Kavli Affiliate: Ke Wang
| First 5 Authors: Bin Yang, Yuming Qin, Alain Miranville, Ke Wang,
| Summary:
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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