Three-dimensional analogs of Cauchy–Riemann and Bitsadze systems
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 1, pp. 64-68
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We study some boundary value problems for three-dimensional analogs of Cauchy–Riemann and Bitsadze systems in a parallelepiped $D$. Theorems of solvability and uniqueness of a solution from the Sobolev space $W_2^1(D)$ are proved.
[1] A. V. Bitsadze, Osnovy teorii analiticheskikh funktsii kompleksnogo peremennogo, Nauka, M., 1969 | MR
[2] B. B. Oshorov, Kraevye zadachi dlya nekotorykh modelnykh sistem uravnenii v chastnykh proizvodnykh, preprint NGU, Novosibirsk, 2002