Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839963 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 14 Pages |
Abstract
We consider the problem of uniform long-time behavior of all globally defined weak solutions of a non-autonomous reaction-diffusion system with Carathéodory's nonlinearity satisfying standard sign and polynomial growth assumptions. The main contributions of this paper are: (i) the existence of a uniform trajectory attractor for all globally defined weak solutions of non-autonomous reaction-diffusion equations with Carathéodory's nonlinearity, (ii) sufficient conditions for the existence of a uniform trajectory attractor in strongest topologies, and (iii) new topological properties of weak solutions.
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Authors
Nataliia V. Gorban, Oleksiy V. Kapustyan, Pavlo O. Kasyanov,