Geodesic
The Hilbert problem for a first-order linear elliptic system with noncompactly supported coefficients on a Riemann surface with a boundary
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2006), pp. 16-24.

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I. A. Bikchantaev. The Hilbert problem for a first-order linear elliptic system with noncompactly supported coefficients on a Riemann surface with a boundary. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2006), pp. 16-24. http://geodesic.mathdoc.fr/item/IVM_2006_1_a2/

[1] Rodin Yu. L., “Generalized analytic functions on Riemann surfaces”, Lect. Notes Math., 1288, 1987, 1–128 | MR

[2] Bikchantaev I. A., “Kraevye zadachi dlya ellipticheskikh sistem pervogo poryadka na rimanovykh poverkhnostyakh”, Differents. uravneniya, 22:10 (1986), 1732–1738 | MR | Zbl

[3] Fomenko V. T., Bikchantaev I. A., “Primenenie obobschennykh analiticheskikh funktsii na rimanovykh poverkhnostyakh k issledovaniyu $G$-deformatsii dvumernykh poverkhnostei v $E^4$”, Matem. sb., 136:4 (1988), 561–573 | MR | Zbl

[4] Volpert A. I., “Ob indekse i normalnoi razreshimosti granichnykh zadach dlya ellipticheskikh sistem differentsialnykh uravnenii na ploskosti”, Tr. MMO, 10, 1961, 41–87 | MR

[5] Boyarskii B. V., “Teoriya obobschennogo analiticheskogo vektora”, Ann. Polon. Mathem., 17:3 (1966), 281–320

[6] Vinogradov V. S., “Granichnaya zadacha dlya ellipticheskoi sistemy pervogo poryadka na ploskosti”, Differents. uravneniya, 7:8 (1971), 1440–1448 | Zbl

[7] Vinogradov V. S., “Ob odnom metode resheniya granichnoi zadachi dlya ellipticheskoi sistemy pervogo poryadka na ploskosti”, DAN SSSR, 201:4 (1971), 767–770 | Zbl

[8] Vinogradov V. S., “O granichnykh zadachakh dlya ellipticheskikh sistem na ploskosti s nepreryvnymi koeffitsientami”, DAN SSSR, 227:4 (1976), 777–780 | MR | Zbl

[9] Wendland W., Elliptic systems in the plane, Pitman Press, London, 1979, XI + 400 pp. | MR | Zbl

[10] Sirazhudinov M. M., “O kraevoi zadache Rimana–Gilberta ($L_2$-teoriya)”, Differents. uravneniya, 25:8 (1989), 1400–1406 | MR | Zbl

[11] Sirazhudinov M. M., “O zadache Rimana–Gilberta dlya ellipticheskikh sistem pervogo poryadka v mnogosvyaznoi oblasti”, Matem. sb., 184:11 (1993), 39–62 | Zbl

[12] Bikchantaev I. A., “Zadacha Gilberta dlya lineinykh ellipticheskikh sistem pervogo poryadka na rimanovoi poverkhnosti s kraem”, Differents. uravneniya, 36:4 (2000), 500–507 | MR | Zbl

[13] Bikchantaev I. A., “Integralnye operatory I. N. Vekua na rimanovoi poverkhnosti”, Matem. zametki, 69:1 (2001), 18–30 | MR | Zbl

[14] Shiba M., “Some general properties of behavior spaces of harmonic semiexact differentials on an open Riemann surface”, Hiroshima Math. J., 8:1 (1978), 151–164 | MR | Zbl

[15] Barieva N. A., Bikchantaev I. A., “Zadacha sopryazheniya dlya neodnorodnogo uravneniya Koshi–Rimana na rimanovoi poverkhnosti”, Izv. vuzov. Matematika, 2002, no. 8, 8–12 | MR

[16] Mikhlin S. G., Lineinye uravneniya v chastnykh proizvodnykh, Vyssh. shkola, M., 1977, 432 pp. | MR

[17] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988, 334 pp. | MR

[18] Bikchantaev I. A., “O poluneterovosti kraevykh zadach na poverkhnostyakh beskonechnogo roda”, Rasshirennye zasedaniya seminara IPM im. I. N. Vekua pri Tbilisskom un-te, 5:1 (1990), 30–33