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Vladimir A. Borovikov December 25, 1932-July 6, 2008. (English) Zbl 1173.01314

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01A70 Biographies, obituaries, personalia, bibliographies

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Borovikov, Vladimir A.
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[1] ”On the Intersection of a Sequence of Simplices,” Uspekhi Mat. Nauk 7(6), 179–180 (1952).
[2] ”Construction of a Zero-Dimensional Compactum of Metric Order n,” Mat. Sb. 34, 279–288 (1954).
[3] ”A Topological Problem Connected with Questions of Quantum Electrodynamics,” Uspekhi Mat. Nauk 11(3), 113–118 (1956).
[4] ”Generalization of the Herglotz-Petrovskii Formula and the Diffusion of Waves,” Dokl. Akad. Nauk SSSR 106(4), 587–590 (1956).
[5] ”The Fundamental Solution of a Linear Partial Differential Equation with Constant Coefficients,” Dokl. Akad. Nauk SSSR 119(3), 407–410 (1958). · Zbl 0080.30303
[6] ”Fundamental Solutions of Linear Partial Differential Equations with Constant Coefficients,” Tr. Mosk. Mat. Obs. 8, 199–257 (1959).
[7] ”Some Sufficient Conditions for the Absence of Gaps,” Mat. Sb. 55(3), 237–254 (1961).
[8] ”Phase Analysis of p-p Scattering at the Energy of 95 MeV,” J. Exp. Theor. Phys. 40(4), 1106–1111 (1961); I. M. Gelfand, A. F. Grashin, and I. Ya. Pomeranchuk, co-authors.
[9] ”The Reduction of Some Three-Dimensional Diffraction Problems to the Dirichlet Problem for the Laplace Equation,” Dokl. Akad. Nauk SSSR 144(3), 527–530 (1962).
[10] ”The Two-Dimensional Problem of Diffraction by a Polygon,” Dokl. Akad. Nauk SSSR 144(4), 743–746 (1962).
[11] ”Zygmund-Calderón Theorems,” Supplement no. 2 in S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the Boundary for Solutions of Elliptic Differential Equations (Mir, Moscow, 1962), pp. 142–166 [in Russian].
[12] ”The Three-Dimensional Problem of Diffraction by a Prism,” Dokl. Akad. Nauk SSSR 148(3), 545–548 (1963).
[13] ”The Green Function for a Problem of Diffraction by a Polyhedral Angle,” Dokl. Akad. Nauk SSSR 151(2), 251–254 (1963).
[14] ”Two-Dimensional Problem of Diffraction by a Polygon,” in Diffraction and Wave Radiation (Leningrad State University, Leningrad, 1965), pp. 5–70.
[15] ”The Simplest Symmetric Game of Many Automata,” Avtomat. i Telemekh. 4, 683–687 (1965); V. I. Bryzgalov, co-author.
[16] ”Diffraction of a PlaneWave by a Segment for Incident and Observation Angles Close to Sliding Ones,” in Abstracts of Reports. III All-Union Symposium on Diffraction and Wave Propagation (Nauka, Moscow, 1964), pp. 90–93.
[17] ”Diffraction of a Plane Wave by a Segment,” Dokl. Akad. Nauk SSSR 159(4), 711–714 (1964).
[18] Diffraction by Polygons and Polyhedra (Nauka, Moscow, 1966).
[19] ”On a Uniqueness Theorem for a Parabolic System of Equations,” Uspekhi Mat. Nauk 22(2), 118–119 (1967).
[20] ”An Approximate Solution of Goore’s Game,” Problemy Kibernet. 20, 145–150 (1968).
[21] ”On the Problem of the Decay of a Discontinuity for a System of Two Quasilinear Equations,” Dokl. Akad. Nauk SSSR 185(2), 250–252 (1969).
[22] ”Asymptotics as t of Certain Solutions of a System of Two Quasilinear Equations,” Dokl. Akad. Nauk SSSR 185(3), 499–502 (1969). · Zbl 0203.10101
[23] ”On the Decay of Discontinuity for a System of Two Quasilinear Equations,” Akad. Nauk SSSR, Inst. Prikl. Mat., Preprint no. 24, 3–85 (1969).
