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Strong solutions and trajectory attractors to the thin-film equation with absorption

Journal of Mathematical Analysis and Applications(2021)

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摘要
We prove local and global in time existence of non-negative weak solutions to the thin-film equation with absorption and obtain sufficient conditions for extra regularity of these solutions. Moreover, for the class of global strong solutions, we show existence of a trajectory attractor. (C) 2020 Elsevier Inc. All rights reserved.
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关键词
Thin film equation,Strong solution,Trajectory attractor
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