Vasilii Mikhailovich Babich (on his 70th birthday)

V. S. Buldyrev   ; A. M. Vershik   ; I. A. Ibragimov   ; A. M. Il'in   ; A. P. Kiselev   ; L. D. Faddeev

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 3, pp. 627-635

Bibliographie

[1] “K voprosu ob asimptotike “kvazisobstvennykh” chisel vneshnikh zadach dlya operatora Laplasa”, Probl. matem. fiziki, 2, Izd-vo LGU, L., 1967, 7–14

[2] “Nekotorye matematicheskie metody, primenyaemye v teorii difraktsii”, 1-aya Vsesoyuznaya shkola-seminar po difraktsii i rasprostraneniyu voln, Teksty lektsii, Moskva–Kharkov, 1968, 3–92 (with V. S. Buldyrevym i I. A. Molotkovym)

[3] “Sobstvennye funktsii, sosredotochennye v okrestnosti zamknutoi geodezicheskoi”, Zap. nauchn. semin. LOMI, 9, 1968, 15–63 | MR | Zbl

[4] “O raschete voln Lyava s ispolzovaniem formul metoda VKB”, Vychisl. seismologiya, 1968, no. 4, 207–225 (with N. A. Fominoi i G. N. Babich)

[5] “O rasprostranenii voln Lyava vdol poverkhnosti uprugogo neodnorodnogo tela proizvolnoi formy”, Problemy matem. analiza, 1969, no. 2, 134–139 (with N. Ya. Kirpichnikovoi)

[6] “O sobstvennykh kolebaniyakh mnogosloinogo rezonatora”, Zap. nauchn. semin. LOMI, 15, 1969, 9–46 | MR | Zbl

[7] “O sobstvennykh kolebaniyakh mnogosloinogo rezonatora”, Optika i spektrokopiya, 27:5 (1969), 804–808

[8] “Postroenie asimptotiki resheniya uravneniya Shrëdingera, sosredotochennogo v okrestnosti klassicheskoi traektorii”, Zap. nauchn. semin. LOMI, 15, 1969, 47–65 (with Yu. P. Danilovym)

[9] “Nakhozhdenie sedlovoi tochki v sluchae zadachi ob ellipse”, Zap. nauchn. semin. LOMI, 17, 1970, 20–24 | MR

[10] “Ob asimptotike funktsii Grina nekotorykh volnovykh zadach”, Dokl. AN SSSR, 199:4 (1971), 743–746 | Zbl

[11] “Ob asimptotike funktsii Grina nekotorykh volnovykh zadach. I. Statsionarnyi sluchai”, Matem. sb., 86(128):4 (1971), 518–537 | MR | Zbl

[12] “Ob asimptotike funktsii Grina nekotorykh volnovykh zadach. II. Nestatsionarnyi sluchai”, Matem. sb., 87:1 (1972), 44–57 | MR | Zbl

[13] Asimptoticheskie metody v zadachakh difraktsii korotkikh voln (metod etalonnykh zadach), Nauka, M., 1972 (with V. S. Buldyrevym) | MR

[14] “O strogom opravdanii korotkovolnovogo priblizheniya v trekhmernom sluchae”, Zap. nauchn. semin. LOMI, 34, 1973, 23–51 | MR

[15] “O razryvakh funktsii Grina smeshannoi zadachi dlya volnovogo uravneniya s peremennym koeffitsientom”, Problemy matem. fiziki, 6 (1973), 9–27 (with T. F. Pankratovoi)

[16] “The non-spectral singularities of the Green's function for the Helmholtz equation and the asymptotics of the solution of nonstationary problems with $t\to\infty$”, Rev. Roumaine Math. Pures Appl., 19 (1974), 141–142 (with N. S. Grigorieva) | MR | Zbl

[17] “Difraktsiya korotkikh voln na szhatom sferoide”, Zap. nauchn. semin. LOMI, 42, 1974, 12–58 (with N. S. Grigorevoi) | MR

[18] “Nespektralnye osobennosti funktsii Grina uravneniya Gelmgoltsa i asimptotika nestatsionarnykh zadach pri $t\to\infty$”, UMN, 29:6 (1974), 193–194 (with N. S. Grigorevoi) | MR

