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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 857–866
DOI: https://doi.org/10.7868/S0044466913060124 (Mi zvmmf9836) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Conditionally well-posed and generalized well-posed problems

M. Yu. Kokurin

Mari State University, Ioshkar-Ola
Full-text PDF (247 kB) Citations (14)
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DOI: https://doi.org/10.7868/S0044466913060124
Abstract: It is proved that, for a pair of metric spaces, the operators of abstract conditionally well-posed problems admit extensions that are continuous on the original domain with respect to the ambient space. As a corollary, it is shown that an arbitrary conditionally well-posed problem can be regularized via an operator independent of the error level in the input data. Certain applications to ill-posed operator equations and variational problems are discussed.
Key words: ill-posed problem, conditionally well-posed problem, regularizing operator, continuous operator, metric space.
Received: 23.01.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 681–690
DOI: https://doi.org/10.1134/S0965542513060110
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: M. Yu. Kokurin, “Conditionally well-posed and generalized well-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 857–866; Comput. Math. Math. Phys., 53:6 (2013), 681–690
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
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