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Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity.
- Source :
- Applicable Analysis; Jan2020, Vol. 99 Issue 1, p50-74, 25p
- Publication Year :
- 2020
-
Abstract
- In this paper, we consider a viscoelastic plate equation with a velocity-dependent material density and a logarithmic nonlinearity. Using the Faedo-Galaerkin approximations and the multiplier method, we establish the existence of the solutions of the problem and we prove an explicit and general decay rate result. These results extend and improve many results in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
DENSITY
LAGRANGE multiplier
NONLINEAR analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 99
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 140429353
- Full Text :
- https://doi.org/10.1080/00036811.2018.1484910