[24] ”Diffraction by Polygons and Polyhedra,” in Diffraction and Wave Propagation. I All-Union School-Seminar on Diffraction and Wave Propagation (Kharkov, 1969), pp. 305–346.
[25] ”Ray Expansion of a Cylindrical Wave,” Radiotekhn. i Elektron. 15(4), 819–821 (1970).
[26] ”Geometric Theory of Diffraction,” in Analytic Methods in the Theory of Diffraction and Wave Propagation (Ministry of Radio Industry, Moscow, 1970); B. E. Kinber, co-author.
[27] ”An Upper Bound for the Time of Existence of a Smooth Solution of a Quasilinear Hyperbolic System,” Dokl. Akad. Nauk SSSR 201(1), 12–15 (1971).
[28] ”On the Existence of a Global Solution for a Class of Quasilinear Hyperbolic Equations,” Akad. Nauk SSSR, Inst. Prikl. Mat., Preprint no. 86 (1971).
[29] ”The Decay of a Discontinuity for Systems of Two Quasilinear Equations,” Tr. Mosk. Mat. Obs. 27, 53–92 (1972).
[30] Four Lectures on Geometric Theory of Diffraction (Leningrad State University, Leningrad, 1972); B. E. Kinber, co-author.
[31] ”Boundary Waves in the Problem of Diffraction by a Curvilinear Surface with an Edge,” Akad. Nauk SSSR, Inst. Prikl. Mat., Preprint no. 63 (1973).
[32] ”Diffraction by the Open Edge of a Waveguide with a Flange,” in Theory of Diffraction and Wave Propagation. VII All-Union Symposium on Diffraction and Wave Propagation (Moscow-Erevan, 1973), pp. 208–212.
[33] ”BoundaryWave in the Problem of Diffraction by a Surface with an Edge. Part I: Influence of Curving of the Faces on the Boundary Wave,” ibid., 213–217.
[34] ”Part II. Matched Boundary Value Problems,” ibid., 217–222.
[35] ”Diffraction by an Open End of a Waveguide with a Flange,” Dokl. Akad. Nauk SSSR 217(4), 788–791 (1974).
[36] ”Some Problems of Asymptotic Theory of Diffraction,” Proceedings of the IEEE 622(11), 14–16 (1974); B. E. Kinber, co-author.
[37] Diffraction by the Open End of a Waveguide and Related Problems (Ryazan’ Radio Engineering Institute, Ryazan’, 1975).
[38] ”Diffraction by the Open End of a Waveguide and Related Problems,” Akust. Zh. XXI(3), 480–482 (1975).
[39] ”Diffraction by a Right-Angle Waveguide Bend with a Mirror,” Radiotekhn. i Elektron. 21(1), 47–56 (1976); A. G. Eidus, co-author.
[40] ”Limits of the Applicability of the Kirchhoff Approximation for the Calculation of Reflector Antennas,” Radiotekhn. i Elektron. 21(5), 997–1006 (1976); B. E. Kinber, co-author.
[41] ”Radiation from Skew-Cut Flanged Waveguide,” Radiotekhn. i Elektron. 21(12), 2457–2465 (1976); V. A. Kaloshin, co-author.
[42] ”The Field in a Neighborhood of the Edge in the Problem of Diffraction by a Wedge with Curved Faces,” in Theory of Diffraction and Wave Propagation. VII All-Union Symposium on Diffraction and Wave Propagation. Short Texts of Talks, vol. I (Rostov-on-Don, 1977), pp. 51–53.
[43] ”Interior Error Estimates in Geometric Theory of Diffraction,” ibid., vol. I, pp. 74–77.
[44] ”On a Definition of a Consistent Waveguide-Horn Junction,” ibid., vol. I, pp. 23–26.
[45] ”Propagation of Higher Modes in Slowly Varying Waveguides,” ibid., vol. II, pp. 115–118.
[46] ”On a Definition of a Consistent Waveguide-Horn Junction,” in IX All-Union Acoustic Conference (Moscow, 1977).
[47] ”Propagation of Higher Modes in Slowly Varying Waveguides,” ibid.
