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Uniform stabilization of the Riemannian wave equation with linear lower order term.

Authors :
Hamchi, Ilhem
Source :
Bulletin of the Belgian Mathematical Society - Simon Stevin. Nov2012, Vol. 19 Issue 4, p633-647. 15p.
Publication Year :
2012

Abstract

The Riemannian wave equationwith linear lower order termand unspecified behavior of the nonlinear feedback is considered. Using themethod in [LT] we prove that the energy of the solution decays faster than the solution of some associated differential equation. The decay rate of a general second order hyperbolic equation with polynomial growth at the origin off is also discussed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13701444
Volume :
19
Issue :
4
Database :
Academic Search Index
Journal :
Bulletin of the Belgian Mathematical Society - Simon Stevin
Publication Type :
Academic Journal
Accession number :
85179063
Full Text :
https://doi.org/10.36045/bbms/1353695904