Decay estimates for hyperbolic balance laws

Shuichi Kawashima, Wen An Yong

研究成果: Contribution to journalArticle査読

30 被引用数 (Scopus)

抄録

This work is concerned with time-decay properties of small-amplitude global smooth solutions to the initial value problem for hyperbolic systems of balance laws admitting an entropy and satisfying the stability condition. By using energy methods in both the physical space and the Fourier space, we obtain the optimal decay estimates of solutions and their derivatives in the L 2-norm up to order s - 1, provided that the initial data are in Hs. A key ingredient in our analysis is a time-weighted energy estimate, leading to a decay estimate for multi-dimensional problems without assuming the L1property on initial data.

本文言語英語
ページ(範囲)1-33
ページ数33
ジャーナルZeitschrift fur Analysis und ihre Anwendung
28
1
DOI
出版ステータス出版済み - 1 1 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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