Asymptotic regularity for some dissipative equations |
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Authors: | Chunyou Sun |
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Institution: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China |
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Abstract: | This paper is devoted to proving some asymptotic regularity, for both reaction-diffusion equation with a polynomially growing nonlinearity of arbitrary order and strongly damped wave equation with critical nonlinearity, which excel the sharp regularity allowed by the corresponding stationary equations (equilibrium points). Based on this regularity, the existence of the finite-dimensional global and exponential attractors can be obtained easily. |
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Keywords: | 35K57 35L05 35B40 35B41 |
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