[48] ”Higher Modes in Smooth Irregular Waveguides,” Radiotekhn. i Elektron. 23(7), 1365–1376 (1978).
[49] ”Waves and Rays in Irregular Waveguides,” IZMIRAN, Preprint no. 13 (212), 1978; Yu. A. Kravtsov, A. V. Popov, and P. Ya. Ufimtsev, co-authors.
[50] The Geometric Theory of Diffraction (Svyaz’, Moscow, 1978); B. E. Kinber, co-author.
[51] ”Fields in Smoothly Irregular Waveguides and the Problem of the Variation of the Adiabatic Invariant,” Akad. Nauk SSSR, Inst. Prikl. Mat., Preprint no. 99 (1978).
[52] ”Fields in Narrowing Multimode Wave Guides and Eigenfunctions of Open Resonators,” Akad. Nauk SSSR, Inst. Prikl. Mat., Preprint no. 107 (1978).
[53] ”Application of Minimization Methods for Functions of Several Variables to X-Ray Diffraction Analysis of Proteins,” Kristallografiya 24(2), 227–238 (1979); I. M. Gelfand, B. K. Vainshtein, and D. I. Kalinin, co-authors.
[54] ”Fields in Tapered Multimode Waveguides and Natural Frequencies of Open Resonators,” Radiotekhn. i Elektron. 24(11), 2185–2196 (1979).
[55] ”Diffraction by a Wedge with Curved Faces,” Akust. Zh. 25(6), 825–835 (1979).
[56] ”Wave Propagation in Smoothly Irregular Waveguides,” in Direct and Inverse Problems of Diffraction Theory (Radioengineering and Electronics Institute of the Academy of Sciences of the USSR, Moscow, 1979); A. V. Popov, co-author.
[57] ”Radiation Pattern of a Slotted Waveguide Antenna with Wedges,” Radiotekhn. i Elektron. 25(6), 1177–1185 (1980); V. P. Narbut, co-author.
[58] ”A Comparison of Two Methods for Calculating the Field in the Penumbra Region,” Antenny 29, 49–55 (1981); A. G. Eidus, co-author.
[59] ”Comparison of Two Methods for Estimating Mode Transformation on an Inhomogeneous Part of a Waveguide,” Akust. Zh. 27(1), 56–69 (1981); Yu. V. Vladimirov, co-author.
[60] ”On a Nontransforming Waveguide-Horn Junction,” in Waves and Diffraction, vol. 1 (Akad. Nauk SSSR, Moscow, 1981), pp. 275–278; A. L. Karpenko, co-author.
[61] ”Scattering Matrix of the Waveguide-Horn Junction,” ibid., vol. 2, 232–235; V. A. Kaloshin, co-author.
[62] ”On Sums of Integrals Resulting in the Vainshtein Function,” ibid., vol. 2, 240–242.
[63] ”Diffraction by the Edge of a Bi-Cone in the Case of the Neumann Boundary Condition,” ibid., vol. 2, 250–253; Yu. V. Vladimirov, co-author.
[64] ”Model Description of Short Steady-State Acoustic and Internal Waves in Almost Layered Media,” ibid., vol. 3, 170–173; A. V. Popov, co-author.
[65] ”Asymptotics of Internal Wave Fields Excited by Pulsed Sources,” in Abstracts of Reports. III Far-East Acoustic Conference ”Man and Ocean” (1982); Yu. V. Vladimirov and M. Ya. Kel’bert, co-authors.
[66] ”Far Field of Internal Waves Excited by Sources in Uniform Rectilinear Motion,” in Abstracts of Reports. II All-Union Congress of Oceanologists (1982); Yu. V. Vladimirov, co-author.
[67] ”Backward Scattering of Acoustic Waves by Continuous Smooth Cylinders,” in Proceedings of the XX All-Union Acoustic Conference (Akad. Nauk SSSR, Moscow, 1983); N.D. Veksler, co-author.
[68] ”Limits of Applicability of Geometric Diffraction Theory and the Kirchhoff Approximation for the Calculation of Reflector Antennas,” ibid.; B. E. Kinber and A. G. Eidus, co-authors.
