Estimation of Decay of the Solutions of Initial-Boundary-Value Problem for the System of Semilinear Equations of Magnetoelasticity in Exterior Domains

Resumo

We study the behavior as t → ∞ of strong solutions of the initial-boundary-value problem for the system of semilinear equations of magnetoelasticity in exterior domains. For the vectors of magnetic induction and displacements, the estimates of decay are obtained in L^∞ and in the Sobolev spaces of fractional order, respectively.