Analyticity and Riesz basis property of semigroups associated to damped vibrations
| dc.creator | Jacob, Birgit | |
| dc.creator | Trunk, Carsten | |
| dc.creator | Winklmeier, Monika | |
| dc.date | 2007-03-09 | |
| dc.date.accessioned | 2026-07-07T09:22:08Z | |
| dc.date.available | 2026-07-07T09:22:08Z | |
| dc.description | Second order equations of the form $z'' + A_0 z + D z'=0$ in an abstract Hilbert space are considered. Such equations are often used as a model for transverse motions of thin beams in the presence of damping. We derive various properties of the operator matrix $A$ associated with the second order problem above. We develop sufficient conditions for analyticity of the associated semigroup and for the existence of a Riesz basis consisting of eigenvectors and associated vectors of $A$ in the phase space. | |
| dc.identifier | https://arxiv.org/abs/math/0703247 | |
| dc.identifier | http://arxiv.org/abs/math/0703247 | |
| dc.identifier | J. Evol. Eq. (2008) | |
| dc.identifier | doi:10.1007/s00028-007-0351-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155274 | |
| dc.subject | Spectral Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 47A10, 47A70, 34G10, 47D06 | |
| dc.title | Analyticity and Riesz basis property of semigroups associated to damped vibrations | |
| dc.type | text |