Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source

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Yüksekkaya H., Pişkin E.

ADVANCES IN MATHEMATICAL PHYSICS, cilt.2021, sa.2021, ss.1-11, 2021 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021 Sayı: 2021
  • Basım Tarihi: 2021
  • Dergi Adı: ADVANCES IN MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1-11
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Hakkari Üniversitesi Adresli: Hayır

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.