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

Creative Commons License

Yüksekkaya H., Pişkin E.

ADVANCES IN MATHEMATICAL PHYSICS, vol.2021, no.2021, pp.1-11, 2021 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 2021 Issue: 2021
  • Publication Date: 2021
  • Journal Name: ADVANCES IN MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1-11
  • Hakkari University Affiliated: No

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.