On the Weierstra{\ss} form of infinite dimensional differential algebraic equations
Analysis of PDEs
2024-07-16 v2 Functional Analysis
Abstract
The solvability for infinite dimensional differential algebraic equations possessing a resolvent index and a Weierstra{\ss} form is studied. In particular, the concept of integrated semigroups is used to determine a subset on which solutions exist and are unique. This information is later used for a important class of systems, namely, port-Hamiltonian differential algebraic equations.
Keywords
Cite
@article{arxiv.2402.17560,
title = {On the Weierstra{\ss} form of infinite dimensional differential algebraic equations},
author = {Mehmet Erbay and Birgit Jacob and Kirsten Morris},
journal= {arXiv preprint arXiv:2402.17560},
year = {2024}
}