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arXiv · 1710.08750

On higher index differential-algebraic equations in infinite dimensions

Sascha Trostorff·Marcus Waurick
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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.

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Sascha Trostorff, Marcus Waurick. 2017-10-24. On higher index differential-algebraic equations in infinite dimensions. https://arxiv.org/abs/1710.08750

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