Abstract
We prove a spectral mapping theorem for semigroups solving partial differential equations with nonautonomous past. This theorem is then used to give spectral conditions for the stability of the solutions of the equations.
Open Access
A spectral mapping theorem for semigroups solving PDEs with nonautonomous past
Received20 Jun 2002
Copyright
Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.