[19] “Asimptotika pri malykh vremenakh fundamentalnogo resheniya zadachi Koshi dlya parabolicheskogo uravneniya vtorogo poryadka”, Problemy matem. fiziki, 7, Izd-vo LGU, L., 1974, 21–38 (with Yu. O. Rapoportom)

[20] “Ob analiticheskom prodolzhenii rezolventy vneshnikh trekhmernykh zadach dlya operatora Laplasa na vtoroi list”, Funkts. analiz i ego pril., 8:1 (1974), 71–72 (with N. S. Grigorevoi) | MR

[21] Metod pogranichnogo sloya v zadachakh difraktsii, Izd-vo LGU, L., 1974 (with N. Ya. Kirpichnikovoi)

[22] “Vysokochastotnyi tochechnyi istochnik kolebanii vblizi vognutogo zerkala”, Zap. nauchn. semin. LOMI, 51, 1975, 5–19 | Zbl

[23] “Asimptoticheskie svoistva reshenii nekotorykh trekhmernykh volnovykh zadach”, Zap. nauchn. semin. LOMI, 51, 1975, 20–77 (with N. S. Grigorevoi) | MR

[24] “Rasprostranenie voln Lyava i Releya v slaboneodnorodnoi sloistoi srede”, Vestnik LGU. Ser. matem., mekh. i astron., 1975, no. 1(1), 32–38 (with B. A. Chikhachevym)

[25] “Tochechnyi istochnik kolebanii na granitse oblasti”, Zap. nauchn. semin. LOMI, 62, 1976, 3–20 | MR | Zbl

[26] “Nespektralnye osobennosti funktsii Grina uravneniya Gelmgoltsa v sluchae vneshnosti proizvolnogo vypuklogo mnogougolnika”, Zap. nauchn. semin. LOMI, 62, 1976, 21–25 (with N. S. Grigorevoi)

[27] “Zadacha o fokusirovke i asimptotika spektralnoi funktsii operatora Laplasa–Beltrami”, Dokl. AN SSSR, 230:5 (1976), 1017–1020 (with B. M. Levitanom) | MR

[28] “Poverkhnostnye volny v vertikalno-neodnorodnom uprugom poluprostranstve so slaboi gorizontalnoi neodnorodnostyu”, Izv. AN SSSR. Fizika Zemli, 1976, no. 4, 24–31 (with B. A. Chikhachevym i T. B. Yanovskoi)

[29] “Iskusstvo asimptotiki”, Vestnik LGU. Ser. matem., mekh. i astron., 1977, no. 3(13), 5–21 (with V. S. Buldyrevym)

[30] “Matematicheskie metody v teorii uprugikh voln”, Itogi nauki i tekhniki. Ser. mekhanika deformiruemogo tverdogo tela, 10, VINITI, M., 1977, 5–62 (with I. A. Molotkovym)

[31] “O prostranstvenno-vremennom luchevom metode v teorii uprugikh voln”, Izv. AN SSSR. Fizika Zemli, 1979, no. 3, 3–13

[32] “O volnovodnykh svoistvakh podvodnogo gornogo khrebta”, Izv. AN SSSR. Mekhanika zhidkosti i gaza, 1979, no. 3, 152–155 (with I. Ya. Bilym)

[33] “Tochechnyi istochnik kolebanii vblizi vognutogo zerkala. II”, Zap. nauchn. semin. LOMI, 89, 1979, 3–13 | MR

[34] “O kolebanii bazilyarnoi membrany vo vnutrennem ukhe mlekopitayuschikh”, Zap. nauchn. semin. LOMI, 89, 1979, 54–62 (with S. M. Novoselovoi) | MR

[35] The Boundary-Layer Method in Diffraction Problems, Springer-Verlag, Berlin, 1979 (with N. Ya. Kirpic̆nikova) | MR | Zbl

[36] “Prostranstvenno-vremennoi metod rascheta voln v slabo neodnorodnoi sloistoi srede”, Zap. nauchn. semin. LOMI, 99, 1980, 5–18 (with N. S. Grigorevoi) | MR

