Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
We establish estimates for the initial evolution of the supports of solutions of a broad class of quasilinear parabolic equations of arbitrary order that have the structure of the equation of strong nonlinear convective diffusion.
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| Date: | 2001 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4316 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510447489253376 |
|---|---|
| author | Sapronov, D. A. Shishkov, A. E. Сапронов, Д. А. Шишков, А. Е. Сапронов, Д. А. Шишков, А. Е. |
| author_facet | Sapronov, D. A. Shishkov, A. E. Сапронов, Д. А. Шишков, А. Е. Сапронов, Д. А. Шишков, А. Е. |
| author_sort | Sapronov, D. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:34Z |
| description | We establish estimates for the initial evolution of the supports of solutions of a broad class of quasilinear parabolic equations of arbitrary order that have the structure of the equation of strong nonlinear convective diffusion. |
| first_indexed | 2026-03-24T02:57:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4316 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:09Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ac/e7ccf833bc7f5a8513743b87045318ac.pdf |
| spelling | umjimathkievua-article-43162020-03-18T20:26:34Z Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term Распространение возмущений в квазилинейных многомерных параболических уравнениях с конвективным членом Sapronov, D. A. Shishkov, A. E. Сапронов, Д. А. Шишков, А. Е. Сапронов, Д. А. Шишков, А. Е. We establish estimates for the initial evolution of the supports of solutions of a broad class of quasilinear parabolic equations of arbitrary order that have the structure of the equation of strong nonlinear convective diffusion. Встановлено оцінки стартової еволюції носіїв енергетичних узагальнених розв'язків широкого класу квазілінійних параболічних рівнянь довільного порядку структури рівняння сильної нелінійної дифузії-конвекції. Institute of Mathematics, NAS of Ukraine 2001-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4316 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 7 (2001); 953-969 Український математичний журнал; Том 53 № 7 (2001); 953-969 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4316/5336 https://umj.imath.kiev.ua/index.php/umj/article/view/4316/5337 Copyright (c) 2001 Sapronov D. A.; Shishkov A. E. |
| spellingShingle | Sapronov, D. A. Shishkov, A. E. Сапронов, Д. А. Шишков, А. Е. Сапронов, Д. А. Шишков, А. Е. Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term |
| title | Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term |
| title_alt | Распространение возмущений в квазилинейных
многомерных параболических уравнениях с конвективным членом |
| title_full | Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term |
| title_fullStr | Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term |
| title_full_unstemmed | Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term |
| title_short | Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term |
| title_sort | propagation of perturbations in quasilinear multidimensional parabolic equations with convective term |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4316 |
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