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Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source
(Hindawi Limited, 2021) Yüksekkaya, Hazal; Pişkin, Erhan; Boulaaras, Salah Mahmoud; Cherif, Bahri Belkacem; Zubair, Sulima Ahmed
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.