Edit Profile (opens in new tab) Babich, Vasiliĭ Mikhaĭlovich Compute Distance To: Compute Author ID: babich.vasilii-mikhailovich Published as: Babich, V. M.; Babich, Vasilii M.; Babich, Vassily M.; Babich, Vasily M.; Babich, Vasilii; Babich, Vassilii M.; Babitsch, W. M.; Babbich, V. M.; Babič, V. M.; Babih, V. M. more...less Homepage: http://www.pdmi.ras.ru/eng/perso/vbabich.php External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 200 Publications since 1953, including 9 Books 46 Contributions as Editor · 3 Further Contributions Biographic References: 4 Publications Co-Authors: 109 Co-Authors with 104 Joint Publications 2,685 Co-Co-Authors all top 5 Co-Authors 141 single-authored 12 Grigor’eva, N. S. 10 Smyshlyaev, Valery P. 9 Samokish, Boris A. 8 Demen’tev, Daniel B. 8 Kirpichnikova, N. Ya. 6 Buldyrev, V. S. 5 Kiselev, Aleksei P. 4 Kamotskii, V. V. 4 Ulin, V. V. 4 Ural’tseva, Nina Nikolaevna 3 Azhotkin, V. D. 3 Kravtsova, T. S. 3 Levitan, Boris Moiseevich 3 Molotkov, I. A. 3 Slobodetskii, L. N. 2 Alekseev, Anatoliĭ Semënovich 2 Bakel’man, Il’ya Yakovlevich 2 Borovikov, Vladimir A. 2 Cherednichenko, Kirill D. 2 Chikhachev, B. A. 2 Faddeev, Lyudvig Dmitrievich 2 Fradkin, L. Yu. 2 Khavin, Viktor Petrovich 2 Ivanov, Maksim I. 2 Kalyakin, Leonid Anatol’evich 2 Kapilevich, M. B. 2 Klimova, A. A. 2 Koshelev, Aleksander Ivanovich 2 Lukyanov, Valery V. 2 Lyalinov, Mikhail Anatolievich 2 Marchenko, Vladimir Aleksandrovich 2 Matskovskiy, A. A. 2 Maz’ya, Vladimir Gilelevich 2 Mikhlin, Solomon Grigor’evich 2 Natanson, Garal’d Isidorovich 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Pastur, Leonid Andreevich 2 Plamenevskiĭ, Boris Alekseevich 2 Ramazanov, Marat D. 2 Riz, P. M. 2 Rozov, Nikolaĭ Khristovich 2 Smirnov, Mikhail M. 2 Smirnov, Vladimir Ivanovich 2 Solomyak, Mikhaĭl Zakharovich 2 Suslina, Tat’yana Aleksandrovna 2 Vershik, Anatoliĭ Moiseevich 1 Aleksandryan, Rafael’ Aramovich 1 Aleksandrov, Pavel Sergeevich 1 Bakhvalov, Nikolaĭ Sergeevich 1 Besov, Oleg Vladimirovich 1 Bilyi, I. Ya. 1 Birman, Mikhail Shlëmovich 1 Budylin, A. M. 1 Buslaev, Vladimir Savel’evich 1 Chernous’ko, Feliks Leonidovich 1 Danilov, Yu. P. 1 Dmitrieva, L. A. 1 Dobrokhotov, Sergei Yurievich 1 Escamilla Reyna, Juan Alberto 1 Frost, V. A. 1 Gindikin, Simon Grigorevich 1 Gridin, Dmitri 1 Guz, Alexander Nikolaevich 1 Its, Alexander Rudolfovich 1 Kaloshin, V. A. 1 Kantorovich, Leonid Vital’evich 1 Kislyakov, Sergeĭ Vital’evich 1 Klimov, Dmitrij M. 1 Komech, Alexander Ilich 1 Kovalev, B. N. 1 Krauklis, Pavel Vladimirovich 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Ladyzhenskaya, Ol’ga Aleksandrovna 1 Laptev, Ari 1 Lawry, James M. H. 1 Lazutkin, Vladimir Fedorovich 1 Lebedev, Vyacheslav Ivanovich 1 Levin, S. B. 1 Lozanovskaya, I. T. 1 Lukin, Dmitry S. 1 Maslennikova, Vera Nikolaevna 1 Maslov, Viktor Pavlovich 1 Mendoza Torres, Francisco Javier 1 Mikhlin, G. I. 1 Mokeeva, N. V. 1 Molotkov, Lev Anatolievich 1 Nazarenko, V. M. 1 Oleĭnik, Ol’ga Arsen’evna 1 1 Pankratova, T. F. 1 Pavlov, Boris Sergeevich 1 Perel, Maria V. 1 Polishchuk, Efim Mikhailovich 1 Popov, Aleksandr Leonidovich 1 Poskryakov, A. V. 1 Rabinovich, Vladimir Samuilovich 1 Rusakova, N. J. 1 Rybakina, E. A. 1 Sabina, Federico J. ...and 13 more Co-Authors all top 5 Serials 53 Journal of Mathematical Sciences (New York) 23 Journal of Soviet Mathematics 23 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 11 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 11 Zapiski Nauchnykh Seminarov POMI 6 St. Petersburg Mathematical Journal 5 Wave Motion 4 Russian Mathematical Surveys 4 Russian Journal of Mathematical Physics 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Algebra i Analiz 3 SIAM Journal on Applied Mathematics 3 Vestnik Leningrad University. Mathematics 3 Doklady Akademii Nauk SSSR. Novaya Seriya 2 Doklady Akademii Nauk SSSR 2 Journal of Applied Mathematics and Mechanics 2 Soviet Mathematics. Doklady 2 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 2 Mathematics of the USSR, Sbornik 2 Soviet Physics. Doklady 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Integral Transforms and Special Functions 2 PMM, Journal of Applied Mathematics and Mechanics 2 Problemy Matematicheskoĭ Fiziki 2 Proceedings of the Steklov Institute of Mathematics 1 Fluid Dynamics 1 Mathematical Notes 