[69] ”A Nontransforming Waveguide-Horn Junction,” Radiotekhn. i Elektron. 29(3), 413–418 (1984); A. L. Karpenko, co-author.
[70] ”The Scattering Matrix of a Horn-Waveguide Junction,” Radiotekhn. i Elektron. 29(6), 1068–1077 (1984); V. A. Kaloshin, co-author.
[71] ”The Stationary Phase Method for Two-Dimensional Regions with Angular Points,” Mat. Zametki 36(5), 777–789 (1984).
[72] ”On the Unsuitability of Fresnel Zones and Fresnel Volumes for Estimating the Limits of Applicability of Geometric Diffraction Theory and Geometric Optics,” in Abstracts of Reports. XXIII All-Union Conference on Wave Propagation, vol. 2 (Nauka, Moscow, 1984), pp. 225–227; B. E. Kinber, co-author.
[73] ”The Field near the Wave Front in the Cauchy-Poisson Problem,” Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza, no. 2, 173–174 (1984); M. Ya. Kel’bert, co-author.
[74] ”Field of Internal Gravity Waves Excited by Localized Sources,” Izv. Akad. Nauk SSSR Ser. Fiz. Atmosfer. i Okeana 20(6), 526–532 (1984); Yu. V. Vladimirov and M. Ya. Kel’bert, co-authors.
[75] ”Asymptotics of Solutions of the Internal Wave Equation with Compactly Supported Right-Hand Sides,” Institute for Problems in Mechanics, Russian Academy of Sciences, Preprint no. 136 (1984); Yu. V. Vladimirov and M. Ya. Kel’bert, co-authors.
[76] ”Short-Wave Modes for Wave Ducts in Quasistratified Media,” Wave Motion 6, 525–546 (1984); A. V. Popov, co-author. · Zbl 0564.76027
[77] ”Far Fields of Internal Waves,” in Methods for Hydrophysical Studies (Institute of Applied Physics, Academy of Sciences of the USSR, Gorkii), pp. 101–126 (1984).
[78] ”Uniform Asymptotics of Integrals of Rapidly Oscillating Functions with Singularities in the Factor Multiplying the Exponential,” Institute of Radio Engineering and Electronics, Academy of Sciences of the USSR, Preprint no. 47 (414), 1–53 (1984); A. P. Anyutin, co-author.
[79] ”Scattering of Sound Waves by Smooth Convex Elastic Cylindrical Shells,” Wave Motion 7, 143–152 (1985); N. D. Veksler, co-author.
[80] ”Onset of a Critical Level in a Stratified Medium with Mean Shear Flows,” in Waves and Diffraction, Proceedings of the IX All-Union Symposium on Diffraction and Wave Propagation (Tbilisi, 1986), vol. 1, pp. 140–143.
[81] ”Propagation of Airy Waves in an Ocean Slowly Inhomogeneous Along the Horizontal,” ibid., pp. 160–163; Yu. V. Vladimirov, co-author.
[82] ”Green’s Function of the Equation of Internal Waves in a Stratified Fluid Layer with Mean Shear Flows,” ibid., pp. 164–167; E. S. Levchenko, co-author.
[83] ”Adaptation of Initial Conditions for Internal Waves in a Weakly Stratified Fluid,” ibid., pp. 379–382; M. Ya. Kel’bert, co-author.
[84] ”Evolution of Localized Disturbances of a Stratified Fluid with Variable Brunt-Vaisala Frequency,” Prikl. Mat. Mekh. 50(5), 863–867 (1986); A. P. Anyutin, co-author.
[85] ”On the Limits of Applicability of Asymptotic Formulas for the Field of Internal Waves Excited by Moving Sources,” Izv. Akad. Nauk SSSR Ser. Fiz. Atmosfer. i Okeana, no. 6, 658–661 (1986); V. V. Bulatov, co-author.
[86] ”The Comparative Estimation of Various Methods of Evaluation of Side Radiation from Reflector Antennas and Nonuniform Incident Field,” in Proc. of URSI Symp. of Electr. Theory (Budapest, 1986), pp. 702–703; B. E. Kinber, co-author.
[87] ”Asymptotic Theory of Diffraction by the Open end of Flanged Waveguide and Junction Waveguide-Horn” (a Survey), ibid., pp. 704–705.
