Local existence, global existence and decay results of a logarithmic wave equation with delay term

Yüksekkaya H., Pişkin E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.2022, pp.1-12, 2022 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 2022
  • Publication Date: 2022
  • Doi Number: 10.1002/mma.8912
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1-12
  • Hakkari University Affiliated: No

Abstract

In this article, we deal with a logarithmic wave equation with strong damping and delay. Firstly, we prove the local existence by utilizing the semigroup theory. Later, we obtain the global existence of solutions by using the well-depth method. Moreover, under appropriate assumptions on the weight of the delay and that of strong damping, we get the exponential decay.