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Volume 36, Issue 3
Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term

Gongwei Liu, Yangyang Lu & Hongwei Zhang

DOI: 10.4208/jpde.v36.n3.4

J. Part. Diff. Eq., 36 (2023), pp. 305-320.

Published online: 2023-08

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  • Abstract

In this paper, we mainly investigate the initial boundary value problem for a plate equation with non-local degenerate energy damping term and source term. By using potential well and Nakao’s inequality, we establish the global existence and the energy decay rate when the initial data is starting in the stable set. Finally, we derive some further estimate on the stability.

  • Keywords

Plate equation, global existence, energy damping, non-exponential decay.

  • AMS Subject Headings

35A01, 35G31, 35B40, 35B44

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-36-305, author = {Liu , GongweiLu , Yangyang and Zhang , Hongwei}, title = {Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term}, journal = {Journal of Partial Differential Equations}, year = {2023}, volume = {36}, number = {3}, pages = {305--320}, abstract = {

In this paper, we mainly investigate the initial boundary value problem for a plate equation with non-local degenerate energy damping term and source term. By using potential well and Nakao’s inequality, we establish the global existence and the energy decay rate when the initial data is starting in the stable set. Finally, we derive some further estimate on the stability.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v36.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/21890.html} }
TY - JOUR T1 - Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term AU - Liu , Gongwei AU - Lu , Yangyang AU - Zhang , Hongwei JO - Journal of Partial Differential Equations VL - 3 SP - 305 EP - 320 PY - 2023 DA - 2023/08 SN - 36 DO - http://doi.org/10.4208/jpde.v36.n3.4 UR - https://global-sci.org/intro/article_detail/jpde/21890.html KW - Plate equation, global existence, energy damping, non-exponential decay. AB -

In this paper, we mainly investigate the initial boundary value problem for a plate equation with non-local degenerate energy damping term and source term. By using potential well and Nakao’s inequality, we establish the global existence and the energy decay rate when the initial data is starting in the stable set. Finally, we derive some further estimate on the stability.

Liu , GongweiLu , Yangyang and Zhang , Hongwei. (2023). Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term. Journal of Partial Differential Equations. 36 (3). 305-320. doi:10.4208/jpde.v36.n3.4
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