Identification Elliptic Problem with Dirichlet and Integral Conditions
Özet
In the present paper, identification elliptic problem in a Hilbert space with Dirichlet and integral boundary conditions is discussed. Identification problem is reduced to auxiliary nonlocal boundary value problem with nonlocal integral condition. Operator approach is used to prove stability and coercive stability inequalities for solution of source identification elliptic problem in the case of a self-adjoint positive definite operator in a differential equation. As applications, four mixed boundary value problems for strongly elliptic multidimensional partial differential equation are investigated. Theorems on stability of solutions of these boundary value problems are established.
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/13008Resmi atıflarda kullanılan kalıcı adresAtıflar
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- OpenAlex
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Tam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Ashyralyyev, Charyyar | |
| dc.contributor.editor | Ashyralyev, A. | |
| dc.contributor.editor | Kalmenov, T.S. | |
| dc.contributor.editor | Ruzhansky, M.V. | |
| dc.contributor.editor | Sadybekov, M.A. | |
| dc.contributor.editor | Suragan, D. | |
| dc.date.accessioned | 2026-10-22T10:20:49.017268520Z | |
| dc.date.available | 2026-10-22T10:20:49.017268520Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In the present paper, identification elliptic problem in a Hilbert space with Dirichlet and integral boundary conditions is discussed. Identification problem is reduced to auxiliary nonlocal boundary value problem with nonlocal integral condition. Operator approach is used to prove stability and coercive stability inequalities for solution of source identification elliptic problem in the case of a self-adjoint positive definite operator in a differential equation. As applications, four mixed boundary value problems for strongly elliptic multidimensional partial differential equation are investigated. Theorems on stability of solutions of these boundary value problems are established. | |
| dc.identifier.doi | 10.1007/978-3-030-69292-6_4 | |
| dc.identifier.endpage | 73 | |
| dc.identifier.isbn | 978-303069291-9 | |
| dc.identifier.issn | 2194-1009 | |
| dc.identifier.scopus | 2-s2.0-85112209430 | |
| dc.identifier.startpage | 63 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/13008 | |
| dc.identifier.volume | 351 | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.relation.conference | 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018 | |
| dc.relation.ispartof | Springer Proceedings in Mathematics and Statistics | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject.other | Boundary conditions | |
| dc.subject.other | Identification problem | |
| dc.subject.other | Integral boundary conditions | |
| dc.subject.other | Mixed boundary-value problem | |
| dc.subject.other | Multidimensional partial differential equations | |
| dc.subject.other | Nonlocal boundary-value problems | |
| dc.subject.other | Nonlocal integral conditions | |
| dc.subject.other | Stability inequalities | |
| dc.subject.other | Stability of solutions | |
| dc.subject.other | Boundary value problems | |
| dc.title | Identification Elliptic Problem with Dirichlet and Integral Conditions | |
| dc.type | Conference Object | |
| dspace.entity.type | Publication | |
| rdl.citation.openalex | 4 | |
| rdl.citation.scopus | 3 | |
| rdl.conference.date | 6 September 2018 through 9 September 2018 | |
| rdl.conference.place | Mersin | |
| rdl.oa.status | closed | |
| rdl.scopus.quartile | Q4 | |
| rdl.source.index | SCOPUS |