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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 2, Pages 191–193
DOI: https://doi.org/10.17516/1997-1397-2018-11-2-191-193 (Mi jsfu663) 		 
Regularization of the Cauchy problem for elliptic operators

Anastasiya S. Peicheva

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-2-191-193
Abstract: We regularize the ill-posed Cauchy problem for a first order elliptic matrix differential operator $A$ with the use of a mixed problem for its Laplacian $A^*A$, depending on small parameter in boundary conditions.
Keywords: elliptic operators, the Cauchy problem, small parameter method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.2604.2017/PCh
The author was supported by grant of the Ministry of Education and Science of the Russian Federation no. 1.2604.2017/PCh.
Received: 10.05.2017
Received in revised form: 10.12.2017
Accepted: 20.03.2018
Document Type: Article
UDC: 517.98
Language: English
Citation: Anastasiya S. Peicheva, “Regularization of the Cauchy problem for elliptic operators”, J. Sib. Fed. Univ. Math. Phys., 11:2 (2018), 191–193
Citation in format AMSBIB
\Bibitem{Pei18}
\by Anastasiya~S.~Peicheva
\paper Regularization of the Cauchy problem for elliptic operators
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 2
\pages 191--193
\mathnet{http://mi.mathnet.ru/jsfu663}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-2-191-193}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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