Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity

By M. Al‐Gharabli, Aissa Guesmia, Salim A. Messaoudi. Communications on Pure and Applied Analysis, 2019

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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 ].

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis

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