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

Yongqin Liu, Shuichi Kawashima

研究成果: ジャーナルへの寄稿記事

7 引用 (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.

元の言語英語
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
出版物ステータス出版済み - 3 12 2013

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Decay of Solutions
Initial value problems
Global Existence
Nonlinear systems
Regularity
Derivatives
Data storage equipment
Memory Term
Energy Method
Initial Value Problem
Nonlinear Problem
Dissipation
Semigroup
Nonlinearity
Decay
Derivative

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

これを引用

Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory. / Liu, Yongqin; Kawashima, Shuichi.

:: Nonlinear Analysis, Theory, Methods and Applications, 巻 84, 12.03.2013, p. 1-17.

研究成果: ジャーナルへの寄稿記事

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