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Geophysical Journal International 1 Soviet Applied Mechanics 1 Functional Analysis and its Applications 1 Siberian Mathematical Journal 1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Mathematische Lehrbücher und Monographien. I. Abteilung: Mathematische Lehrbücher 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society 1 Monographs and Research Notes in Mathematics all top 5 Fields 113 Partial differential equations (35-XX) 77 Mechanics of deformable solids (74-XX) 46 General and overarching topics; collections (00-XX) 39 Fluid mechanics (76-XX) 34 Optics, electromagnetic theory (78-XX) 23 History and biography (01-XX) 21 Geophysics (86-XX) 19 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 6 Differential geometry (53-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 551 times in 438 Documents Cited by ▼ Year ▼ Asymptotische Methoden in Problemen der Diffraktion von Kurzwellen. Methode der Etalon-Probleme. (Asimptoticeskie metody v zadacah difrakcii korotkih voln. Metod etalonnyh zadac.). Zbl 0255.35002Babich, V. M.; Buldyrev, V. S. 140 1972 The boundary-layer method in diffraction problems. Transl. by E. F. Kuester. Zbl 0411.35001Babich, V. M.; Kirpichnikova, N. Ya. 41 1979 Short-wavelength diffraction theory. Asymptotic methods. Transl. from the Russian by E. F. Kuester. Zbl 0742.35002Babič, V. M.; Buldyrev, V. S. 32 1991 The space-time ray method. Linear and nonlinear waves. (Prostranstvenno-vremennoj luchevoj metod. Linejnye i nelinejnye volny.) Zbl 0678.35002Babbich, V. M.; Buldyrev, V. S.; Molotkov, I. A. 32 1985 On evaluation of the diffraction coefficients for arbitrary ”nonsingular” directions of a smooth convex cone. Zbl 0992.78016Babich, Vassilii M.; Dement’ev, Daniel B.; Samokish, Boris A.; Smyshlyaev, Valery P. 23 2000 The complex space-time ray method and ”quasi-photons”. Zbl 0477.35025Babich, V. M.; Ulin, V. V. 17 1981 The linear equations of mathematical physics. Edited by S. G. Mikhlin. (Линеиные уравнения математическои физики.) Zbl 0122.33001Babich, V. M.; Kapilevich, M. B.; Mikhlin, S. G.; Natanson, G. I.; Riz, P. M.; Slobodetskii, L. N.; Smirnov, M. M. 15 1964 Elastic waves: high frequency theory. Zbl 1402.74003Babich, Vassily M.; Kiselev, Aleksei P. 13 2018 The short wave asymptotic form of the solution for the problem of a point source in an inhomogeneous medium. Zbl 0167.24301Babich, V. M. 13 1968 Methode der Grenzschicht in Beugungsproblemen. (Metod pogranicnogo sloya v zadachahk difrakoij.). Zbl 0317.35001Babich, V. M.; Kirpichnikova, N. Ya. 10 1974 On the diffraction of high-frequency waves by a cone of arbitrary shape. Zbl 0968.74551Babich, Vasilii; Dement’ev, Daniel; Samokish, Boris 9 1995 On Budaev and Bogy’s approach to diffraction by the 2D traction-free elastic wedge. Zbl 1223.74022Kamotskii, V. V.; Fradkin, L. Ju.; Samokish, B. A.; Borovikov, V. A.; Babich, V. M. 9 2006 Complex space-time ray method and ”quasiphotons”. Zbl 0532.35007Babich, V. M.; Ulin, V. V. 9 1984 Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone. Zbl 0584.35019Babich, V. M.; Smyshlyaev, V. P. 8 1986 Eigenfunctions concentrated in a neighborhood of a closed geodesic. Zbl 0207.11001Babich, V. M. 8 1968 Non-geometrical waves - are there any? An asymptotic description of some ’non-geometrical’ phenomena in seismic wave propagation. Zbl 0704.73023Babich, Vasily M.; Kiselev, Aleksey P. 7 1989 Propagation of Love waves along the surface of an anisotropic body of an arbitrary shape. Zbl 0662.73020Azhotkin, V. D.; Babich, V. M. 7 1987 The focussing problem and the asymptotic behavior of the spectral function of the Laplace-Beltrami operator. Zbl 0357.35020Babich, V. M.; Levitan, B. M. 6 1976 The art of asymptotics. Zbl 0374.41013Babich, V. M.; Buldyrev, V. S. 6 1977 Zur Frage der Fortsetzung von Funktionen. Zbl 0050.06201Babich, V. M. 6 1953 Über die Beschränktheit des Dirichletschen Integrals. Zbl 0072.05002Slobodetskij, L. N.; Babich, V. M. 6 1956 The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity. Zbl 0621.35076Babich, V. M.; Smyshlyaev, V. P. 5 1987 Ausbreitung von Love- und Rayleigh-Wellen in einem schwach inhomogenen, geschichteten Medium. Zbl 0325.73032Babich, V. M.; Chikhachev, B. A. 5 1975 Problem of focusing and the asymptotics of the spectral function of the