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- Publisher
- Springer Journals
- Copyright
- 2006 Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0025-5874
- eISSN
- 1432-1823
- DOI
- 10.1007/s00209-005-0925-3
- Publisher site
- See Article on Publisher Site
Abstract
Abstract In analogy to a characterisation of operator matrices generating C 0-semigroups due to R. Nagel ([13]), we give conditions on its entries in order that a 2×2 operator matrix generates a cosine operator function. We apply this to systems of wave equations, to second order initial-boundary value problems, and to overdamped wave equations.
Journal
Mathematische Zeitschrift – Springer Journals
Published: Aug 1, 2006