Decay Property of Regularity-loss Type for the Euler-Maxwell System

• Autores: Yoshihiro Ueda, Shuichi Kawashima
• Localización: Methods and applications of analysis, ISSN 1073-2772, Vol. 18, Nº 3, 2011, págs. 245-268
• Idioma: inglés
• DOI: 10.4310/maa.2011.v18.n3.a1
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• Resumen

  • We study the decay property for the Euler-Maxwell system in R3 and observe that it is of the regularity-loss type. We show that the solution decays at the rate t-3/4 as t ! 1, provided that the initial data are in Hs \ L1 with enough regularity s  6. The proof is based on the time weighted energy method combined with the semigroup approach.