Laplace-Beltrami operator. I. Zbl 0514.35064Babich, V. M.; Levitan, B. M. 5 1983 The multidimensional WKB method or ray method. Its analogs and generalizations. Zbl 0657.35119Babich, V. M. 5 1988 Application of the method of two-scale expansions to the single-frequency problem of the theory of nonlinear oscillations. Zbl 0596.70027Azhotkin, V. D.; Babich, V. M. 4 1985 The mathematical theory of diffraction ( a survey of some investigations carried out in the laboratory of mathematical problems of geophysics, Leningrad branch of the Mathematical Institute). Zbl 0850.01021Babich, V. M. 4 1986 Hadamard’s ansatz, its analogs, generalizations, applications. Zbl 0779.35002Babich, V. M. 4 1991 The focussing problem and asymptotic behavior of the spectral function of the Laplace-Beltrami operator. Zbl 0427.35051Babich, V. M.; Levitan, B. M. 4 1978 The diffraction of a high-frequency acoustic wave by a narrow-angle absolutely rigid cone of arbitrary shape. Zbl 0885.76089Babich, V. M. 4 1996 The analytic extension of the resolvent of outer three-dimensional problems for Laplace operators in the second sheet. Zbl 0292.35064Babich, V. M.; Grigor’eva, N. S. 4 1974 A new approach to the problem of the Rayleigh wave propagation along the boundary of a non-homogeneous elastic body. Zbl 1163.74312Babich, V. M.; Kirpichnikova, N. Ya. 4 2004 On the PC-ansatz. Zbl 1082.35048Babich, V. M. 4 2004 The propagation of Rayleigh waves over the surface of a non-homogeneous elastic body with an arbitrary form. Zbl 0117.41707Babich, V. M.; Rusakova, N. J. 4 1962 The Hadamard ansatz, its analogues, generalizations, and applications. Zbl 0791.35002Babich, V. M. 3 1991 Boundary layer approach to describe an interference head wave. Zbl 1231.74219Babich, Vasily M. 3 2009 On Fock’s type asymptotics of Legendre functions. Zbl 0874.33010Babich, V. M.; Cherednichenko, K. D. 3 1997 Mathematical methods in the theory of elastic waves. Zbl 0496.73018Babich, V. M.; Molotkov, I. A. 3 1977 On the propagation of surface electromagnetic waves analogous to Rayleigh waves in the case of Leontovich boundary conditions. Zbl 1092.35108Babich, V. M.; Kuznetsov, A. V. 3 2005 The space-time ray method and quasiphotons. Zbl 1176.81170Babich, V. M. 3 2008 Complex ray solutions and eigenfunctions concentrated in a neighborhood of a closed geodesic. Zbl 0488.58025Babich, V. M.; Ulin, V. V. 3 1982 Disk-shaped normal-rupture crack near the surface of a semiinfinite body with initial stresses. Zbl 0770.73059Babich, V. M.; Guz’, A. N.; Nazarenko, V. M. 2 1991 Mathematical problems in the theory of wave propagation. Part 24. Zbl 0924.00023 2 1997 A ray description of all wavefields generated by a high-frequency point source near an interface. Zbl 1097.35521Babich, Vassily M.; Kiselev, Aleksei P.; Lawry, James M. H.; Starkov, Alexander S. 2 2001 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 2 2010 On the scattering problem for the Schrödinger equation in case of a potential which is linear with respect to time and to the coordinate. II Correctness, smoothness, behaviour of the solution at infinity. Zbl 0606.35063Babich, V. M.; Smyshlyaev, V. P. 2 1985 A hyperbolic equation with the large parameter lower terms and hierarchy of waves. Zbl 0827.35071Babich, V. M.; Klimova, A. A. 2 1994 “Nongeometrical phenomena” in propagation of elastic surface waves. Zbl 1100.74032Babich, V. M.; Kiselev, A. P. 2 2004 An interference head wave (Buldyrev wave) and the locality principle. Zbl 1404.35161Babich, V. M.; Matskovskiy, A. 2 2017 Fundamental solutions of the dynamical equations of elasticity for nonhomogeneous media. Zbl 0102.17202Babich, V. M. 2 1961 Existence theorem for the solution of Dirichlet and Neumann problems for the Helmholtz equation in the quasiperiodic case. Zbl 0683.35020Babich, V. M. 2 1988 Skin-effect in the case of a conductor of an arbitrary cross section. Zbl 0566.35087Babich, V. M. 1 1985 Selected works. Complex analysis. Mathematical theory of diffraction. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii). Compiled and with commentaries by V. M. Babich, N. K. Nikol’skij and V. P. Khavin. