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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Bibliographic Details
Date:2009
Main Authors: Stanzhitsky, A.N., Gorban, N.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine