Boundary Feedback Stabilization of a Vibrating String with an Interior Point Mass

Taylor, S.W.; Littman, W.

dc.contributor.author	Taylor, S.W.	en
dc.contributor.author	Littman, W.	en
dc.date.accessioned	2009-08-28T03:21:11Z	en
dc.date.available	2009-08-28T03:21:11Z	en
dc.date.issued	1999-03	en
dc.identifier.citation	Department of Mathematics - Research Reports-415 (1999)	en
dc.identifier.issn	1173-0889	en
dc.identifier.uri	http://hdl.handle.net/2292/5015	en
dc.description.abstract	We study the boundary feedback stabilization for a one-dimensional wave equation with an interior point mass. We show that if the initial data belong to a certain invariant subspace of the semigroup of operators that generates the solution of the system, then the energy will decay like $C/$time. This improves a result of Hansen and Zuazua cite{hansen} who consider decay of solutions belonging to the domain of a power of the infinitesimal generator of the semigroup.	en
dc.publisher	Department of Mathematics, The University of Auckland, New Zealand	en
dc.relation.ispartofseries	Research Reports - Department of Mathematics	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.source.uri	http://www.math.auckland.ac.nz/Research/Reports/view.php?id=415	en
dc.title	Boundary Feedback Stabilization of a Vibrating String with an Interior Point Mass	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::230000 Mathematical Sciences::230100 Mathematics	en
dc.rights.holder	The author(s)	en