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

Yoshihiro Ueda, Shuichi Kawashima

• 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.