This paper deals with linear partial differential-algebraic equations (PDAEs) which have a hyperbolic part. If the spatial differential operator satisfies a Gårding-type inequality in a suitable function space setting, a perturbation index can be defined. Theoretical and practical examples are considered.
@article{bwmeta1.element.doi-10_2478_s11533-006-0035-4,
author = {Lutz Angermann and Joachim Rang},
title = {Perturbation index of linear partial differential-algebraic equations with a hyperbolic part},
journal = {Open Mathematics},
volume = {5},
year = {2007},
pages = {19-49},
zbl = {1120.35006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0035-4}
}
Lutz Angermann; Joachim Rang. Perturbation index of linear partial differential-algebraic equations with a hyperbolic part. Open Mathematics, Tome 5 (2007) pp. 19-49. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0035-4/
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