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arXiv · 2402.14479

Existence and upper semicontinuity of pullback attractors for Kirchhoff wave equations in time-dependent spaces

Bin Yang·Yuming Qin·Alain Miranville·Ke Wang
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Abstract

In this paper, we shall investigate the existence and upper semicontinuity of pullback attractors for non-autonomous Kirchhoff wave equations with a strong damping in the time-dependent space $X_t$. After deriving the existence and uniqueness of solutions by the Faedo-Galerkin approximation method, we establish the existence of pullback attractors. Later on, we prove the upper semicontinuity of pullback attractors between the Kirchhoff-type wave equations with $\delta \geq 0$ and the conventional wave equations with $\delta=0$ by a series of complex energy estimates.

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Bin Yang, Yuming Qin, Alain Miranville, Ke Wang. 2024-02-22. Existence and upper semicontinuity of pullback attractors for Kirchhoff wave equations in time-dependent spaces. https://arxiv.org/abs/2402.14479

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