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Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source
Journal article   Open access  Peer reviewed

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

Hazal Yuksekkaya, Erhan Piskin, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif and Sulima Ahmed Zubair
Advances in mathematical physics, Vol.2021, pp.1-11
28/06/2021
DOI: https://doi.org/10.1155/2021/8561626

Abstract

Physical Sciences Physics Physics, Mathematical Science & Technology
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.
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https://doi.org/10.1155/2021/8561626View
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