[88] ”Green’s Function of the Equation of Internal Waves in a Stratified Fluid Layer with Mean Shear Flows,” Morsk. Gidrofiz. Zh., no. 1, 24–32 (1987); E. S. Levchenko, co-author.
[89] ”Computation by the Perturbation Method of the Maximal Group Velocities of Internal Waves in a Stratified Medium with Mean Shear Flows,” in Abstracts of Reports. III All-Union Congress of Oceanologists, Section ”Ocean Physics and Chemistry” (Leningrad, 1987), pp. 36–37; E. S. Levchenko, co-author.
[90] ”Computation by the Perturbation Method of the Maximal Group Velocities of Internal Waves in a Stratified Medium with Mean Shear Flows,” Zh. Prikl. Mekh. Tekhn. Fiz., no. 6, 93–97 (1987); E. S. Levchenko, co-author.
[91] ”Propagation of Interior Gravity Waves in a Stratified Medium with Mean Shear Flows,” in Methods for Hydrophysical Studies, Waves, and Vortices (Institute of Applied Physics, Academy of Sciences of the USSR, Gorkii), pp. 91–110; E. S. Levchenko, co-author.
[92] ”On the Invalidity of ’Universal and Sufficient’ Heuristic Criteria for Estimating the Limits of Applicability of Geometric Optics and Geometric Diffraction Theory,” Radiofizika 30, 1226–1237 (1987); B. E. Kinber, co-author.
[93] ”Asymptotics of Internal Wave Fields Excited by Localized Perturbations in a Stratified Fluid with Mean Shear Flows,” Institute for Problems in Mechanics, Russian Academy of Sciences, Preprint no. 308 (1988); E. S. Levchenko, co-author.
[94] ”Onset of a Critical Layer in a Stratified Medium with Mean Shear Flows,” Institute for Problems in Mechanics, Russian Academy of Sciences, Preprint no. 309 (1988).
[95] ”On the Intermediate Asymptotics of the Far Field of Internal Waves in a Stratified Fluid Layer Lying on a Homogeneous Layer,” Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza, no. 3, 158–162 (1988); V. V. Bulatov and M. Ya. Kel’bert, co-authors.
[96] ”The Field of a Point Source of Internal Waves in a Half-Space with Variable Brunt-Vaisala Frequency,” Prikl. Mat. Mekh. 52(4), 688–692 (1988).
[97] ”Heuristic Methods in Diffraction,” in IX All-Union School on Diffraction and Wave Propagation, (Kazan’ Institute of Radiotechnics, Kazan’, 1988); B. E. Kinber, A. S. Kryukovskii, and P. Ya. Ufimtsev, co-authors.
[98] ”Gravity Waves in Fluids,” ibid.; I. A. Molotkov, co-author.
[99] ”Asymptotics of Green’s Function of the Equation of Internal Waves,” in Stratified Flow Problems (Salaspils, 1988), pp. 30–33.
[100] ”Adaptation of Initial Conditions for Internal Waves in a Weakly Compressible Fluid,” Zh. Prikl. Mekh. Tekhn. Fiz., no. 5, 89–94 (1988); M. Ya. Kel’bert, co-author.
[101] ”The Stationary Phase Method for a Saddle Point near the Boundary of the Domain of Integration,” Mat. Zametki 45(2), 3–14 (1989).
[102] ”Calculating the Field of Internal Gravity Waves Generated by a Fixed Source in a Stratified Fluid Flow,” Zh. Prikl. Mekh. Tekhn. Fiz., no. 4, 58–61 (1989); V. V. Bulatov, Yu. V. Vladimirov, and E. S. Levchenko, co-authors.
[103] ”Diffraction of a Field with a Caustic by a Wedge in a Nonuniform Medium,” Radiotekhn. i Elektron. 23(2), 264–273 (1989).
[104] ”The Region of Formation of the Field and Fresnel Volumes,” Radiotekhn. i Elektron. 23(2), 273–282 (1989).
[105] ”The Limits of Geometrical Optics Validity and the Domain of Field Formation,” in Proc. of the 1989 International Symposium on Electromagnetic Theory (Stockholm, 1989), pp. 366–368.
