Stability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions

Charyyar Ashyralyyev, Gulzipa Akyüz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

In this study, we discuss well-posedness of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions. We establish abstract results on stability and coercive stability estimates for the solution of this inverse problem. Then, the abstract results are applied to three overdetermined problems for the multi-dimensional elliptic equation with different boundary conditions. Stability inequalities for solutions of these applications are obtained.

Original languageEnglish
Title of host publicationInternational Conference on Analysis and Applied Mathematics, ICAAM 2016
EditorsAlexey Lukashov, Alexey Lukashov, Allaberen Ashyralyev
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414174
DOIs
Publication statusPublished - 10 Aug 2016
Externally publishedYes
Event3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016 - Almaty, Kazakhstan
Duration: 7 Sept 201610 Sept 2016

Publication series

NameAIP Conference Proceedings
Volume1759
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016
Country/TerritoryKazakhstan
CityAlmaty
Period7/09/1610/09/16

Keywords

  • Coercive stability
  • Difference scheme
  • Elliptic problem
  • Overdetermination
  • Stability

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