[37] “Metod Adamara i asimptotika spektralnoi funktsii differentsialnogo operatora vtorogo poryadka”, Matem. zametki, 28:5 (1980), 689–694 | MR | Zbl

[38] “Kompleksnyi prostranstvenno-vremennoi luchevoi metod i “kvazifotony””, Zap. nauchn. semin. LOMI, 117, 1981, 5–12 (with V. V. Ulinym) | MR

[39] “Luchevye resheniya s kompleksnym eikonalom, sosredotochennye v okrestnosti geodezicheskoi”, UMN, 36:4 (1981), 198 (with V. E. Nomofilovym)

[40] “Kompleksnye luchevye resheniya i sobstvennye funktsii, sosredotochennye v okrestnosti zamknutoi geodezicheskoi”, Zap. nauchn. semin. LOMI, 104, 1981, 6–13 (with V. V. Ulinym)

[41] “Asimptotika po bolshomu parametru resheniya uravneniya Foka–Kleina–Gordona v sluchae razryvnogo nachalnogo usloviya”, Zap. nauchn. semin. LOMI, 115, 1982, 16–22 | MR | Zbl

[42] Ortogonalnye razlozheniya i metod Fure, Izd-vo LGU, L., 1983 (with N. S. Grigorevoi)

[43] “Skin-effekt v sluchae provoda proizvolnogo poperechnogo secheniya”, Zap. nauchn. semin. LOMI, 128, 1983, 13–20 | MR | Zbl

[44] “Dinamicheskie zadachi geoakustiki”, Akust. zhurn., 30:5 (1984), 693–695 (with L. A. Molotkovym i P. V. Krauklisom)

[45] “O zadache rasseyaniya dlya uravneniya Shrëdingera v sluchae lineinogo po vremeni i koordinate potentsiala. I. Asimptotika v zone teni”, Zap. nauchn. semin. LOMI, 140, 1984, 6–17 (with V. P. Smyshlyaevym)

[46] Prostranstvenno-vremennoi luchevoi metod (lineinye i nelineinye volny), Izd-vo LGU, L., 1984 (with V. S. Buldyrevym i I. A. Molotkovym)

[47] “O zadache rasseyaniya dlya uravneniya Shrëdingera v sluchae lineinogo po vremeni i koordinate potentsiala. II. Korrektnost, gladkost, povedenie resheniya na beskonechnosti”, Zap. nauchn. semin. LOMI, 148, 1985, 13–29 (with V. P. Smyshlyaevym) | MR

[48] “O zadache rasseyaniya dlya uravneniya Shrëdingera v sluchae lineinogo po vremeni i koordinate potentsiala”, Dokl. AN SSSR, 280:6 (1985), 1330–1333 (with V. P. Smyshlyaevym) | MR

[49] “O primenenii metoda dvukhmasshtabnykh razlozhenii k odnochastotnoi zadache teorii nelineinykh kolebanii”, PMM, 49:3 (1985), 377–383 (with V. D. Azhotkinym) | MR

[50] “O rasprostranenii voln Lyava vdol poverkhnosti uprugogo tela proizvolnoi formy”, Izv. AN SSSR. Fizika Zemli, 1985, no. 5, 17–27 (with Z. A. Yanson)

[51] “Dlinnovolnovaya asimptotika v zadachakh rasseyaniya uprugikh voln”, Zap. nauchn. semin. LOMI, 156, 1986, 6–19 (with M. I. Ivanovym)

[52] “Asimptoticheskoe reshenie zadachi o tochechnom istochnike diffuzii”, Dokl. AN SSSR, 289:4 (1986), 836–839 | MR | Zbl

[53] “K voprosu o volnakh Releya, rasprostranyayuschikhsya vdol poverkhnosti neodnorodnogo uprugogo tela”, Zap. nauchn. semin. LOMI, 156, 1986, 20–23 (with N. Ya. Kirpichnikovoi)

[54] “O rasprostranenii voln Lyava vdol poverkhnosti anizotropnogo tela proizvolnoi formy”, Zap. nauchn. semin. LOMI, 165, 1987, 9–14 (with V. D. Azhotkinym)

