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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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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nasplib_isofts_kiev_ua-123456789-124359 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity |
| spellingShingle |
On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity Stanzhitsky, A.N. Gorban, N.V. |
| title_short |
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_sort |
on the dynamics of solutions for autonomous reaction-diffusion equation in rⁿ with multivalued nonlinearity |
| author |
Stanzhitsky, A.N. Gorban, N.V. |
| author_facet |
Stanzhitsky, A.N. Gorban, N.V. |
| publishDate |
2009 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/124359 |
| 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. |
| work_keys_str_mv |
AT stanzhitskyan onthedynamicsofsolutionsforautonomousreactiondiffusionequationinrnwithmultivaluednonlinearity AT gorbannv onthedynamicsofsolutionsforautonomousreactiondiffusionequationinrnwithmultivaluednonlinearity |
| first_indexed |
2025-12-07T18:07:59Z |
| last_indexed |
2025-12-07T18:07:59Z |
| _version_ |
1850873877128806400 |