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arXiv · 1808.00224

Well-posedness for a general class of differential inclusions

Sascha Trostorff
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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.

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Sascha Trostorff. 2018-08-01. Well-posedness for a general class of differential inclusions. https://arxiv.org/abs/1808.00224

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