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)

Preview

Text. Filename: Trostorff_Waurick_Springer_2018_On_higher_index_differential_algebraic_equations_in_infinite_dimensions.pdf Accepted Author Manuscript Download (138kB)| Preview

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

• Share and Export
  

  RDF+XMLBibTeXRIOXX2 XMLRDF+N-TriplesJSONDublin CoreAtomSimple MetadataReferMETSHTML CitationASCII CitationOpenURL ContextObjectEndNoteOpenURL ContextObject in SpanMODSMPEG-21 DIDLEP3 XMLData Cite XMLRIS (EndNote Online, Zotero, Ref manager, etc)RDF+N3Multiline CSV
• Item metadata

  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