$G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations
The relationship between the $G$-convergence of parabolic operators and the weak convergence of solutions of diffusion equations is established. Constructive conditions are obtained for determining coefficients of a $G$-limiting operator.
Saved in:
| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5960 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512182737829888 |
|---|---|
| author | Makhno, S. Ya. Махно, С. Я. |
| author_facet | Makhno, S. Ya. Махно, С. Я. |
| author_sort | Makhno, S. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:58Z |
| description | The relationship between the $G$-convergence of parabolic operators and the weak convergence of solutions of diffusion equations is established. Constructive conditions are obtained for determining coefficients of a $G$-limiting operator. |
| first_indexed | 2026-03-24T03:24:43Z |
| format | Article |
| fulltext |
0068
0069
0070
0071
0072
0073
0074
0075
|
| id | umjimathkievua-article-5960 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:24:43Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/23/693c9d3df5af9eaeefd26f7969921923.pdf |
| spelling | umjimathkievua-article-59602020-03-19T09:21:58Z $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations $G$-сходимость параболических операторов и слабая сходимость решений диффузионных уравнений Makhno, S. Ya. Махно, С. Я. The relationship between the $G$-convergence of parabolic operators and the weak convergence of solutions of diffusion equations is established. Constructive conditions are obtained for determining coefficients of a $G$-limiting operator. Встановлено зв'язок між $G$-збіжністю параболічних операторів і слабкою збіжністю розв'язків дифузійних рівнянь. Одержано конструктивні умови для визначення коефіцієнтів $G$-граничного оператора. Institute of Mathematics, NAS of Ukraine 1993-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5960 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 11 (1993); 1534–1541 Український математичний журнал; Том 45 № 11 (1993); 1534–1541 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5960/8603 https://umj.imath.kiev.ua/index.php/umj/article/view/5960/8604 Copyright (c) 1993 Makhno S. Ya. |
| spellingShingle | Makhno, S. Ya. Махно, С. Я. $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations |
| title | $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations |
| title_alt | $G$-сходимость параболических операторов и слабая сходимость решений диффузионных уравнений |
| title_full | $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations |
| title_fullStr | $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations |
| title_full_unstemmed | $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations |
| title_short | $G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations |
| title_sort | $g$-convergence of parabolic operators and weak convergence of solutions of diffusion equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5960 |
| work_keys_str_mv | AT makhnosya gconvergenceofparabolicoperatorsandweakconvergenceofsolutionsofdiffusionequations AT mahnosâ gconvergenceofparabolicoperatorsandweakconvergenceofsolutionsofdiffusionequations AT makhnosya gshodimostʹparaboličeskihoperatorovislabaâshodimostʹrešenijdiffuzionnyhuravnenij AT mahnosâ gshodimostʹparaboličeskihoperatorovislabaâshodimostʹrešenijdiffuzionnyhuravnenij |