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Existence and general decay for a viscoelastic equation with logarithmic nonlinearity

  • Pusan National University

Research output: Contribution to journalJournal articlepeer-review

Abstract

In the present work, we investigate a viscoelastic equation involving a logarithmic nonlinear source term. After proving the existence of solutions, we establish a general decay estimate of the solution using energy estimates and theory of convex functions. This result extends and complements some previous results of [9, 21].

Original languageEnglish
Pages (from-to)1433-1448
Number of pages16
JournalJournal of the Korean Mathematical Society
Volume58
Issue number6
DOIs
StatePublished - 2021

Keywords

  • Convex function
  • General decay
  • Logarithmic source
  • Viscoelastic equation

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

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