Attractors for non-autonomous wave equations with a new class of external forces |
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| Authors: | Shan Ma Xiyou Cheng |
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| Institution: | a School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China
b Department of Applied Mathematics, Nanjing Audit University, Nanjing 210029, PR China |
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| Abstract: | We introduce a new concept Condition (C*), and denote the set of all functions satisfying Condition (C*) by  , which are translation bounded but not translation compact in  , and we show that there are many functions satisfying Condition (C*); then, in application, we obtain the existence of uniform attractors in  for non-autonomous wave equations involving mixed differential quotient terms with this new class of time dependent external forces  . |
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| Keywords: | Uniform attractor Translation compact Uniform Condition (C) Condition (C*) Non-autonomous wave equations |
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