Upper bounds on second order operators, acting on metric function
We prove upper bounds on the general second order operator acting on metric function. The suggested approach does not use traditional formulas for deviations of geodesics and Jacobi fields construction and leads to the manifolds generalization of the classical coercitivity and dissipativity conditio...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124513 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Upper bounds on second order operators, acting on metric function / A.V. Antoniouk // Український математичний вісник. — 2007. — Т. 4, № 2. — С. 163-172. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862610984847278080 |
|---|---|
| author | Antoniouk, A.V. |
| author_facet | Antoniouk, A.V. |
| citation_txt | Upper bounds on second order operators, acting on metric function / A.V. Antoniouk // Український математичний вісник. — 2007. — Т. 4, № 2. — С. 163-172. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We prove upper bounds on the general second order operator acting on metric function. The suggested approach does not use traditional formulas for deviations of geodesics and Jacobi fields construction and leads to the manifolds generalization of the classical coercitivity and dissipativity conditions for diffusion equations.
|
| first_indexed | 2025-11-29T00:10:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124513 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-29T00:10:58Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Antoniouk, A.V. 2017-09-28T13:36:56Z 2017-09-28T13:36:56Z 2007 Upper bounds on second order operators, acting on metric function / A.V. Antoniouk // Український математичний вісник. — 2007. — Т. 4, № 2. — С. 163-172. — Бібліогр.: 12 назв. — англ. 1810-3200 2000 MSC. 35A15, 53C21, 58E35. https://nasplib.isofts.kiev.ua/handle/123456789/124513 We prove upper bounds on the general second order operator acting on metric function. The suggested approach does not use traditional formulas for deviations of geodesics and Jacobi fields construction and leads to the manifolds generalization of the classical coercitivity and dissipativity conditions for diffusion equations. Author is grateful to referees for their comments about previous version of the article. en Інститут прикладної математики і механіки НАН України Український математичний вісник Upper bounds on second order operators, acting on metric function Article published earlier |
| spellingShingle | Upper bounds on second order operators, acting on metric function Antoniouk, A.V. |
| title | Upper bounds on second order operators, acting on metric function |
| title_full | Upper bounds on second order operators, acting on metric function |
| title_fullStr | Upper bounds on second order operators, acting on metric function |
| title_full_unstemmed | Upper bounds on second order operators, acting on metric function |
| title_short | Upper bounds on second order operators, acting on metric function |
| title_sort | upper bounds on second order operators, acting on metric function |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124513 |
| work_keys_str_mv | AT antonioukav upperboundsonsecondorderoperatorsactingonmetricfunction |