Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source

Hazal Yüksekkaya, Erhan Pișkin, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif and Sulima Ahmed Zubair

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, we obtain the local and global existence of solutions by the logarithmic Sobolev inequality and the Faedo‐Galerkin method. Moreover, we prove the stability and nonexistence results by the perturbed energy and potential well methods.

Date: 2021
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https://doi.org/10.1155/2021/8561626

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:8561626

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