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii.) Zbl 0699.01037Smirnov, V. I. 1 1988 On quasiphotons of Rayleigh waves (anisotropic elastic body case). Zbl 1189.74064Babich, V. M.; Poskryakov, A. V. 1 2006 Scattering of high-frequency electromagnetic waves by the vertex of a perfectly conducting cone (singular directions). Zbl 1108.78007Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2002 Propagation of waves in piezoelectric layer with a weak horizontal nonhomogeneity. Zbl 0953.74560Babich, Vasilii M.; Lukyanov, Valery V. 1 1997 Solution of the diffraction problem of a plane wave by an impedance wedge (non-stationary case. Smirnov-Sobolev method). Zbl 1321.35123Babich, V. M. 1 2015 Scattering of a high-frequency wave by the vertex of an arbitrary cone (singular directions). Zbl 1003.78006Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2000 The boundary layer approach to the description of an interference head wave. Zbl 1344.35008Babich, V. M. 1 2015 The long wave asymptotics in problems of scattering the elastic waves. Zbl 0624.73027Babich, V. M.; Ivanov, M. I. 1 1986 Asymptotic solution of the problem of a point source of diffusion in a moving medium with low diffusion coefficients. Zbl 0625.35037Babich, V. M. 1 1986 On the development of methods for problems of propagation and diffraction of waves by S. L. Sobolev. Zbl 0638.35069Alekseev, A. S.; Babich, V. M. 1 1986 On the scattering problem for the Schrödinger equation in the case of the potential which is linear with respect to time and the coordinate. I: Asymptotics in the shadow zone. Zbl 0557.35024Babich, V. M.; Smyshlyaev, V. P. 1 1984 Asymptotic behavior relative to a large parameter of the solution of the Fock-Klein-Gordon equation in the case of a discontinuous initial condition. Zbl 0562.35012Babich, V. M. 1 1985 Arlen Mikhailovich Il’in. Zbl 1104.01309Babich, V. M.; Kalyakin, L. A.; Ramazanov, M. D.; Rozov, N. Kh. 1 2002 To the problem on the asymptotics with respect to the indices of the associated Legendre function. Zbl 1104.33300Babich, V. M. 1 2002 Application of complex rays to the calculation of scalar ”non-geometric” waves. Zbl 0741.73039Babich, V. M. 1 1990 The case of exact integrability of the equation for SH-waves. Zbl 0810.35130Babich, V. M. 1 1992 D. Ludwig’s method and the boundary-layer method in the problem of diffraction by a smooth body. Zbl 0337.35021Babich, V. M. 1 1975 The strict justification of the short-wave approximation in the three- dimensional case. Zbl 0391.35025Babich, V. M. 1 1973 A high-frequency point source of oscillations near a concave mirror. Zbl 0401.35022Babich, V. M. 1 1979 Asymptotic properties of solutions to some three-dimensional wave problems. Zbl 0401.35023Babich, V. M.; Grigor’eva, N. S. 1 1979 Nonspectral singularities of Green’s function for the Helmholtz equation in the exterior of an arbitrary convex polygon. Zbl 0401.35031Babich, V. M.; Grigor’eva, N. S. 1 1979 A point source of oscillation in a neighbourhood of a concave mirror. II. Zbl 0427.35006Babich, V. M. 1 1979 Mathematical problems in the theory of wave propagation. Part 27. Transl. from the Russian. Zbl 0967.00035 1 2000 Focusing problem and the asymptotics of the spectral function of the Laplace-Beltrami operator. II. Zbl 0495.35066Babich, V. M. 1 1982 Orthogonal expansions and Fourier method. Textbook. (Ortogonal’nye razlozheniya i metod Fur’e. Uchebnoe posobie). Zbl 0513.34001Babich, V. M.; Grigor’eva, N. S. 1 1983 On a scattering problem for the Schrödinger equation with a potential linear in both time and coordinate. Zbl 0653.35071Babich, V. M.; Smyshlyaev, V. P. 1 1985 Eigenoscillations of mechanical systems and the spectral theory of self-adjoint operators. Zbl 0930.47043Babich, V. M. 1 1994 Factorizability of matrix functions: a direct proof. Zbl 1206.30052Babich, V. M. 1 2009 A class of topographical waveguides. Zbl 1210.35261Babich, V. M. 1 2011 Hadamard’s method and the asymptotics of the spectral function of a second-order differential operator. Zbl 0463.35060Babich, V. M. 1 1980 Complex ray solutions and eigenfunctions concentrated in a neighbourhood of a closed geodesic. Zbl 0476.58030Babich, V. M.; Ulin, V. V. 1 1981 On the propagation of Love waves along the surface of a non-homogeneous elastic body of an arbitrary form. (Über die Fortpflanzung Lovescher Wellen entlang der Oberfläche eines inhomogenen elastischen Körpers beliebiger Form.) Zbl 0213.27405Babich, V. M.; Kirpichnikova, N. Ya. 1 1969 A formal method of construction of a short-wave