Wang, Ruoyu PT;
(2020)
Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds.
arXiv.org: Ithaca (NY), USA.
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Abstract
We study the decay of the global energy for the damped Klein-Gordon equation on non-compact manifolds with finitely many cylindrical and subconic ends up to bounded perturbation. We prove that under the Geometric Control Condition, the decay is exponential, and that under the weaker Network Control Condition, the decay is logarithmic, by developing the global Carleman estimate with multiple weights.
| Type: | Working / discussion paper |
|---|---|
| Title: | Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.48550/arXiv.2004.13894 |
| Publisher version: | https://doi.org/10.48550/arXiv.2004.13894 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10173077 |
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