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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 1983 Volume 23, Number 2, Pages 301–306 (Mi zvmmf5618)

Some functionals, stable in the sense of A. N. Tikhonov, for multidimensional ill-posed problems

V. B. Glasko, E. E. Kondorskaya

Moscow

Abstract: Using the example of two multi-dimensional converse problems, it is shown that stabilizing functionals of simplified construction, making explicit use of supplementary information about, the required solution, i.e., conditional stabilizers, can be used in the context of the general Tikhonov-regularizing algorithm.

UDC: 517.988.68

MSC: Primary 35R25; Secondary 35K05, 35J05

Received: 24.06.1981


 English version:
USSR Computational Mathematics and Mathematical Physics, 1983, 23:2, 27–30

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© Steklov Math. Inst. of RAS, 2024