asymptotic expression for Green’s function. Zbl 0228.35026Babich, V. M. 1 1971 On eigen oscillations of the multilayered resonator. Zbl 0231.35043Babich, V. M. 1 1969 On the asymptotics of Green’s functions for certain wave problems. I: Stationary case. Zbl 0249.35016Babich, V. M. 1 1972 Über Eigenfunktionen, die in der Nähe einer abgeschlossenen Geodätischen konzentriert sind. Zbl 0164.13601Babich, V. M.; Lazutkin, V. F. 1 1967 Scattering of the plane wave by a transparent wedge. Zbl 1288.35364Babich, V. M.; Mokeeva, N. V. 1 2008 A point source of electromagnetic waves in an inhomogeneous medium: a high frequency ansatz and the dual nonstationary singular solution. Zbl 1435.35370Babich, V. M. 1 2019 Locality principle and a high-frequency asymptotics of an interference head wave. Zbl 1422.35010Babich, V. M. 1 2019 A point source of electromagnetic waves in an inhomogeneous medium: a high frequency ansatz and the dual nonstationary singular solution. Zbl 1435.35370Babich, V. M. 1 2019 Locality principle and a high-frequency asymptotics of an interference head wave. Zbl 1422.35010Babich, V. M. 1 2019 Elastic waves: high frequency theory. Zbl 1402.74003Babich, Vassily M.; Kiselev, Aleksei P. 13 2018 An interference head wave (Buldyrev wave) and the locality principle. Zbl 1404.35161Babich, V. M.; Matskovskiy, A. 2 2017 Solution of the diffraction problem of a plane wave by an impedance wedge (non-stationary case. Smirnov-Sobolev method). Zbl 1321.35123Babich, V. M. 1 2015 The boundary layer approach to the description of an interference head wave. Zbl 1344.35008Babich, V. M. 1 2015 A class of topographical waveguides. Zbl 1210.35261Babich, V. M. 1 2011 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 2 2010 Boundary layer approach to describe an interference head wave. Zbl 1231.74219Babich, Vasily M. 3 2009 Factorizability of matrix functions: a direct proof. Zbl 1206.30052Babich, V. M. 1 2009 The space-time ray method and quasiphotons. Zbl 1176.81170Babich, V. M. 3 2008 Scattering of the plane wave by a transparent wedge. Zbl 1288.35364Babich, V. M.; Mokeeva, N. V. 1 2008 On Budaev and Bogy’s approach to diffraction by the 2D traction-free elastic wedge. Zbl 1223.74022Kamotskii, V. V.; Fradkin, L. Ju.; Samokish, B. A.; Borovikov, V. A.; Babich, V. M. 9 2006 On quasiphotons of Rayleigh waves (anisotropic elastic body case). Zbl 1189.74064Babich, V. M.; Poskryakov, A. V. 1 2006 On the propagation of surface electromagnetic waves analogous to Rayleigh waves in the case of Leontovich boundary conditions. Zbl 1092.35108Babich, V. M.; Kuznetsov, A. V. 3 2005 A new approach to the problem of the Rayleigh wave propagation along the boundary of a non-homogeneous elastic body. Zbl 1163.74312Babich, V. M.; Kirpichnikova, N. Ya. 4 2004 On the PC-ansatz. Zbl 1082.35048Babich, V. M. 4 2004 “Nongeometrical phenomena” in propagation of elastic surface waves. Zbl 1100.74032Babich, V. M.; Kiselev, A. P. 2 2004 Scattering of high-frequency electromagnetic waves by the vertex of a perfectly conducting cone (singular directions). Zbl 1108.78007Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2002 Arlen Mikhailovich Il’in. Zbl 1104.01309Babich, V. M.; Kalyakin, L. A.; Ramazanov, M. D.; Rozov, N. Kh. 1 2002 To the problem on the asymptotics with respect to the indices of the associated Legendre function. Zbl 1104.33300Babich, V. M. 1 2002 A ray description of all wavefields generated by a high-frequency point source near an interface. Zbl 1097.35521Babich, Vassily M.; Kiselev, Aleksei P.; Lawry, James M. H.; Starkov, Alexander S. 2 2001 On evaluation of the diffraction coefficients for arbitrary ”nonsingular” directions of a smooth convex cone. Zbl 0992.78016Babich, Vassilii M.; Dement’ev, Daniel B.; Samokish, Boris A.; Smyshlyaev, Valery P. 23 2000 Scattering of a high-frequency wave by the vertex of an arbitrary cone (singular directions). Zbl 1003.78006Babich, V. M.; Dement’ev, D. B.; Samokish, B. A.; Smyshlyaev, V. P. 1 2000 Mathematical problems in the theory of wave propagation. Part 27. Transl. from the Russian. Zbl 0967.00035 1 2000 On Fock’s type asymptotics of Legendre functions. Zbl 0874.33010Babich, V. M.; Cherednichenko, K. D. 3 1997 Mathematical problems in the theory of wave propagation. Part 24. Zbl 0924.00023 2 1997 Propagation of waves in piezoelectric