A note on well-posedness of source identification elliptic problem in a Banach space

We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Holder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

Authors
Ashyralyev A. 1, 2, 3 , Ashyralyyev C.4, 5 , Zvyagin V.G.6
Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Publisher
KARAGANDA STATE UNIV
Number of issue
3
Language
English
Pages
96-104
Status
Published
DOI
10.31489/2020M3/96-104
Volume
99
Year
2020
Organizations
  • 1 Near East Univ, Dept Math, Mersin 10, Nicosia, Trnc, Turkey
  • 2 Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 3 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
  • 4 Gumushane Univ, Dept Math Engn, TR-29100 Gumushane, Turkey
  • 5 TAU, Dept Comp Technol, Ashkhabad 744000, Turkmenistan
  • 6 Voronezh State Univ, Univ Skaya Sq 1, Voronezh 394018, Russia
Keywords
well-posedness; elliptic equations; positivity; coercive stability; source identification; exact estimates; boundary value problem
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/73166/
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