On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity
We consider the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity. The a priory estimates for solutions are obtained. The existence of compact invariant global attractor for m-semiflow was justified.
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124359 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity / A.N. Stanzhitsky, N.V. Gorban // Український математичний вісник. — 2009. — Т. 6, № 2. — С. 235-251. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862716943151136768 |
|---|---|
| author | Stanzhitsky, A.N. Gorban, N.V. |
| author_facet | Stanzhitsky, A.N. Gorban, N.V. |
| citation_txt | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity / A.N. Stanzhitsky, N.V. Gorban // Український математичний вісник. — 2009. — Т. 6, № 2. — С. 235-251. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We consider the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity. The a priory estimates for solutions are obtained. The existence of compact invariant global attractor for m-semiflow was justified.
|
| first_indexed | 2025-12-07T18:07:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124359 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T18:07:59Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Stanzhitsky, A.N. Gorban, N.V. 2017-09-24T11:57:57Z 2017-09-24T11:57:57Z 2009 On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity / A.N. Stanzhitsky, N.V. Gorban // Український математичний вісник. — 2009. — Т. 6, № 2. — С. 235-251. — Бібліогр.: 19 назв. — англ. 1810-3200 2000 MSC. 35B40, 35K55, 37B25 https://nasplib.isofts.kiev.ua/handle/123456789/124359 We consider the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity. The a priory estimates for solutions are obtained. The existence of compact invariant global attractor for m-semiflow was justified. en Інститут прикладної математики і механіки НАН України Український математичний вісник On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity Article published earlier |
| spellingShingle | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity Stanzhitsky, A.N. Gorban, N.V. |
| title | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity |
| title_full | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity |
| title_fullStr | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity |
| title_full_unstemmed | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity |
| title_short | On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity |
| title_sort | on the dynamics of solutions for autonomous reaction-diffusion equation in rⁿ with multivalued nonlinearity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124359 |
| work_keys_str_mv | AT stanzhitskyan onthedynamicsofsolutionsforautonomousreactiondiffusionequationinrnwithmultivaluednonlinearity AT gorbannv onthedynamicsofsolutionsforautonomousreactiondiffusionequationinrnwithmultivaluednonlinearity |