layer with a weak horizontal nonhomogeneity. Zbl 0953.74560Babich, Vasilii M.; Lukyanov, Valery V. 1 1997 The diffraction of a high-frequency acoustic wave by a narrow-angle absolutely rigid cone of arbitrary shape. Zbl 0885.76089Babich, V. M. 4 1996 On the diffraction of high-frequency waves by a cone of arbitrary shape. Zbl 0968.74551Babich, Vasilii; Dement’ev, Daniel; Samokish, Boris 9 1995 A hyperbolic equation with the large parameter lower terms and hierarchy of waves. Zbl 0827.35071Babich, V. M.; Klimova, A. A. 2 1994 Eigenoscillations of mechanical systems and the spectral theory of self-adjoint operators. Zbl 0930.47043Babich, V. M. 1 1994 The case of exact integrability of the equation for SH-waves. Zbl 0810.35130Babich, V. M. 1 1992 Short-wavelength diffraction theory. Asymptotic methods. Transl. from the Russian by E. F. Kuester. Zbl 0742.35002Babič, V. M.; Buldyrev, V. S. 32 1991 Hadamard’s ansatz, its analogs, generalizations, applications. Zbl 0779.35002Babich, V. M. 4 1991 The Hadamard ansatz, its analogues, generalizations, and applications. Zbl 0791.35002Babich, V. M. 3 1991 Disk-shaped normal-rupture crack near the surface of a semiinfinite body with initial stresses. Zbl 0770.73059Babich, V. M.; Guz’, A. N.; Nazarenko, V. M. 2 1991 Application of complex rays to the calculation of scalar ”non-geometric” waves. Zbl 0741.73039Babich, V. M. 1 1990 Non-geometrical waves - are there any? An asymptotic description of some ’non-geometrical’ phenomena in seismic wave propagation. Zbl 0704.73023Babich, Vasily M.; Kiselev, Aleksey P. 7 1989 The multidimensional WKB method or ray method. Its analogs and generalizations. Zbl 0657.35119Babich, V. M. 5 1988 Existence theorem for the solution of Dirichlet and Neumann problems for the Helmholtz equation in the quasiperiodic case. Zbl 0683.35020Babich, V. M. 2 1988 Selected works. Complex analysis. Mathematical theory of diffraction. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii). Compiled and with commentaries by V. M. Babich, N. K. Nikol’skij and V. P. Khavin. (Izbrannye trudy. Kompleksnyj analiz. Matematicheskaya teoriya difraktsii.) Zbl 0699.01037Smirnov, V. I. 1 1988 Propagation of Love waves along the surface of an anisotropic body of an arbitrary shape. Zbl 0662.73020Azhotkin, V. D.; Babich, V. M. 7 1987 The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity. Zbl 0621.35076Babich, V. M.; Smyshlyaev, V. P. 5 1987 Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone. Zbl 0584.35019Babich, V. M.; Smyshlyaev, V. P. 8 1986 The mathematical theory of diffraction ( a survey of some investigations carried out in the laboratory of mathematical problems of geophysics, Leningrad branch of the Mathematical Institute). Zbl 0850.01021Babich, V. M. 4 1986 The long wave asymptotics in problems of scattering the elastic waves. Zbl 0624.73027Babich, V. M.; Ivanov, M. I. 1 1986 Asymptotic solution of the problem of a point source of diffusion in a moving medium with low diffusion coefficients. Zbl 0625.35037Babich, V. M. 1 1986 On the development of methods for problems of propagation and diffraction of waves by S. L. Sobolev. Zbl 0638.35069Alekseev, A. S.; Babich, V. M. 1 1986 The space-time ray method. Linear and nonlinear waves. (Prostranstvenno-vremennoj luchevoj metod. Linejnye i nelinejnye volny.) Zbl 0678.35002Babbich, V. M.; Buldyrev, V. S.; Molotkov, I. A. 32 1985 Application of the method of two-scale expansions to the single-frequency problem of the theory of nonlinear oscillations. Zbl 0596.70027Azhotkin, V. D.; Babich, V. M. 4 1985 On the scattering problem for the Schrödinger equation in case of a potential which is linear with respect to time and to the coordinate. II Correctness, smoothness, behaviour of the solution at infinity. Zbl 0606.35063Babich, V. M.; Smyshlyaev, V. P. 2 1985 Skin-effect in the case of a conductor of an arbitrary cross section. Zbl 0566.35087Babich, V. M. 1 1985 Asymptotic behavior relative to a large parameter of the solution of the Fock-Klein-Gordon equation in the case of a discontinuous initial condition. Zbl 0562.35012Babich, V. M. 1 1985 On a scattering problem for the Schrödinger equation with a potential linear in both time and coordinate. Zbl 0653.35071Babich, V. M.; Smyshlyaev, V. P. 1 1985 Complex space-time ray method and ”quasiphotons”. Zbl 