Well-posedness for a general class of differential inclusions
Analysis of PDEs
2019-05-03 v2 Functional Analysis
Abstract
We consider an abstract class of differential inclusions, which covers differential-algebraic and non-autonomous problems as well as problems with delay. Under weak assumptions on the operators involved, we prove the well-posedness of those differential inclusions in a pure Hilbert space setting. Moreover, we study the causality of the associated solution operator. The theory is illustrated by an application to a semistatic quasilinear variant of Maxwell's equations.
Keywords
Cite
@article{arxiv.1808.00224,
title = {Well-posedness for a general class of differential inclusions},
author = {Sascha Trostorff},
journal= {arXiv preprint arXiv:1808.00224},
year = {2019}
}
Comments
revised version