On higher index differential-algebraic equations in infinite dimensions

Trostorff, Sascha and Waurick, Marcus; Böttcher, Albrecht and Potts, Daniel and Stollmann, Peter and Wenzel, David, eds. (2018) On higher index differential-algebraic equations in infinite dimensions. In: The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, 268 . Springer, DEU, pp. 477-486. ISBN 9783319759951 (https://doi.org/10.1007/978-3-319-75996-8_27)

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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.

ORCID iDs

Waurick, Marcus ORCID: https://orcid.org/0000-0003-4498-3574

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  Item type:	Book Section
  ID code:	65305
  Dates:	Date Event 28 April 2018 Published 15 November 2017 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	29 Aug 2018 13:55
  Last modified:	11 Nov 2024 15:14
  Related URLs:	Related item Publisher
  URI:	https://strathprints.strath.ac.uk/id/eprint/65305