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Eurasian Mathematical Journal, 2013, Volume 4, Number 3, Pages 84–106 (Mi emj135)  
This article is cited in 8 scientific papers (total in 8 papers)

Qualitative properties of structurally damped wave models

S. Matthesa, M. Reissigb

a Institute of Ceramic, Glass and Construction Materials, Technische Universität Bergakademie Freiberg, 09596 Freiberg, Germany
b Department of Mathematics and Informatics, Technische Universität Bergakademie Freiberg, 09596 Freiberg, Germany
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Abstract: Qualitative properties such as precise decay estimates for energies of higher order and smoothing effects for a special class of structurally damped wave models are investigated in this paper. The main tools are diagonalization techniques and the theory of zones in the extended phase space. Some special effects for visco-elastic damped wave models are explained. These models are limit cases of structurally damped wave models interpolating between classical damped waves and visco-elastic waves.
Keywords and phrases: structurally damped waves, energies of higher order, smoothing effect, WKB analysis, scattering states.
Received: 30.07.2012
Document Type: Article
MSC: 35B40, 35M20, 74D99
Language: English
Citation: S. Matthes, M. Reissig, “Qualitative properties of structurally damped wave models”, Eurasian Math. J., 4:3 (2013), 84–106
Citation in format AMSBIB
\Bibitem{MatRei13}
\by S.~Matthes, M.~Reissig
\paper Qualitative properties of structurally damped wave models
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 3
\pages 84--106
\mathnet{http://mi.mathnet.ru/emj135}
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  • https://www.mathnet.ru/eng/emj/v4/i3/p84
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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