Geodesic
Neumann's problem for the Helmholtz equation outside cuts in the plane
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 11, pp. 1652-1665 Cet article a éte moissonné depuis la source Math-Net.Ru

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P. A. Krutitskii. Neumann's problem for the Helmholtz equation outside cuts in the plane. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 11, pp. 1652-1665. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_11_a7/

[1] Kupradze V. D., Granichnye zadachi teorii kolebanii i integralnye uravneniya, Gostekhteorizdat, M.-L., 1950 | MR

[2] Krutitskii P. A., “Zadacha Dirikhle dlya uravneniya Gelmgoltsa vne razrezov na ploskosti”, Zh. vychisl. matem. i matem. fiz., 34:8–9 (1994), 1237–1258 | MR | Zbl

[3] Wendland W. L., Stephan E. P., “A Hypersingular boundary integral method for two-dimensional screen and crack problems”, Arch. Ration Mech. and Analys., 112 (1990), 363–390 | DOI | MR | Zbl

[4] Tuchkin Yu. A., “Rasseyanie voln nezamknutym tsilindricheskim ekranom proizvolnogo profilya s granichnym usloviem Neimana”, Dokl. AN SSSR, 293:2 (1987), 343–345 | MR

[5] Zakharov E. V., Sobyanina i. V., “Ob odnomernykh integrodifferentsialnykh uravneniyakh zadach difraktsii na ekranakh”, Zh. vychisl. matem. i matem. fiz., 26:4 (1986), 632–636 | MR

[6] Panasyuk V. V., Savruk M. P., Nazarchuk Z. T., Metod singulyarnykh integralnykh uravnenii v dvumernykh zadachakh difraktsii, Nauk. dumka, Kiev, 1984 | MR

[7] Nazarchuk Z. T., Chislennoe issledovanie difraktsii voln na tsilindricheskikh strukturakh, Nauk. dumka, Kiev, 1989 | MR

[8] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987 | MR

[9] Vabischevich P. N., Gabov S. A., Shevtsov P. V., “Uglovoi potentsial dlya operatora $\Delta+c(x)$”, Zh. vychisl. matem. i matem. fiz., 19:5 (1979), 1162–1177 | MR

[10] Nikiforov A. F., Uvarov V. B., Spetsialnye funktsii matematicheskoi fiziki, Nauka, M., 1984 | MR

[11] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. 1, 2, Nauka, M., 1973

[12] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR

[13] Krein S. G., Funktsionalnyi analiz, Nauka, M., 1964 | Zbl

[14] Gakhov F. D., Kraevye zadachi, Fizmatgiz, M., 1963 | MR