0532.35007Babich, V. M.; Ulin, V. V. 9 1984 On the scattering problem for the Schrödinger equation in the case of the potential which is linear with respect to time and the coordinate. I: Asymptotics in the shadow zone. Zbl 0557.35024Babich, V. M.; Smyshlyaev, V. P. 1 1984 Problem of focusing and the asymptotics of the spectral function of the Laplace-Beltrami operator. I. Zbl 0514.35064Babich, V. M.; Levitan, B. M. 5 1983 Orthogonal expansions and Fourier method. Textbook. (Ortogonal’nye razlozheniya i metod Fur’e. Uchebnoe posobie). Zbl 0513.34001Babich, V. M.; Grigor’eva, N. S. 1 1983 Complex ray solutions and eigenfunctions concentrated in a neighborhood of a closed geodesic. Zbl 0488.58025Babich, V. M.; Ulin, V. V. 3 1982 Focusing problem and the asymptotics of the spectral function of the Laplace-Beltrami operator. II. Zbl 0495.35066Babich, V. M. 1 1982 The complex space-time ray method and ”quasi-photons”. Zbl 0477.35025Babich, V. M.; Ulin, V. V. 17 1981 Complex ray solutions and eigenfunctions concentrated in a neighbourhood of a closed geodesic. Zbl 0476.58030Babich, V. M.; Ulin, V. V. 1 1981 Hadamard’s method and the asymptotics of the spectral function of a second-order differential operator. Zbl 0463.35060Babich, V. M. 1 1980 The boundary-layer method in diffraction problems. Transl. by E. F. Kuester. Zbl 0411.35001Babich, V. M.; Kirpichnikova, N. Ya. 41 1979 A high-frequency point source of oscillations near a concave mirror. Zbl 0401.35022Babich, V. M. 1 1979 Asymptotic properties of solutions to some three-dimensional wave problems. Zbl 0401.35023Babich, V. M.; Grigor’eva, N. S. 1 1979 Nonspectral singularities of Green’s function for the Helmholtz equation in the exterior of an arbitrary convex polygon. Zbl 0401.35031Babich, V. M.; Grigor’eva, N. S. 1 1979 A point source of oscillation in a neighbourhood of a concave mirror. II. Zbl 0427.35006Babich, V. M. 1 1979 The focussing problem and asymptotic behavior of the spectral function of the Laplace-Beltrami operator. Zbl 0427.35051Babich, V. M.; Levitan, B. M. 4 1978 The art of asymptotics. Zbl 0374.41013Babich, V. M.; Buldyrev, V. S. 6 1977 Mathematical methods in the theory of elastic waves. Zbl 0496.73018Babich, V. M.; Molotkov, I. A. 3 1977 The focussing problem and the asymptotic behavior of the spectral function of the Laplace-Beltrami operator. Zbl 0357.35020Babich, V. M.; Levitan, B. M. 6 1976 Ausbreitung von Love- und Rayleigh-Wellen in einem schwach inhomogenen, geschichteten Medium. Zbl 0325.73032Babich, V. M.; Chikhachev, B. A. 5 1975 D. Ludwig’s method and the boundary-layer method in the problem of diffraction by a smooth body. Zbl 0337.35021Babich, V. M. 1 1975 Methode der Grenzschicht in Beugungsproblemen. (Metod pogranicnogo sloya v zadachahk difrakoij.). Zbl 0317.35001Babich, V. M.; Kirpichnikova, N. Ya. 10 1974 The analytic extension of the resolvent of outer three-dimensional problems for Laplace operators in the second sheet. Zbl 0292.35064Babich, V. M.; Grigor’eva, N. S. 4 1974 The strict justification of the short-wave approximation in the three- dimensional case. Zbl 0391.35025Babich, V. M. 1 1973 Asymptotische Methoden in Problemen der Diffraktion von Kurzwellen. Methode der Etalon-Probleme. (Asimptoticeskie metody v zadacah difrakcii korotkih voln. Metod etalonnyh zadac.). Zbl 0255.35002Babich, V. M.; Buldyrev, V. S. 140 1972 On the asymptotics of Green’s functions for certain wave problems. I: Stationary case. Zbl 0249.35016Babich, V. M. 1 1972 A formal method of construction of a short-wave asymptotic expression for Green’s function. Zbl 0228.35026Babich, V. M. 1 1971 On the propagation of Love waves along the surface of a non-homogeneous elastic body of an arbitrary form. (Über die Fortpflanzung Lovescher Wellen entlang der Oberfläche eines inhomogenen elastischen Körpers beliebiger Form.) Zbl 0213.27405Babich, V. M.; Kirpichnikova, N. Ya. 1 1969 On eigen oscillations of the multilayered resonator. Zbl 0231.35043Babich, V. M. 1 1969 The short wave asymptotic form of the solution for the problem of a point source in an inhomogeneous medium. Zbl 0167.24301Babich, V. M. 13 1968 Eigenfunctions concentrated in a neighborhood of a closed geodesic. Zbl 0207.11001Babich, V. M. 8 1968 Über Eigenfunktionen, die in der Nähe einer abgeschlossenen Geodätischen