[106] ”Critical Layer Formation in a Stratified Medium with Mean Shear Flows,” Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza, no. 3, 82–93 (1990).
[107] ”Dissipative Phenomena in the Problem on the Onset of a Critical Layer,” in Waves and Diffraction’90, vol. 2 (Physical Society of the USSR, 1990), pp. 254–257.
[108] ”The Field of Internal Waves Excited by a Source in a Stratified Fluid Layer with Mean Shear Flows,” ibid., pp. 258–261; E. S. Levchenko, co-author.
[109] ”Asymptotics as t of the Green Function for the Equation of Internal Waves,” Dokl. Akad. Nauk SSSR 313(2), 313–316 (1990).
[110] ”Design of a Parabolic Reflector with a Variable-Transmittance Edge,” Radiotekhn. i Elektron. 35(12), 2526–2529 (1990); K. A. Ambartsumova, co-author.
[111] ”Analysis of the near Field of Interior Gravity Waves,” in Stratified Fluid Problems (1990); V. V. Bulatov and Yu. V. Vladimirov, co-authors.
[112] ”The Sturm-Liouville Problem with Nonregular Asymptotics of the Eigenvalues,” Mat. Zametki 50(6), 43–51 (1991). · Zbl 0742.34025
[113] ”Diffraction by Cone with Arbitrary Cross-Section,” in Proceedings of International Conference on Ultra-Short and Wide-Band Processing and Scattering (New York, 1992).
[114] ”Diffraction by a Wedge-Like Inclusion and by a Cone of Arbitrary Cross-Section,” in Proceedings of the X All-Union School-Seminar on Diffraction and Wave Propagation (1993), pp. 66–96; B. V. Budaev, co-author.
[115] ”Processing and Analysis of Internal Wave Measurements in the Western Sahara Shelf Zone,” Okeanologiya 33(4), 532–535 (1993); V. V. Bulatov, Yu. V. Vladimirov, I. L. Isaev, Yu. P. Lomanov, and V. A. Frost, co-authors.
[116] Geometrical Theory of Diffraction, IEE Electromagnetic Waves Series 37 (London, 1994); B. E. Kinber, co-author.
[117] Uniform Stationary Phase Method, IEE Electromagnetic Waves Series 40 (London, 1994).
[118] ”Internal Gravity Waves Excited by a Body Moving in a Stratified Fluid,” Fluid Dynam. Res. 15, 325–336 (1995); V. V. Bulatov and Yu. V. Vladimirov, co-authors. · Zbl 1051.76630
[119] ”Asymptotics of Integrals of Functions with a Large Parameter in the Argument,” Phystech Journal 2(2), 40–47 (1996).
[120] ”On the Far-Field Asymptotics of an Internal Wave Source Moving in an Exponentially Stratified Medium,” Prikl. Mat. Mekh. 60(3), 521–525 (1996). · Zbl 0923.76285
[121] ”On the Asymptotics of the Green Function for the Equation of Internal Waves as t ,” Prikl. Mekh. Tekhn. Fiz., 37(4), 173–182 (1996).
[122] ”On the Large-Time Asymptotics of Green’s Function for Internal Gravity Waves,” Wave Motion 26, 275–289 (1997). · Zbl 0930.76009
[123] ”Singularities of the Green Function for Non-Strictly Hyperbolic Equations,” in Day on Diffraction’97, International Seminar; Abstracts, p. 13.
[124] ”The Far Field of the Moving and Oscillating Source: the Resonance Case,” Wave Motion 26, 291–305 (1997). · Zbl 0930.76078
[125] ”The Far Field of a Moving Oscillating Source in the Case of Resonance,” Prikl. Mat. Mekh. 62(2), 243–256 (1998). · Zbl 1050.76521
[126] ”Nonspectral and Spectral Study of Tidal Internal Waves in the Ocean (for the Example of the ’Mezopoligon’ Experiment),” Okeanologiya 38(3) 343–348 (1998); V. V. Bulatov, E. G. Morozov, and R. G. Tamayo, co-authors.
