English

Semigroups associated with differential-algebraic equations

Functional Analysis 2020-01-07 v2

Abstract

We consider differential-algebraic equations in infinite dimensional state spaces and study, under which conditions we can associate a C0C_{0}-semigroup with such equations. We determine the right space of initial values and characterise the existence of a C0C_{0}-semigroup in the case of operator pencils with polynomially bounded resolvents.

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Cite

@article{arxiv.1905.11197,
  title  = {Semigroups associated with differential-algebraic equations},
  author = {Sascha Trostorff},
  journal= {arXiv preprint arXiv:1905.11197},
  year   = {2020}
}

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R2 v1 2026-06-23T09:26:29.492Z