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- Title
EXISTENCE AND A GENERAL DECAY RESULTS FOR A VISCOELASTIC PLATE EQUATION WITH A LOGARITHMIC NONLINEARITY.
- Authors
Al-Gharabli, Mohammad M.; Guesmia, Aissa; Messaoudi, Salim A.
- 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].
- Subjects
MATHEMATICAL models of viscoelasticity; LOGARITHMIC functions; LOGARITHMS; NONLINEAR theories; GALERKIN methods
- Publication
Communications on Pure & Applied Analysis, 2019, Vol 18, Issue 1, p159
- ISSN
1534-0392
- Publication type
Article
- DOI
10.3934/cpaa.2019009