Lie Symmetries and Criticality of Semilinear Differential Systems
We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the S. Lie symmetry theory. We show that this de...
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147807 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Lie Symmetries and Criticality of Semilinear Differential Systems / Y. Bozhkov, E. Mitidieri // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 39 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147807 |
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dspace |
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irk-123456789-1478072019-02-17T01:24:10Z Lie Symmetries and Criticality of Semilinear Differential Systems Bozhkov, Y. Mitidieri, E. We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the S. Lie symmetry theory. We show that this definition is compatible with the well-known notion of critical exponent by considering various examples. We also review some related recent papers. 2007 Article Lie Symmetries and Criticality of Semilinear Differential Systems / Y. Bozhkov, E. Mitidieri // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 39 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35J50; 35J20; 35J60; 35L70 http://dspace.nbuv.gov.ua/handle/123456789/147807 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the S. Lie symmetry theory. We show that this definition is compatible with the well-known notion of critical exponent by considering various examples. We also review some related recent papers. |
| format |
Article |
| author |
Bozhkov, Y. Mitidieri, E. |
| spellingShingle |
Bozhkov, Y. Mitidieri, E. Lie Symmetries and Criticality of Semilinear Differential Systems Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bozhkov, Y. Mitidieri, E. |
| author_sort |
Bozhkov, Y. |
| title |
Lie Symmetries and Criticality of Semilinear Differential Systems |
| title_short |
Lie Symmetries and Criticality of Semilinear Differential Systems |
| title_full |
Lie Symmetries and Criticality of Semilinear Differential Systems |
| title_fullStr |
Lie Symmetries and Criticality of Semilinear Differential Systems |
| title_full_unstemmed |
Lie Symmetries and Criticality of Semilinear Differential Systems |
| title_sort |
lie symmetries and criticality of semilinear differential systems |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147807 |
| citation_txt |
Lie Symmetries and Criticality of Semilinear Differential Systems / Y. Bozhkov, E. Mitidieri // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 39 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT bozhkovy liesymmetriesandcriticalityofsemilineardifferentialsystems AT mitidierie liesymmetriesandcriticalityofsemilineardifferentialsystems |
| first_indexed |
2023-05-20T17:28:15Z |
| last_indexed |
2023-05-20T17:28:15Z |
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1796153371714912256 |