Well-posedness of Non-autonomous Evolutionary Inclusions
Analysis of PDEs
2014-03-07 v1 Functional Analysis
Abstract
A class of non-autonomous differential inclusions in a Hilbert space setting is considered. The well-posedness for this class is shown by establishing the mappings involved as maximal monotone relations. Moreover, the causality of the so established solution operator is addressed. The results are exemplified by the equations of thermoplasticity with time dependent coefficients and by a non-autonomous version of the equations of viscoplasticity with internal variables.
Cite
@article{arxiv.1307.2074,
title = {Well-posedness of Non-autonomous Evolutionary Inclusions},
author = {Sascha Trostorff and Maria Wehowski},
journal= {arXiv preprint arXiv:1307.2074},
year = {2014}
}