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带有强阻尼和记忆项的Kirchhoff板方程的全局吸引子
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Abstract:
本文研究具有记忆项和强阻尼的 Kirchhoff 型板方程全局吸引子的存在性。 通过将先验估计和收 缩函数相结合的方法，证明了有界吸收集的存在性和半群的渐近紧性，最终得到了全局吸引子的 存在性。
In this paper, we try to study the global attractors for a Kirchhoff-type plate equation with strong damping and memory. Consequently, we introduce to prove the existence of a bounded absorbing set and asymptotic compactness of the semigroup by combining the prior estimate with the contraction function. Ultimately, we obtain the existence of the global attractors.
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