Polynomial stability for a system of coupled strings
Abstract:
We study the long-time behavior of two vibrating strings which are coupled at a common boundary point by a damper. We show that the classical solutions converge polynomially with a uniform rate, where the decay exponent depends on number theoretic properties of the quotient of the wave speeds of the two springs. The proof is based on a resolvent characterization of polynomial stability due to Borichev–Tomilov and Batty–Duyckaerts.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2017 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-781860 KITopen-ID: 1000078186 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 20 S. |
| Serie | CRC 1173 ; 2017/35 |
| Schlagwörter | polynomial decay, boundary damping, resolvent bound, irrationality measure |