Large Time Behavior of Solutions to the Cauchy Problem for One-Dimensional Thermoelastic System with Dissipation

Kenji Nishihara*, Shinya Nishibata

*この研究の対応する著者

    研究成果: Article査読

    抄録

    In this paper we investigate the large time behavior of solutions to the Cauchy problem on R for a one-dimensional thermoelastic system with dissipation. When the initial data is suitably small, (S. Zheng, Chin. Ann. Math. 8B (1987), 142-155) established the global existence and the decay properties of the solution. Our aim is to improve the results and to obtain the sharper decay properties, which seems to be optimal. The proof is given by the energy method and the Green function method.

    本文言語English
    ページ(範囲)167-189
    ページ数23
    ジャーナルJournal of Inequalities and Applications
    6
    2
    出版ステータスPublished - 2000

    ASJC Scopus subject areas

    • 分析
    • 応用数学
    • 離散数学と組合せ数学

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