[55] “Prilozhenie finslerovoi geometrii k geometricheskoi optike neodnorodnykh anizotropnykh sred”, Vestnik LGU. Ser. matem., mekh. i astron., 1987, no. 3 (15), 19–23

[56] “Geometroseismicheskoe opisanie “neluchevoi” volny $S^*$”, Izv. AN SSSR. Fizika Zemli, 1988, no. 10, 67–71 (with A. P. Kiselevym)

[57] “O prokhozhdenii volny cherez tonkii sloi”, Zap. nauchn. semin. LOMI, 173, 1988, 20–29 | Zbl

[58] “O teoreme suschestvovaniya resheniya zadach Dirikhle i Neimana dlya uravnenii Gelmgoltsa v kvaziperiodicheskom sluchae”, Sib. matem. zhurn., 29:2 (1988), 3–9 | MR

[59] “Rasseyanie dlinnykh elektromagnitnykh voln i integralnye kharakteristiki rasseivatelei”, Radiotekhnika i elektronika, 33:5 (1988), 909–914 | MR

[60] Integralnye kharakteristiki v zadachakh teorii uprugosti, Preprint LOMI R-6-89, LOMI, L., 1989 (with I. S. Zorinym, M. I. Ivanovym, A. V. Movchanom, S. A. Nazarovym)

[61] “Metod summirovaniya gaussovykh puchkov”, Izv. vuzov. Radiofizika, 32:12 (1989), 1447–1466 (with M. M. Popovym) | MR

[62] “Ob asimptoticheskom reshenii zadachi o dvizhuschikhsya istochnikakh diffuzii i kolebanii”, Zap. nauchn. semin. LOMI, 179, 1989, 6–13 | Zbl

[63] “Non-geometrical waves – are there any? An asymptotic description of some “non-geometrical” phenomena in seismic wave propagation”, Geophys. J. Int., 99:2 (1989), 415–420 (with A. P. Kiselev) | DOI | Zbl

[64] “Primenenie kompleksnykh luchei k raschetu “negeometricheskikh” voln v skalyarnom sluchae”, Zap. nauchn. semin. LOMI, 186, 1990, 20–32

[65] “Anzats Adamara, ego analogi, obobscheniya i prilozheniya”, Algebra i analiz, 3:5 (1991), 1–37 | MR | Zbl

[66] “Otsutstvie osobennostei na gaussovom puchke v sluchae uravneniya diffuzii”, Zap. nauchn. semin. LOMI, 195, 1991, 14–18

[67] Short–Wavelength Diffusion Theory. Asymptotic Methods, Springer-Verlag, Berlin, 1991 (with V. S. Buldyrev) | Zbl

[68] “Sluchai tochnoi integriruemosti uravneniya dlya voln SH”, Zap. nauchn. semin. POMI, 203, 1992, 12–16

[69] “Raschet “neluchevoi” volny SH s pomoschyu kompleksnykh luchei”, Zap. nauchn. semin. POMI, 200, 1992, 17–26

[70] “Pervoaprelskaya zametka. Ne slishkom shiroko izvestnye svedeniya ob uravnenii Besselya”, Algebra i analiz, 4:2 (1992), 235–237 | MR

[71] “Giperbolicheskoe uravnenie s bolshim parametrom pri mladshikh chlenakh i ierarkhiya voln”, Algebra i analiz, 6:4 (1994), 126–171 (with A. A. Klimovoi) | MR | Zbl

[72] “Difraktsiya ploskoi volny na uzkom konuse v sluchae kraevogo usiliya Dirikhle”, Zap. nauchn. semin. POMI, 218, 1994, 3–11

[73] “Sobstvennye kolebaniya mekhanicheskikh sistem i spektralnaya teoriya samosopryazhennykh operatorov”, Zap. nauchn. semin. POMI, 218, 1994, 12–16 | Zbl

[74] “Ray method of calculation of intensity of wave front in the case of a heterogeneous, anisotropic, elastic medium”, Geophys. J. Int., 118:2 (1994), 379–383 | DOI

