Dynamics of non-autonomous reaction-diffusion equations in locally uniform spaces (Q519347)
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scientific article; zbMATH DE number 6700581
| Language | Label | Description | Also known as |
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| English | Dynamics of non-autonomous reaction-diffusion equations in locally uniform spaces |
scientific article; zbMATH DE number 6700581 |
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Dynamics of non-autonomous reaction-diffusion equations in locally uniform spaces (English)
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4 April 2017
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The authors prove the well-posedness of a non-autonomous reaction-diffusion equation in \(\mathbb{R}^N\) in the setting of locally uniform spaces with singular data. Regarding the large time behavior of solutions, they show the existence of a uniform attractor with locally uniform external forces being translation uniform bounded but not translation compact.
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large time behavior
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locally uniform spaces
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weighted Sobolev spaces
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