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arXiv · 1905.11197

Semigroups associated with differential-algebraic equations

Sascha Trostorff
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Abstract

We consider differential-algebraic equations in infinite dimensional state spaces and study, under which conditions we can associate a $C_{0}$-semigroup with such equations. We determine the right space of initial values and characterise the existence of a $C_{0}$-semigroup in the case of operator pencils with polynomially bounded resolvents.

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Sascha Trostorff. 2019-05-27. Semigroups associated with differential-algebraic equations. https://arxiv.org/abs/1905.11197

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