Polynomial stabilization of some dissipative hyperbolic systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00429223" target="_blank" >RIV/67985840:_____/14:00429223 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcds.2014.34.4371" target="_blank" >http://dx.doi.org/10.3934/dcds.2014.34.4371</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2014.34.4371" target="_blank" >10.3934/dcds.2014.34.4371</a>

Result language
angličtina
Original language name
Polynomial stabilization of some dissipative hyperbolic systems
Original language description
We study the problem of stabilization for the acoustic system with a spatially distributed damping. Imposing various hypotheses on the structural properties of the damping term, we identify either exponential or polynomial decay of solutions with growingtime. Exponential decay rate is shown by means of a time domain approach, reducing the problem to an observability inequality to be veri ed for solutions of the associated conservative problem. In addition, we show a polynomial stabilization result, where the proof uses a frequency domain method and combines a contradiction argument with the multiplier technique to carry out a special analysis for the resolvent.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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