994 On an integral equation in the problem of the diffraction of a plane wave by a transparent circular cone. Zbl 1130.76071 Lyalinov, M. A. 1 2004 Generalized Sommerfeld integral and diffraction in an angle-shaped domain with a radial perturbation. Zbl 1086.81079 Lyalinov, M. A. 1 2005 On surface waves in diffraction gratings. Zbl 0964.78006 Grikurov, V. E.; Lyalinov, M. A.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2000 Asymptotic theory of reflection of electromagnetic radiation by moderately and well conducting bodies. Zbl 0810.35124 Buldyrev, V. S.; Lyalinov, M. A. 1 1992 Asymptotic theory of the reflection of electromagnetic radiation by moderately and highly conductive bodies. Zbl 0844.35122 Buldyrev, V. S.; Lyalinov, M. A. 1 1992 Electromagnetic scattering by a circular impedance cone: diffraction coefficients and surface waves. Zbl 1305.78010 Lyalinov, Mikhail A. 1 2014 Scattering of an electromagnetic surface wave from a Hertzian dipole by the edge of an impedance wedge. Zbl 1382.78012 Lyalinov, M. A.; Zhu, N. Ya. 1 2017 An asymptotic boundary condition on the surface of an absorbing convex body. Zbl 1268.78005 Buldyrev, V. S.; Lyalinov, M. A. 1 1987 Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex. Zbl 1454.78021 Lyalinov, Mikhail A. 1 2015 Eigenoscillations in an angular domain and spectral properties of functional equations. Zbl 1504.35201 Lyalinov, M. A. 3 2022 Functional-difference equations and their link with perturbations of the Mehler operator. Zbl 1497.35325 Lyalinov, M. A. 2 2022 A comment on eigenfunctions and eigenvalues of the Laplace operator in an angle with Robin boundary conditions. Zbl 1456.35145 Lyalinov, M. A. 6 2021 Functional difference equations and eigenfunctions of a Schrödinger operator with \(\delta' -\) interaction on a circular conical surface. Zbl 1472.35105 Lyalinov, Mikhail A. 5 2020 Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions. Zbl 1408.35014 Lyalinov, Mikhail A. 2 2018 Scattering of an electromagnetic surface wave from a Hertzian dipole by the edge of an impedance wedge. Zbl 1382.78012 Lyalinov, M. A.; Zhu, N. Ya. 1 2017 Eigenmodes in the water-wave problems for infinite pools with cone-shaped bottom. Zbl 1445.76025 Lyalinov, Mikhail A. 2 2016 Integral equations and the scattering diagram in the problem of diffraction by two shifted contacting wedges with polygonal boundary. Zbl 1381.76326 Lyalinov, M. A. 2 2016 Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex. Zbl 1454.78021 Lyalinov, Mikhail A. 1 2015 Electromagnetic scattering by a circular impedance cone: diffraction coefficients and surface waves. Zbl 1305.78010 Lyalinov, Mikhail A. 1 2014 Scattering of acoustic waves by a sector. Zbl 1454.76082 Lyalinov, Mikhail A. 4 2013 Electromagnetic scattering of a dipole-field by an impedance wedge. I: Far-field space waves. Zbl 1370.78126 Lyalinov, Mikhail A.; Zhu, Ning Yan 2 2013 Acoustic scattering of a plane wave by a circular penetrable cone. Zbl 1229.76097 Lyalinov, M. A. 5 2011 Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067 Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P. 12 2010 Scattering of an acoustic axially symmetric surface wave propagating to the vertex of a right-circular impedance cone. Zbl 1231.76276 Lyalinov, M. A. 3 2010 The far field asymptotics in the problem of diffraction of an acoustic plane wave by an impedance cone. Zbl 1239.76052 Lyalinov, M. A. 3 2009 Analytical-numerical calculation of diffraction coefficients for a circular impedance cone. Zbl 1369.78143 Bernard, J. M. L.; Lyalinov, Mikhail A.; Zhu, Ning Yan 8 2008 Diffraction of the surface \(H\)-polarized wave by an angular break of a thin dielectric slab. Zbl 1288.78018 Grikurov, V. E.; Lyalinov, M. A. 4 2008 Acoustic scattering by a circular semi-transparent conical surface. Zbl 1131.76047 Lyalinov, Mikhail Anatolievich; Zhu, Ning Yan 6 2007 Diffraction of a skew incident plane electromagnetic wave by an impedance wedge. Zbl 1231.78028 Lyalinov, Mikhail A.; Zhu, Ning Yan 5 2006 Generalized Sommerfeld integral and diffraction in an angle-shaped domain with a radial perturbation. Zbl 1086.81079 Lyalinov, M. A. 1 2005 Electromagnetic scattering by a smooth convex impedance cone. Zbl 1115.78005 