The frequency-localization technique and minimal decay-regularity for Euler–Maxwell equations

Jiang Xu, Shuichi Kawashima

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

Dissipative hyperbolic systems of regularity-loss have been recently received increasing attention. Extra higher regularity is usually assumed to obtain the optimal decay estimates, in comparison with the global-in-time existence of solutions. In this paper, we develop a new frequency-localization time-decay property, which enables us to overcome the technical difficulty and improve the minimal decay-regularity for dissipative systems. As an application, it is shown that the optimal decay rate of L1(R3)–L2(R3) is available for Euler–Maxwell equations with the critical regularity sc=5/2, that is, the extra higher regularity is not necessary.

本文言語英語
ページ(範囲)1537-1554
ページ数18
ジャーナルJournal of Mathematical Analysis and Applications
446
2
DOI
出版ステータス出版済み - 2 15 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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