Estimates of the heat kernel on a manifold of nonpositive curvature
On a Riemannian manifold of nonpositive curvature, we obtain dimension-independent estimates for the fundamental solution of a parabolic equation and for the logarithmic derivative of this solution.
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4862 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511040609976320 |
|---|---|
| author | Bondarenko, V. G. Бондаренко, В. Г. |
| author_facet | Bondarenko, V. G. Бондаренко, В. Г. |
| author_sort | Bondarenko, V. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:53Z |
| description | On a Riemannian manifold of nonpositive curvature, we obtain dimension-independent estimates for the fundamental solution of a parabolic equation and for the logarithmic derivative of this solution. |
| first_indexed | 2026-03-24T03:06:34Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4862 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:06:34Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/48/69045c56a6687855db1f206951506148.pdf |
| spelling | umjimathkievua-article-48622020-03-18T21:15:53Z Estimates of the heat kernel on a manifold of nonpositive curvature Оценки ядра теплопроводности на многообразии неположительной кривизиы Bondarenko, V. G. Бондаренко, В. Г. On a Riemannian manifold of nonpositive curvature, we obtain dimension-independent estimates for the fundamental solution of a parabolic equation and for the logarithmic derivative of this solution. На рімановому многовиді недодатної кривизни одержано незалежні від розмірності оцінки фундаментального розв'язку параболічного рівняння та його логарифмічної похідної. Institute of Mathematics, NAS of Ukraine 1998-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4862 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 8 (1998); 1129–1136 Український математичний журнал; Том 50 № 8 (1998); 1129–1136 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4862/6423 https://umj.imath.kiev.ua/index.php/umj/article/view/4862/6424 Copyright (c) 1998 Bondarenko V. G. |
| spellingShingle | Bondarenko, V. G. Бондаренко, В. Г. Estimates of the heat kernel on a manifold of nonpositive curvature |
| title | Estimates of the heat kernel on a manifold of nonpositive curvature |
| title_alt | Оценки ядра теплопроводности на многообразии неположительной
кривизиы |
| title_full | Estimates of the heat kernel on a manifold of nonpositive curvature |
| title_fullStr | Estimates of the heat kernel on a manifold of nonpositive curvature |
| title_full_unstemmed | Estimates of the heat kernel on a manifold of nonpositive curvature |
| title_short | Estimates of the heat kernel on a manifold of nonpositive curvature |
| title_sort | estimates of the heat kernel on a manifold of nonpositive curvature |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4862 |
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