Geodesic
The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 10, pp. 1461-1475 Cet article a éte moissonné depuis la source Math-Net.Ru

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Yu. G. Smirnov. The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 10, pp. 1461-1475. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_10_a7/

[1] Ilinskii A. S., Kravtsov V. V., Sveshnikov A. G., Matematicheskie modeli elektrodinamiki, Vyssh. shkola, M., 1991

[2] Smirnov Yu. G., “O fredgolmovosti zadachi difraktsii na ploskom ogranichennom idealno provodyaschem ekrane”, Dokl. AN SSSR, 319:1 (1991), 147–149

[3] Smirnov Yu. G. P, “seudodiffefential equations for electrodynamic screen problem in $\mathbb R^3$”, Math. Methods in Electromagnetic Theory. 4-th Imternat. Seminar (15–24 September. Alushta, 1991), 171–182 | Zbl

[4] Smirnov Yu. G., “O fredgolmovosti sistemy psevdodifferentsialnykh uravnenii v zadache difraktsii na ogranichennom ekrane”, Differents. ur-niya, 28:1 (1992), 136–143

[5] Mischenko A. S., Vektornye rassloeniya i ikh primeneniya, Nauka, M., 1984 | MR

[6] Shubin M. A., Psevdodifferentsialnye operatory i spektralnaya teoriya, Nauka, M., 1978 | MR

[7] Rempel Sh., Shultse B.-V., Teoriya indeksa ellipticheskikh kraevykh zadach, Mir, M., 1986 | MR | Zbl

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

[9] Costabel M., “Boundary integral operators on Lipschitz domains: elementary results”, SIAM J. Math. Analys., 19:3 (1988), 613–626 | DOI | MR

[10] Stephan E. P., “Boundary integral equations for screen problem in $\mathbb R^3$”, Integral Equations and Operator Theory, 10 (1987), 236–257 | DOI | MR

[11] Novikov S. P., Fomenko A. E., Elementy differentsialnoi geometrii i topologii, Nauka, M., 1987 | MR

[12] Kato T., Teoriya vozmuscheniya lineinykh operatorov, Mir, M., 1972 | Zbl

[13] Päivärinta L., Rempel S., “Corner singularities of solutions to $\Delta^{\pm1/2}u=f$ in two dimensions”, Asymptotic Analys., 5 (1992), 429–460 | MR