Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold
We construct a fundamental solution of a parabolic equation with drift on a Riemannian manifold of nonpositive curvature by the perturbation method on the basis of a solution of an equation without drift. We establish conditions for the drift field under which this method is applicable.
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3739 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509870758821888 |
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| author | Bernatskaya, J. N. Бернацкая, Ю. Н. Бернацкая, Ю. Н. |
| author_facet | Bernatskaya, J. N. Бернацкая, Ю. Н. Бернацкая, Ю. Н. |
| author_sort | Bernatskaya, J. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:07:09Z |
| description | We construct a fundamental solution of a parabolic equation with drift on a Riemannian manifold of nonpositive curvature by the perturbation method on the basis of a solution of an equation without drift. We establish conditions for the drift field under which this method is applicable. |
| first_indexed | 2026-03-24T02:47:59Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3739 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:47:59Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fb/f254ded55b0a61d128fe3d30158821fb.pdf |
| spelling | umjimathkievua-article-37392020-03-18T20:07:09Z Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold Метод возмущений для параболического уравнения со сносом на римановом многообразии Bernatskaya, J. N. Бернацкая, Ю. Н. Бернацкая, Ю. Н. We construct a fundamental solution of a parabolic equation with drift on a Riemannian manifold of nonpositive curvature by the perturbation method on the basis of a solution of an equation without drift. We establish conditions for the drift field under which this method is applicable. Фундаментальний розв'язок параболічного рівняння зі зсувом на рімановому мпоговиді недодатної кривини побудовано методом збурення, виходячи з розв'язку рівняння без зсуву. Визначено умови на поле зсуву, за яких цей метод можна застосувати. Institute of Mathematics, NAS of Ukraine 2004-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3739 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 2 (2004); 148-159 Український математичний журнал; Том 56 № 2 (2004); 148-159 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3739/4201 https://umj.imath.kiev.ua/index.php/umj/article/view/3739/4202 Copyright (c) 2004 Bernatskaya J. N. |
| spellingShingle | Bernatskaya, J. N. Бернацкая, Ю. Н. Бернацкая, Ю. Н. Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold |
| title | Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold |
| title_alt | Метод возмущений для параболического уравнения со сносом на римановом многообразии |
| title_full | Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold |
| title_fullStr | Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold |
| title_full_unstemmed | Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold |
| title_short | Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold |
| title_sort | perturbation method for a parabolic equation with drift on a riemannian manifold |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3739 |
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