Bernard, J. M. L.; Lyalinov, M. A. 11 2004 On an integral equation in the problem of the diffraction of a plane wave by a transparent circular cone. Zbl 1130.76071 Lyalinov, M. A. 1 2004 A solution procedure for second-order difference equations and its application to electromagnetic-wave diffraction in a wedge-shaped region. Zbl 1092.78008 Lyalinov, Mikhail A.; Zhu, Ning Yan 10 2003 Diffraction of the plane wave by an impedance cone. Zbl 1081.78009 Lyalinov, M. A. 4 2003 Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Zbl 1074.78516 Bernard, J. M. L.; Lyalinov, M. A. 21 2001 Spectral domain solution and asymptotics for the diffraction by an impedance cone. Zbl 1002.78510 Bernard, J. M. L.; Lyalinov, M. A. 4 2001 On surface waves in diffraction gratings. Zbl 0964.78006 Grikurov, V. E.; Lyalinov, M. A.; Neittaanmäki, P.; Plamenevskii, B. A. 1 2000 The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone. Zbl 0930.35169 Bernard, J. M. L.; Lyalinov, M. A. 4 1999 Diffraction of a skewly incident plane wave by an anisotropic impedance wedge – a class of exactly solvable cases. Zbl 1067.78501 Lyalinov, Mikhail A.; Zhu, Ning Yan 3 1999 Diffraction by a highly contrast transparent wedge. Zbl 0937.78006 Lyalinov, M. A. 2 1999 On one approach to an electromagnetic diffraction problem in a wedge shaped region. Zbl 0850.78008 Lyalinov, M. A. 4 1994 Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. Zbl 0933.78005 Lyalinov, M. A.; Vardapetyan, L. G. 1 1994 Asymptotic theory of reflection of electromagnetic radiation by moderately and well conducting bodies. Zbl 0810.35124 Buldyrev, V. S.; Lyalinov, M. A. 1 1992 Asymptotic theory of the reflection of electromagnetic radiation by moderately and highly conductive bodies. Zbl 0844.35122 Buldyrev, V. S.; Lyalinov, M. A. 1 1992 An asymptotic boundary condition on the surface of an absorbing convex body. Zbl 1268.78005 Buldyrev, V. S.; Lyalinov, M. A. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 53 Authors 32 Lyalinov, Mikhail Anatolievich 4 Zhu, Ning Yan 3 Abrahams, I. David 3 Assier, Raphaël C. 2 Bernard, J. M. L. 2 Fedotov, Alexander 2 Gutiérrez-Tovar, Y. E. 2 Hoang, Pham Van 2 Méndez Pérez, José Manuel R. 2 Nguyen Thanh Hong 2 Pankrashkin, Konstantin 2 Polyanskaya, Svetlana V. 2 Vogel, Marco 1 Babich, Vasiliĭ Mikhaĭlovich 1 Brandsmeier, Holger 1 Buldyrev, V. S. 1 Büyükaksoy, Alinur 1 Çınar, Gökhan 1 Durand, William 1 Falkovich, Gregory 1 Gawȩdzki, Krzysztof 1 Grikurov, Valery E. 1 Guerra, Manuel 1 Hewett, David P. 1 Idemen, Mithat 1 Ivanov, Alexey V. 1 Klopp, Frédéric 1 Kunz, Valentin D. 1 Kuo, Yueh-Cheng 1 Kuryliak, Dozyslav B. 1 Lawrie, Jane B. 1 Mokeeva, N. V. 1 Nazarov, Sergeĭ Aleksandrovich 1 Nethercote, Matthew A. 1 Nguyen Thanh Long 1 Nguyen Xuan Thao 1 Ockendon, John R. 1 Pham Ngoc Dinh, Alain 1 Schmidt, Kersten 1 Schwab, Christoph 1 Senior, Thomas B. A. 1 Shchetka, Ekaterina 1 Shieh, Shih-Feng 1 Sintsova, Ksenia 1 Smyshlyaev, Valery P. 1 Sousa, Rúben 1 Szmytkowski, Radosław 1 Tuan, Trinh 1 Vardapetyan, L. G. 1 Vergassola, Massimo 1 Vu Kim Tuan 1 William, Durand 1 Yakubovich, Semyon B. all top 5 Cited in 26 Serials 15 Journal of Mathematical Sciences (New York) 13 Wave Motion 3 Journal of Engineering Mathematics 3 Journal of Mathematical Analysis and Applications 3 Russian Journal of Mathematical Physics 3 St. Petersburg Mathematical Journal 2 SIAM Journal on Applied Mathematics 1 Applicable Analysis 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Reviews of Modern Physics 1 Theoretical and Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Acta Mathematica Vietnamica 1 Mathematische Nachrichten 1 European Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Integral Transforms and Special Functions 1 Taiwanese Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Regular and Chaotic Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Spectral Theory 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 20 Fields 33 Partial differential equations (35-XX) 21 Optics, electromagnetic theory (78-XX) 15 Fluid mechanics (76-XX) 9 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Integral equations (45-XX) 6 Mechanics of deformable solids (74-XX) 5 Special functions (33-XX) 5 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year