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arXiv · 1302.1304

On Non-Autonomous Evolutionary Problems

Rainer Picard·Sascha Trostorff·Marcus Waurick·Maria Wehowski
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Abstract

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.

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Rainer Picard, Sascha Trostorff, Marcus Waurick, Maria Wehowski. 2013-02-06. On Non-Autonomous Evolutionary Problems. https://arxiv.org/abs/1302.1304

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