Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2007_8_a3, author = {E. K. Lipachev}, title = {Integral equations in the wave scattering problem at an irregular interface of domains}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {35--47}, publisher = {mathdoc}, number = {8}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2007_8_a3/} }
TY - JOUR AU - E. K. Lipachev TI - Integral equations in the wave scattering problem at an irregular interface of domains JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2007 SP - 35 EP - 47 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2007_8_a3/ LA - ru ID - IVM_2007_8_a3 ER -
E. K. Lipachev. Integral equations in the wave scattering problem at an irregular interface of domains. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2007), pp. 35-47. http://geodesic.mathdoc.fr/item/IVM_2007_8_a3/
[1] Lipachev E. K., “O kraevykh zadachakh dlya uravneniya Gelmgoltsa v oblastyakh s “nerovnoi” granitsei”, Tr. Matem. tsentra im. N. I. Lobachevskogo, 17, Kazansk. matem. ob-vo, Kazan, 2002, 79–89 | MR
[2] Lipachev E. K., “On boundary integral equation method in scattering problem for unbounded domains”, SIAM Proc. in Appl. Math., 102 (2000), 509–512 | MR
[3] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1976, 528 pp. | Zbl
[4] Mazya V. G., “Granichnye integralnye uravneniya”, Itogi nauki i tekhniki. Sovr. problemy matem. Fundam. napr., 27, VINITI, M., 1988, 131–228 | MR
[5] Galishnikova T. N., Ilinskii A. S., Chislennye metody v zadachakh difraktsii, Izd-vo MGU, M., 1987, 208 pp. | MR | Zbl
[6] Fedorov N. N., Osnovy elektrodinamiki, Vyssh. shkola, M., 1980, 399 pp.
[7] R. Petit (ed.), Electromagnetic Theory of Gratings, Berlin–Heidelberg–New York, 1980, 284 pp. | MR | Zbl
[8] Kress R., Roach G. F., “Transmission problems for the Helmholtz equation”, J. Math. Phys., 19 (1978), 1433–1437 | DOI | MR | Zbl
[9] Ramm A. G., “Scattering by a penetrable body”, Journal Math. Phys., 25:3 (1984), 469–471 | DOI | MR | Zbl
[10] Kleinman R. E., Martin P. A., “On single integral equations for the transmission problem of acoustics”, SIAM J. Appl. Math., 48 (1988), 307–325 | DOI | MR | Zbl
[11] Pleschinskii N. B., “Metod preobrazovaniya Fure v zadachakh sopryazheniya elektromagnitnykh polei”, Tr. Matem. tsentra im. N. I. Lobachevskogo, 6, Kazansk. matem. ob–vo, Kazan, 2000, 153–185
[12] Ilinskii A. S., Shestopalov Yu. V., Primenenie metodov spektralnoi teorii v zadachakh rasprostraneniya voln, Izd-vo MGU, M., 1989, 184 pp.
[13] Lipachev E. K., “K priblizhennomu resheniyu kraevoi zadachi difraktsii voln na oblastyakh s beskonechnoi granitsei”, Izv. vuzov. Matematika, 2001, no. 4, 69–72 | MR | Zbl
[14] Shestopalov Yu. V., “Primenenie metoda obobschennykh potentsialov dlya resheniya nekotorykh zadach teorii difraktsii i rasprostraneniya voln”, Zhurn. vychisl. matem. i matem. fiz., 30:7 (1990), 1081–1092 | MR
[15] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987, 311 pp. | MR
[16] Gabdulkhaev B. G., Optimalnye approksimatsii reshenii lineinykh zadach, Izd-vo Kazansk. un-ta, Kazan, 1980, 232 pp. | MR