[75] “Difraktsiya ploskoi volny na uzkom konuse”, Zap. nauchn. semin. POMI, 221, 1995, 67–74 (with B. A. Samokishem i D. B. Dementevym)

[76] “O tochechnom istochnike garmonicheskikh kolebanii v odnorodnoi anizotropnoi uprugoi srede”, Zap. nauchn. semin. POMI, 230, 1995, 14–20

[77] “On the diffraction of high-frequency waves by a cone of arbitrary shape”, Wave Motion, 21:3 (1995), 203–207 (with D. B. Dement'ev and B. A. Samokish) | DOI | MR | Zbl

[78] “O difraktsii vysokochastotnoi akusticheskoi volny na uzkom absolyutno zhestkom konuse”, PMM, 59:1 (1995), 148–154

[79] “Numerical calculation of the diffraction coefficients for an arbitrary shaped perfectly conducting cone”, IEEE Trans. Antennas and Propagation, 44:5 (1996), 740–747 (with D. B. Dement'ev, B. A. Samokish and V. P. Smyshlyaev) | DOI

[80] “On Fock's type asymptotics of Legendre functions”, Integral Transform. Spec. Funct., 5:1–2 (1997), 1–18 (with K. D. Cherednichenko) | MR | Zbl

[81] “O rasprostranenii voln vdol slabo neodnorodnogo v gorizontalnom napravlenii i slabo izognutogo anizotropnogo uprugogo sloya”, Zap. nauchn. semin. POMI, 239, 1997, 12–32 | Zbl

[82] “Propagation of waves in a piezoelectic layer with a weak horizontal nonhomogeneity”, Wave Motion, 26:4 (1997), 379–397 (with V. V. Lukyanov) | DOI | Zbl

[83] “O rasseyanii voln rasshiryayuscheisya poverkhnostyu”, Zap. nauchn. semin. POMI, 250, 1998, 35–48 (with M. A. Lyalinovym)

[84] “Wave propagation along a curved piezoelectric layer”, Wave Motion, 28:1 (1998), 1–11 (with V. V. Lukyanov) | DOI | MR | Zbl

[85] O reshenii v obobschennykh funktsiyakh zadach matematicheskoi fiziki, Uchebnoe posobie, Izd-vo SPbGU, L., 1998 (with O. V. Izotovoi)

[86] “O raschete diagrammy napravlennosti volny, rasseyannoi vershinoi proizvolnogo konusa”, Zap. nauchn. semin. POMI, 257, 1999, 7–15 (with V. V. Kamotskim)

[87] “On evaluation of the diffraction coefficients for arbitrary “non-singular” directions of a smooth convex cone”, SIAM J. Appl. Math., 60:2 (2000), 536–573 (with D. B. Dement'ev, B. A. Samokish and V. P. Smyshlyaev) | DOI | MR | Zbl

[88] “O rasseyanii vysokochastotnoi volny vershinoi proizvolnogo konusa. (Singulyarnye napravleniya)”, Zap. nauchn. semin. POMI, 264, 2000, 7–21 (with D. B. Dementevym, B. A. Samokishem i V. P. Smyshlyaevym)

[89] “O volnovom pole vblizi tochki padeniya predelnogo lucha”, Zap. nauchn. semin. POMI, 264, 2000, 22–32 (with V. V. Kamotskim)

[90] “O printsipe vzaimnosti pri rasseyanii ploskikh elektromagnitnykh voln na kanonicheskom rasseivatele”, Zap. nauchn. semin. POMI, 275, 2001, 17–24 | MR | Zbl

[91] “On a differential equation with a singular point of regular type and a large parameter”, Integral Transforms and Special Functions, 11:2 (2001), 101–112 (with K. D. Cherednichenko) | DOI | MR | Zbl

[92] “Low-frequency scattering of acoustic waves by a bounded rough surface in a half-plane”, J. Acoust. Soc. Amer., 109:3 (2001), 878–885 (with F. J. Sabina) | DOI

[93] “A ray description of all wavefields generated by a high-frequency point source near an interface”, SIAM J. Appl. Math., 62:1 (2001), 21–40 (with A. P. Kiselev, J. M. H. Lawry and A. S. Starkov) | DOI | MR | Zbl