| Title:
|
Logarithmic stabilization of the Kirchhoff plate transmission system with locally distributed Kelvin-Voigt damping (English) |
| Author:
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Hong, Gimyong |
| Author:
|
Hong, Hakho |
| Language:
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English |
| Journal:
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Applications of Mathematics |
| ISSN:
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0862-7940 (print) |
| ISSN:
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1572-9109 (online) |
| Volume:
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67 |
| Issue:
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1 |
| Year:
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2022 |
| Pages:
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21-47 |
| Summary lang:
|
English |
| . |
| Category:
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math |
| . |
| Summary:
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We are concerned with a transmission problem for the Kirchhoff plate equation where one small part of the domain is made of a viscoelastic material with the Kelvin-Voigt constitutive relation. We obtain the logarithmic stabilization result (explicit energy decay rate), as well as the wellposedness, for the transmission system. The method is based on a new Carleman estimate to obtain information on the resolvent for high frequency. The main ingredient of the proof is some careful analysis for the Kirchhoff transmission plate equation. (English) |
| Keyword:
|
transmission problem |
| Keyword:
|
Kirchhoff plate |
| Keyword:
|
Kelvin-Voigt damping |
| Keyword:
|
energy decay |
| Keyword:
|
Carleman estimate |
| MSC:
|
35L57 |
| MSC:
|
35Q74 |
| MSC:
|
74K20 |
| MSC:
|
74M05 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 07478515 |
| idMR:
|
MR4392403 |
| DOI:
|
10.21136/AM.2021.0104-20 |
| . |
| Date available:
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2022-02-08T10:47:34Z |
| Last updated:
|
2024-03-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149357 |
| . |
| Reference:
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