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  • 标题:Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source
  • 本地全文:下载
  • 作者:Hazal Yüksekkaya ; Erhan Pișkin ; Salah Mahmoud Boulaaras
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2021
  • 卷号:2021
  • 页码:1-11
  • DOI:10.1155/2021/8561626
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, we obtain the local and global existence of solutions by the logarithmic Sobolev inequality and the Faedo-Galerkin method. Moreover, we prove the stability and nonexistence results by the perturbed energy and potential well methods.
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