| Autor: |
Yang, Bin, Qin, Yuming, Miranville, Alain, Wang, Ke |
| Rok vydání: |
2024 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
