The initial value problem for some hyperbolic-dispersive system

Shuichi Kawashima, Chi Kun Lin, Junichi Segata

研究成果: ジャーナルへの寄稿記事

抄録

We consider the initial value problem for some nonlinear hyperbolic-dispersive systems in one space dimension. Combining the classical energy method and the smoothing estimates for the Airy equation, we guarantee the time local well-posedness for this system. We also discuss the extension of our results to more general hyperbolic-dispersive system.

元の言語英語
ページ(範囲)125-133
ページ数9
ジャーナルMathematical Methods in the Applied Sciences
35
発行部数2
DOI
出版物ステータス出版済み - 1 30 2012

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Initial value problems
Initial Value Problem
Local Well-posedness
Energy Method
Smoothing
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

これを引用

The initial value problem for some hyperbolic-dispersive system. / Kawashima, Shuichi; Lin, Chi Kun; Segata, Junichi.

:: Mathematical Methods in the Applied Sciences, 巻 35, 番号 2, 30.01.2012, p. 125-133.

研究成果: ジャーナルへの寄稿記事

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