A free boundary problem arising in biology
This work was intended as an attempt to investigate a simple mathematical model cell. This model represents a problem with free boundary for system of two differential equations, one of which is parabolic and another one is elliptic. We apply a method which consists of the following. First, we const...
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| Veröffentlicht in: | Нелинейные граничные задачи |
|---|---|
| Datum: | 2004 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169171 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A free boundary problem arising in biology / M.A. Borodin // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 26-37. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-169171 |
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Borodin, M.A. 2020-06-07T16:28:08Z 2020-06-07T16:28:08Z 2004 A free boundary problem arising in biology / M.A. Borodin // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 26-37. — Бібліогр.: 5 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169171 This work was intended as an attempt to investigate a simple mathematical model cell. This model represents a problem with free boundary for system of two differential equations, one of which is parabolic and another one is elliptic. We apply a method which consists of the following. First, we construct a special system of difference-differential approximating elliptic problems, then we prove some uniform estimates and pass to the limit. We prove the existence of the classical solution. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи A free boundary problem arising in biology Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A free boundary problem arising in biology |
| spellingShingle |
A free boundary problem arising in biology Borodin, M.A. |
| title_short |
A free boundary problem arising in biology |
| title_full |
A free boundary problem arising in biology |
| title_fullStr |
A free boundary problem arising in biology |
| title_full_unstemmed |
A free boundary problem arising in biology |
| title_sort |
free boundary problem arising in biology |
| author |
Borodin, M.A. |
| author_facet |
Borodin, M.A. |
| publishDate |
2004 |
| language |
English |
| container_title |
Нелинейные граничные задачи |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
This work was intended as an attempt to investigate a simple mathematical model cell. This model represents a problem with free boundary for system of two differential equations, one of which is parabolic and another one is elliptic. We apply a method which consists of the following. First, we construct a special system of difference-differential approximating elliptic problems, then we prove some uniform estimates and pass to the limit. We prove the existence of the classical solution.
|
| issn |
0236-0497 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/169171 |
| citation_txt |
A free boundary problem arising in biology / M.A. Borodin // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 26-37. — Бібліогр.: 5 назв. — англ. |
| work_keys_str_mv |
AT borodinma afreeboundaryproblemarisinginbiology AT borodinma freeboundaryproblemarisinginbiology |
| first_indexed |
2025-11-28T09:49:56Z |
| last_indexed |
2025-11-28T09:49:56Z |
| _version_ |
1850853583841394688 |