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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Date: | 2009 |
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Main Authors: | Stanzhitsky, A.N., Gorban, N.V. |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2009
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Series: | Український математичний вісник |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/124359 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | 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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