[127] ”Internal Gravity Waves Excited by a Body Moving in a Stratified Fluid,” Twenty-Second Symposium on Naval Hydrodynamics, Aug. 9–14, 1998, Preprints (Washington), pp. 92–99; V. Bulatov, M. Gil’man, and Yu. Vladimirov, co-authors.
[128] ”Diffraction by an Impedance Wedge with Curved Faces,” Radiotekhn. i Elektron. 43(12), 1433–1442 (1998).
[129] ”Singularities of the Green Function for Non-Strictly Hyperbolic Equations,” Bolletino di Geofisica, Teorica ed Applicata 40, 144 (1999).
[130] ”Diffraction by Impedance Wedge with Curved Sides,” Bolletino di Geofisica, Teorica ed Applicata 40, 145 (1999).
[131] ”Scatter of Toroidal Elastic Waves from a Plane,” in Review of Progress in Quantitative Nondestructive Evaluation, Montreal, Canada, 25–30 July 1999, vol. 19A, pp. 82–89; L. Yu. Fradkin, co-author.
[132] ”Singularities of the Green Function for Nonstrictly Hyperbolic Operators,” Aportaciones Mat. Comun. 25, 141–146 (1999). · Zbl 0973.35124
[133] ”Singularities of the Green Function for Nonstrictly Hyperbolic Operators,” Dokl. Akad. Nauk 369(5), 586–588 (1999). · Zbl 1047.35084
[134] ”Singularities of the Green Function for Nonstrictly Hyperbolic Operators,” in IUTAM 2000, Abstracts (Manchester), pp. 71–73.
[135] ”Kiss Singularities of Green’s Function for Nonstrictly Hyperbolic Equations,” ibid.; D. Gridin, coauthor.
[136] ”Diffraction Coefficients for Tilted Surface-Breaking Cracks,” ibid.; V. M. Babich, L. Yu. Fradkin, D. Gridin, V. Kamotski, and V. P. Smishlyaev, co-authors.
[137] ”Wave Propagation: Geometric Optics and Its Generalizations,” Aportaciones Mat. Comun. 27, 153–179 (2000). · Zbl 1121.78300
[138] ”Acerca de la asintotica para tiempos grandes de la funcion de Green de la ecuacion de ondas internas graviticas,” in XXXIII Congreso Nacional de Sociedad Matematica Mexicana (Abstracts), p. 215.
[139] ”Kiss Singularities of Green’s Function for Nonstrictly Hyperbolic Equations,” ibid., p. 218; D. Gridin, co-author.
[140] ”The Stationary Phase Method for Surfaces with Conical Points,” Russ. J. Math. Phys. 7(2), 147–165 (2000). · Zbl 1065.58020
[141] ”Singularities of the Green Function for Nonstrictly Hyperbolic Operators,” Russ. J. Math. Phys. 7(3), 261–278 (2000). · Zbl 1087.35502
[142] ”Kiss Singularities of Green’s Function of Nonstrictly Hyperbolic Equations,” Proc. R. Soc. Lond. Ser. A 457, 1059–1077 (2001); D. Gridin, co-author. · Zbl 0993.35006
[143] ”On the Large-Time Asymptotics of Green’s Function for Internal Gravity Waves” Wave Motion 26, 275–289 (1997). · Zbl 0930.76009
[144] ”Mathematical Modeling of the Interaction between a Normal Circular Compressional Transducer and a Plane Crack with a Smooth Convex Boundary,” in Program of the ICTCA’2001 5th Intrernational Conference of Theoretical and Computational Acoustic (Abstracts), p. 210; L. Yu. Fradkin, co-author.
[145] ”Mathematical Modeling of the Interaction between a Normal Circular Compressional Transducer and a Plane Crack With a Smooth Convex Boundary,” in Day on Diffraction’2001, International Seminar; Abstracts, p. 22; L. Yu. Fradkin, co-author.
[146] ”Numerical Ranges, Poncelet Curves, Invariant Measures,” Linear Algebra Appl. 329, 61–75 (2001); B. Mirman, L. Ladyzhensky, and R. Vinograd, co-authors. · Zbl 1029.51025
[147] ”Diffraction by a Polyhedral Angle: Field in Vicinity of Singular Ray,” in Proceedings of the XII All-Union School-Conference on Diffraction and Wave Propagation, vol. 1, pp. 20–29.
