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Asymptotic stability of a quasi-linear viscoelastic Kirchhoff plate equation with logarithmic source and time delay.
- Source :
- AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 10, p24087-24115, 29p
- Publication Year :
- 2023
-
Abstract
- In this paper, a quasi-linear viscoelastic Kirchhoff plate equation with logarithmic source and time delay involving free boundary conditions in a bounded domain is considered. The local existence and global existence are proved, respectively. Under the assumptions on a more general type of relaxation functions and suitable conditions on the coefficients between damping term and delay term, an explicit and general decay rate result is established by using the multiplier method and some properties of the convex functions. As the considered assumption here on the kernel is more general than earlier papers, our result improves and generalizes earlier result in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
MULTIPLIERS (Mathematical analysis)
CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 171945840
- Full Text :
- https://doi.org/10.3934/math.20231228