Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory

Yongqin Liu, Shuichi Kawashima

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9 Citations (Scopus)

Abstract

In this paper we consider the initial-value problem for the nonlinear Timoshenko system with a memory term. Due to the regularity-loss property and weak dissipation, we have to assume stronger nonlinearity than usual. By virtue of the semi-group arguments, we obtain the global existence and optimal decay of solutions to the nonlinear problem under smallness and enough regularity assumptions on the initial data, where we employ a time-weighted L2 energy method combined with the optimal L2 decay of lower-order derivatives of solutions.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalNonlinear Analysis, Theory, Methods and Applications
Volume84
DOIs
Publication statusPublished - Mar 12 2013

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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