Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source
Yükleniyor...
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Limited
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Logarithmic source, Delayed plate equation
Kaynak
Advances in Mathematical Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
2021
Sayı
Künye
Yüksekkaya, H., Pişkin, E., Boulaaras, S. M., Cherif, B. B. ve Zubair, S. A. (2021). Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source. Advances in Mathematical Physics, 2021, 1-11.
