Geodesic
The Cauchy problem for the system of thermoelasticity equations in space
Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 212-217.

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We consider the problem of analytic continuation of the solution of the system of thermoelasticity equations in a bounded three-dimensional domain on the basis of known values of the solution and the corresponding stress on a part of the boundary, i.e., the Cauchy problem. We construct an approximate solution of the problem based on the method of Carleman's function. 
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T. I. Ishankulov; O. I. Makhmudov. The Cauchy problem for the system of thermoelasticity equations in space. Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 212-217. http://geodesic.mathdoc.fr/item/MZM_1998_64_2_a6/

[1] Lavrentev M. M., O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, VTs SO AN SSSR, Novosibirsk, 1962

[2] Petrovskii I. G., Lektsii ob uravneniyakh s chastnymi proizvodnymi, Fizmatgiz, M., 1961

[3] Lavrentev M. M., “O zadache Koshi dlya uravneniya Laplasa”, Izv. AN SSSR. Ser. matem., 20:6 (1956), 819–842 | MR | Zbl

[4] Lavrentev M. M., “O zadache Koshi dlya lineinykh ellipticheskikh uravnenii vtorogo poryadka”, Dokl. AN SSSR, 112:2 (1957), 195–197 | MR | Zbl

[5] Mergelyan S. N., “Garmonicheskaya approksimatsiya i priblizhennoe reshenie zadachi Koshi dlya uravneniya Laplasa”, UMN, 11:5 (1956), 3–26 | MR

[6] Yarmukhamedov Sh. Ya., “O zadache Koshi dlya uravneniya Laplasa”, Dokl. AN SSSR, 235:2 (1977), 281–283 | MR | Zbl

[7] Yarmukhamedov Sh. Ya., Ishankulov T. I., Makhmudov O. I., “O zadache Koshi dlya sistemy uravnenii teorii uprugosti v prostranstve”, Sib. matem. zh., 33:1 (1992), 186–190 | MR

[8] Ivanov V. K., “Zadacha Koshi dlya uravneniya Laplasa v beskonechnoi polose”, Differents. uravneniya, 1 (1965), 131–136 | MR | Zbl

[9] Aizenberg L. A., Tarkhanov N. N., “Abstraktnaya formula Karlemana”, Dokl. AN SSSR, 298:6 (1988), 1292–1296 | Zbl

[10] Makhmudov O. I., Zadacha Koshi dlya sistemy teorii uprugosti v prostranstve, Diss. ... k. f.-m. n., Novosibirsk, 1990

[11] Makhmudov O. I., “Zadacha Koshi dlya sistemy uravnenii prostranstvennoi teorii uprugosti v peremescheniyakh”, Izv. vuzov. Matem., 1994, no. 1, 54–61 | MR | Zbl

[12] Tarkhanov N. N., “O matritse Karlemana dlya ellipticheskikh sistem”, Dokl. AN SSSR, 284:2 (1985), 294–297 | MR | Zbl

[13] Kupradze V. D., Gegelia T. G., Basheleishvili M. O., Burchuladze T. V., Trekhmernye zadachi matematicheskoi teorii uprugosti i termouprugosti, Nauka, M., 1976

[14] Tikhonov A. N., “O reshenii nekorrektno postavlennykh zadach i metode regulyarizatsii”, Dokl. AN SSSR, 151:3 (1963), 501–504 | MR | Zbl

[15] Dzharbashyan M. M., Integralnye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti, Nauka, M., 1966