Semigroups associated with differential-algebraic equations. (English) Zbl 1501.47072
Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 79-94 (2020).
Summary: 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.
For the entire collection see [Zbl 1446.47001].
For the entire collection see [Zbl 1446.47001].
MSC:
| 47D06 | One-parameter semigroups and linear evolution equations |
| 34A09 | Implicit ordinary differential equations, differential-algebraic equations |
Keywords:
differential-algebraic equations; \(C_0\)-semigroups; Wong sequence; operator pencil; polynomially bounded resolventReferences:
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