[148] ”Diffraction by Polyhedral Angle – Field in Vicinity of Singular Ray,” in Day on Diffraction’2002, International Seminar; Abstracts, p. 17.
[149] ”Scattering of an Elastic Wave by a Rough Crack Edge,” ibid., p. 79; L. Yu. Fradkin, co-author.
[150] ”The Problem of the Pointwise Fourier Inversion for Piecewise Smooth Functions of Several Variables,” J. Fourier Anal. Appl. 8(4), 399–406 (2002); F. J. Mendoza, co-author. · Zbl 1015.42006
[151] ”Singularities of the Green Function for Nonstrictly Hyperbolic Nonhomogeneous Operators,” Russ. J. Math. Phys. 9(2), 140–152 (2002). · Zbl 1104.35300
[152] ”Solution of the Fourier Pointwise Inversion Problem for Piecewise Smooth Functions Using Asymptotic Methods,” Aportaciones Mat. Comun. 30, 3–17 (2002); F. J. Mendoza, co-author. · Zbl 1133.42013
[153] ”Diffraction by a Polyhedral Angle: the Field in a Neighborhood of a Singular Ray,” Radiotekhn. i Elektron. 49(1), 32–40 (2004).
[154] ”Pattern Recognition Challenges in Non-Destructive Testing,” in Proc. of Tenth International Congress on Sound and Vibration, 7–10 July 2003, Stockholm; L. Fradkin and L. Botvina, co-authors.
[155] ”The Far-Zone Asymptotics of Sound Field Excited by a Flexural Wave of Thin Plate with a Round Inclusion,” in Proceedings of International Seminar ”Day on Diffraction’2004” (St. Peterburg); A. L. Popov, co-author.
[156] ”Ultrasonic Modeling of Tilted Surface-Breaking Cracks,” J. NDT & E Int. (2004); V. M. Babich, L. Ju. Fradkin, V. Kamotski, and B. A. Samokish, co-authors.
[157] ”Bending Wave Diffraction by a Circular Inclusion in an Infinite Plate,” in Proceedings of the III All-Russia Conference on Elasticity Theory with International Participation, October 13–16, 2003 (Novaya Kniga, Rostov-on-Don, 2004); A. Popov and A. Timofeev, co-authors.
[158] ”Scattering of a Plane Bending Wave in a Thin Plate by a Sectorial Notch with Supported Edge,” Prikl. Mat. Mekh. (accepted for publication).
[159] ”On Budaev and Bogy’s Approach to Diffraction by a 2D Traction-Free Elastic Wedge,” SIAM J. Math. Phys (accepted for publication); V. Kamotski, B. A. Samokish, L.Yu. Fradkin, and V. M. Babich, co-authors.
[160] ”Nonstationary Problem of Thin Elastic Plate Oscillations,” in Proceedings of the International Seminar ”Day on Diffraction’2006” (St.-Petersburg).
[161] ”Scattering of a Flexural Plane Wave by the Thin Elastic Quarter Plane,” ibid.
[162] ”Acoustic Field Excited by Bending Vibrations of an Elastic Plate with a Circular Inclusion,” Akust. Zh., no. 6, 660–674 (2007); A. L. Popov and D. A. Chelyubeev, co-authors.
[163] ”The Diffraction of a Plane Wave by a 2D Traction Free Isotropic Wedge,” in Mathematical Modelling of Wave Phenomena, AIP Conference Proceedings, ed. by B. Nilsson and L. Fishman (2006), pp. 176–184; V. Kamotski, L. Fradkin, V. M. Babich, and B. A. Samokish, co-authors.
[164] ”Scattering of a Plane Flexural Wave by a Sector of a Thin Elastic Plate with a Supported Edge,” Prikl. Mat. Mekh. 71(3), 496–499 (2007). · Zbl 1164.74469
[165] ”Scatter of a Plane Elastic Wave by a Rough Crack Edge,” Russ. J. Math. Phys 16(2), 166–187 (2009); L. Fradkin, co-author. · Zbl 1239.74084
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