Abstract
In this paper, we consider a viscoelastic plate equation with a logarithmic nonlinearity. Using the Galaerkin method and the multiplier method, we establish the existence of solutions and prove an explicit and general decay rate result. This result extends and improves many results in the literature such as Gorka [19], Hiramatsu et al. [27] and Han and Wang [26].
| Original language | English |
|---|---|
| Pages (from-to) | 159-180 |
| Number of pages | 22 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2019 |
Bibliographical note
Publisher Copyright:© 2019 American Institute of Mathematical Sciences. All rights reserved.
Keywords
- General decay
- Logarithmic nonlinearity
- Plate equation
- Viscoelasticity
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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