On higher index differential-algebraic equations in infinite dimensions
Classical Analysis and ODEs
2017-11-15 v2 Functional Analysis
Abstract
We consider initial value problems for differential-algebraic equations in a possibly infinite-dimensional Hilbert space. Assuming a growth condition for the associated operator pencil, we prove existence and uniqueness of solutions for arbitrary initial values in a distributional sense. Moreover, we construct a nested sequence of subspaces for initial values in order to obtain classical solutions.
Keywords
Cite
@article{arxiv.1710.08750,
title = {On higher index differential-algebraic equations in infinite dimensions},
author = {Sascha Trostorff and Marcus Waurick},
journal= {arXiv preprint arXiv:1710.08750},
year = {2017}
}
Comments
Revised version, minor corrections