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

Yongqin Liu, Shuichi Kawashima

研究成果: Article査読

10 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1-17
ページ数17
ジャーナルNonlinear Analysis, Theory, Methods and Applications
84
DOI
出版ステータスPublished - 2013
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

フィンガープリント 「Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル