Abstract
This paper is devoted to the backward asymptotic behavior of solutions for non-autonomous Swift–Hohenberg (SH) equations with delays. We first consider the existence, backward compactness and longtime stability of regular pullback attractors. Then we study the asymptotic autonomy of pullback attractors in the regular space. Due to solutions have no high regularity, we use the spectrum decomposition technique to prove the backward asymptotic compactness of solutions in the regular space.
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Acknowledgements
The author would like to express his sincere thanks to the referee for valuable comments. This work was supported by Shandong Provincial Natural Science Foundation (Grant No. ZR2022QA054) and Doctoral Foundation of Heze University (Grant No. XY22BS29).
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Zhang, Q. Regular Dynamics of Non-autonomous Retarded Swift–Hohenberg Equations. Mediterr. J. Math. 20, 99 (2023). https://doi.org/10.1007/s00009-023-02324-2
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DOI: https://doi.org/10.1007/s00009-023-02324-2
Keywords
- Delay Swift–Hohenberg equation
- regular pullback attractor
- backward compactness
- stability
- asymptotic autonomy