Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503038 | Journal of Mathematical Analysis and Applications | 2005 | 26 Pages |
Abstract
We study the asymptotic behavior of the solution of the Maxwell equations with the following boundary condition of memory type: (0.1)EÏ(t)=η0H(t)Ãn+â«0âη(s)H(tâs)Ãnds. We consider a 'Graffi' type free energy and we prove that, if the kernel η satisfies the condition ηâ³+κηâ²>0 and the domain Ω is strongly star shaped, then the energy of the solution exponentially decays. We also prove that the exponential decay of η is a necessary condition for the exponential decay of the solution.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Roberta Nibbi, Sergio Polidoro,