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

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Abstract

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.

Original languageEnglish
Pages (from-to)1537-1554
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume446
Issue number2
DOIs
Publication statusPublished - 2017 Feb 15
Externally publishedYes

Keywords

  • Critical Besov spaces
  • Euler–Maxwell equations
  • Frequency-localization
  • Minimal decay regularity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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