Uniform and weak stability of Bresse system with two infinite memories

Aissa Guesmia, Mokhtar Kirane

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

In this paper, we consider one-dimensional linear Bresse systems in a bounded open domain under Dirichlet–Neumann–Neumann boundary conditions with two infinite memories acting only on two equations. First, we establish the well-posedness in the sense of semigroup theory. Then, we prove two (uniform and weak) decay estimates depending on the speeds of wave propagations, the smoothness of initial data and the arbitrarily growth at infinity of the two relaxation functions.

Original languageBritish English
Article number124
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume67
Issue number5
DOIs
StatePublished - 1 Oct 2016

Keywords

  • 35B40
  • 35L45
  • 74H40
  • 93D15
  • 93D20

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