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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Xu, Jiang¹  Kawashima, Shuichi² 

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Jiangsu, Peoples R China

[2] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

关键词: Frequency-localization;    Minimal decay regularity;    Critical Besov spaces;    Euler-Maxwell equations;   

DOI  :  10.1016/j.jmaa.2016.09.058

来源: Elsevier

【 摘 要 】

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 L-1(R-3)-L-2(R-3) is available for Euler-Maxwell equations with the critical regularity s(c) = 5/2, that is, the extra higher regularity is not necessary. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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