konzentriert sind. Zbl 0164.13601Babich, V. M.; Lazutkin, V. F. 1 1967 The linear equations of mathematical physics. Edited by S. G. Mikhlin. (Линеиные уравнения математическои физики.) Zbl 0122.33001Babich, V. M.; Kapilevich, M. B.; Mikhlin, S. G.; Natanson, G. I.; Riz, P. M.; Slobodetskii, L. N.; Smirnov, M. M. 15 1964 The propagation of Rayleigh waves over the surface of a non-homogeneous elastic body with an arbitrary form. Zbl 0117.41707Babich, V. M.; Rusakova, N. J. 4 1962 Fundamental solutions of the dynamical equations of elasticity for nonhomogeneous media. Zbl 0102.17202Babich, V. M. 2 1961 Über die Beschränktheit des Dirichletschen Integrals. Zbl 0072.05002Slobodetskij, L. N.; Babich, V. M. 6 1956 Zur Frage der Fortsetzung von Funktionen. Zbl 0050.06201Babich, V. M. 6 1953 all cited Publications top 5 cited Publications all top 5 Cited by 385 Authors 37 Babich, Vasiliĭ Mikhaĭlovich 19 Lyalinov, Mikhail Anatolievich 18 Dobrokhotov, Sergei Yurievich 15 Kirpichnikova, N. Ya. 14 Popov, Mikhail Mikhailovich 12 Qian, Jianliang 12 Smyshlyaev, Valery P. 8 Yanson, Z. A. 7 Kurylëv, Yaroslav Vadimovich 6 Karasev, Mikhail Vladimirovich 6 Kiselev, Aleksei P. 6 Matskovskiy, A. A. 6 Tirozzi, Brunello 5 Anikin, A. Yu. 5 Buldyrev, V. S. 5 Burridge, Robert 5 Chigarev, Anatoly Vlasovich 5 Feizmohammadi, Ali 5 Kachalov, Aleksandr Pavlovich 5 Oksanen, Lauri 5 Perel, Maria V. 5 Philippov, Vjacheslav Borisovish 4 Abrahams, I. David 4 Andronov, Ivan V. 4 Assier, Raphaël C. 4 Belishev, Mikhail Igorevitch 4 Grigor’eva, N. S. 4 Kalyakin, Leonid Anatol’evich 4 Kozlov, Valeriĭ Vasil’evich 4 Krauklis, A. P. 4 Lassas, Matti J. 4 Lu, Wangtao 4 Luo, Songting 4 Maslov, Viktor Pavlovich 4 Mikhasev, Gennadiĭ Ivanovich 4 Nazaikinskii, Vladimir E. 4 Nazarov, Sergeĭ Aleksandrovich 4 Neshchadim, Mikhail Vladimirovich 4 Pereskokov, A. V. 4 Shanin, Andrey V. 3 Anikonov, Yuriĭ Evgenievich 3 Azhotkin, V. D. 3 Borovskikh, A. V. 3 Chernyshev, G. N. 3 Darmon, Michel 3 Fridman, Lev Izrailevich 3 Kaplunov, Julius D. 3 Khèkalo, S. P. 3 Kirpichnikova, Anna Segeevna 3 Klevin, A. I. 3 Krauklis, Pavel Vladimirovich 3 Lebeau, Gilles 3 Lukyanov, Valery V. 3 Rubtsov, Yu. K. 3 Tagirdzhanov, Azat M. 3 Terman, D. Ya. 3 Tsvetkova, Anna V. 3 Zavorokhin, German L. 2 Belov, Vladimir Vasilyevich 2 Berest, Yuri Yu. 2 Bilyj, I. Ya. 2 Buckley, James J. 2 Bulatov, Vitaliĭ Vasil’evich 2 Chehade, Samar 2 Cherednichenko, Kirill D. 2 Eskin, Gregory 2 Fang, Jun 2 Gautesen, Arthur K. 2 Graham, Ivan G. 2 Hewett, David P. 2 Jacobs, Matthew 2 Kamotskĭ, Il’ya Vladimirovich 2 Kravchenko, Vladislav V. 2 Lanin, A. I. 2 Lazutkin, Vladimir Fedorovich 2 Leung, Shingyu 2 Minenkov, Dmitrii S. 2 Molotkov, I. A. 2 Molotkov, Lev Anatolievich 2 Ockendon, John R. 2 Palamodov, Victor Pavlovitch 2 Podil’chuk, Yurij Nikolaevich 2 Popov, Aleksandr Leonidovich 2 Rabinovich, Vladimir Samuilovich 2 Ramm, Alexander G. 2 Rogerson, Graham A. 2 Salo, Mikko 2 Semtchenok, N. M. 2 Shafarevich, Andreĭ Igorevich 2 Sjöstrand, Johannes 2 Spence, Euan A. 2 Starkov, Alexander S. 2 Tanuma, Kazumi 2 Tsepelev, N. V. 2 Uhlmann, Gunther Alberto 2 Ulin, V. V. 2 Vorob’ev, Yu. M. 2 Wang, Zhuang 2 Zalipaev, V. V. 2 Zayaev, A. B. ...and 285 more Authors all top 5 Cited in 97 Serials 80 Journal of Soviet Mathematics 77 Journal of Mathematical Sciences (New York) 41 Wave Motion 24 Journal of Applied Mathematics and Mechanics 12 Journal of Computational Physics 12 Russian Journal of Mathematical Physics 11 Functional Analysis and its Applications 10 Mathematical Notes 9 Theoretical and Mathematical Physics 8 St. Petersburg Mathematical Journal 7 Prikladnaya Matematika i Mekhanika 7 Soviet Applied Mechanics 5 Fluid Dynamics 5 International Applied Mechanics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Proceedings of the Steklov Institute of Mathematics 3 Communications in Mathematical Physics 3 Advances in Mathematics 3 Fuzzy Sets and Systems 3 Rendiconti del Seminario Matematico della Università di Padova 3 Siberian Mathematical Journal 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Scientific Computing 3 SIAM Journal on Applied Mathematics 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 Russian Physics Journal 3 Multiscale Modeling & Simulation 3 Annali della Scuola Normale Superiore di Pisa. 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