On Discrete Solutions for Elliptic Pseudo-Differential Equations
We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev–Slobodetskii spaces. Based on the theory of discrete boundary value problems for elliptic pseudo-differential equations we...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2021-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Online Access: | https://mathematics-vestnik.ksu.kz/apart/2021-103-3/12.pdf |
| _version_ | 1827819152743596032 |
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| author | O.A. Tarasova A.V. Vasilyev V.B. Vasilyev |
| author_facet | O.A. Tarasova A.V. Vasilyev V.B. Vasilyev |
| author_sort | O.A. Tarasova |
| collection | DOAJ |
| description | We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev–Slobodetskii spaces. Based on the theory of discrete boundary value problems for elliptic pseudo-differential equations we give a comparison between discrete and continuous solutions for certain model boundary value problem. |
| first_indexed | 2024-03-12T01:10:03Z |
| format | Article |
| id | doaj.art-ace9f95da3704d2d9a0924c122440e6e |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-12T01:10:03Z |
| publishDate | 2021-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-ace9f95da3704d2d9a0924c122440e6e2023-09-14T06:33:42ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112021-09-01103311712310.31489/2021M3/117-123On Discrete Solutions for Elliptic Pseudo-Differential EquationsO.A. TarasovaA.V. VasilyevV.B. Vasilyev We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev–Slobodetskii spaces. Based on the theory of discrete boundary value problems for elliptic pseudo-differential equations we give a comparison between discrete and continuous solutions for certain model boundary value problem.https://mathematics-vestnik.ksu.kz/apart/2021-103-3/12.pdf |
| spellingShingle | O.A. Tarasova A.V. Vasilyev V.B. Vasilyev On Discrete Solutions for Elliptic Pseudo-Differential Equations Қарағанды университетінің хабаршысы. Математика сериясы |
| title | On Discrete Solutions for Elliptic Pseudo-Differential Equations |
| title_full | On Discrete Solutions for Elliptic Pseudo-Differential Equations |
| title_fullStr | On Discrete Solutions for Elliptic Pseudo-Differential Equations |
| title_full_unstemmed | On Discrete Solutions for Elliptic Pseudo-Differential Equations |
| title_short | On Discrete Solutions for Elliptic Pseudo-Differential Equations |
| title_sort | on discrete solutions for elliptic pseudo differential equations |
| url | https://mathematics-vestnik.ksu.kz/apart/2021-103-3/12.pdf |
| work_keys_str_mv | AT oatarasova ondiscretesolutionsforellipticpseudodifferentialequations AT avvasilyev ondiscretesolutionsforellipticpseudodifferentialequations AT vbvasilyev ondiscretesolutionsforellipticpseudodifferentialequations |