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Polynomial stability for a system of coupled strings

Rzepnicki, Łukasz; Schnaubelt, Roland

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.

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Volltext §
DOI: 10.5445/IR/1000078186
Veröffentlicht am 21.12.2017
Seitenaufrufe: 10
seit 04.05.2018
Downloads: 20
seit 22.12.2017
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2017
Sprache Englisch
Identifikator ISSN: 2365-662X
KITopen-ID: 1000078186
Verlag KIT, Karlsruhe
Umfang 20 S.
Serie CRC 1173 ; 2017/35
Schlagworte polynomial decay, boundary damping, resolvent bound, irrationality measure
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