BACKWARDS DYNAMICS OF TIME-DEPENDENT ATTRACTOR FOR PLATE EQUATION ON THE WHOLE SPACE

Tingting Liu; Juanping Gao; Wenhui Ma

doi:10.11948/20240349

2025 Volume 15 Issue 6

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Tingting Liu, Juanping Gao, Wenhui Ma. BACKWARDS DYNAMICS OF TIME-DEPENDENT ATTRACTOR FOR PLATE EQUATION ON THE WHOLE SPACE[J]. Journal of Applied Analysis & Computation, 2025, 15(6): 3557-3575. doi: 10.11948/20240349

Citation:

Tingting Liu, Juanping Gao, Wenhui Ma. BACKWARDS DYNAMICS OF TIME-DEPENDENT ATTRACTOR FOR PLATE EQUATION ON THE WHOLE SPACE[J]. Journal of Applied Analysis & Computation, 2025, 15(6): 3557-3575. doi: 10.11948/20240349

BACKWARDS DYNAMICS OF TIME-DEPENDENT ATTRACTOR FOR PLATE EQUATION ON THE WHOLE SPACE

1.
College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, China

Author Bio: Email: 2639665477@qq.com(J. Gao); Email: ma15193089786@163.com(W. Ma)
Corresponding author: Email: lttnwnu91@126.com(T. Liu)
Fund Project: The authors were supported by National Natural Science Foundation of China (12101502, 11961059)

Abstract

Abstract

In this paper, we give the definition and criterion for the existence of backwards compact time-dependent attractor which is the minimal one among the backwards compact and pullback attracting sets in time-dependent whole space. Combining with the method of $ C_t- $limit compact and backwards asymptotic estimates outside a ball, the existence of backwards compact time-dependent attractor for stretchable plate equation with localized weak damping on the whole space is obtained.
- Backwards compact /
- time-dependent attractor /
- stretchable plate equation /
- unbounded domain
MSC: 37L30, 35B40, 35B41

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References

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