%0 Journal Article
%T On Non-Autonomous Evolutionary Problems
%A Rainer Picard
%A Sascha Trostorff
%A Marcus Waurick
%A Maria Wehowski
%J Mathematics
%D 2013
%I arXiv
%X The paper extends well-posedness results of a previously explored class of time-shift invariant evolutionary problems to the case of non-autonomous media. The Hilbert space setting developed for the time-shift invariant case can be utilized to obtain an elementary approach to non-autonomous equations. The results cover a large class of evolutionary equations, where well-known strategies like evolution families may be difficult to use or fail to work. We exemplify the approach with an application to a Kelvin-Voigt-type model for visco-elastic solids.
%U http://arxiv.org/abs/1302.1304v1