A Gronwall-type lemma with parameter and its application to Kirchhoff type nonlinear wave equation
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- 作者：Ke Li ; like@zzu.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Gronwall-type inequality ; Uniform estimates ; Kirchhoff-type equations ; Global attractor
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2017
- 出版时间：15 March 2017
- 年：2017
- 卷：447
- 期：2
- 页码：683-704
- 全文大小：427 K
文摘
The paper investigates a new Gronwall-type lemma with parameter ϵ>0, and establishes the uniform-in-time estimates. As an application, the paper studies the asymptotic behavior of the Kirchhoff-type equations with a strong dissipation, and proves that the related solution semigroup possesses the global attractor.