On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity

• Published in: Український математичний вісник
• Date: 2009
• Main Authors: Stanzhitsky, A.N., Gorban, N.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124359
• 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.

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.