Semigroups associated with differential-algebraic equations

2019/05/27 by Trostorff, Sascha · 3 citations
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1905.11197

Abstract

We consider differential-algebraic equations in infinite dimensional state spaces and study, under which conditions we can associate a C₀-semigroup with such equations. We determine the right space of initial values and characterise the existence of a C₀-semigroup in the case of operator pencils with polynomially bounded resolvents.

Cited by

• Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation
• Differential algebraic system nodes
• Integrated Semigroups for abstract differential-algebraic equations

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