Abstract
Obtained are the existence of solutions and the local energy decay of a linear thermoelastic plate equation in a 3 dim. exterior domain. The thermoplate equation is formulated as a Sobolev equation in the abstract framework. Our proof of the existence theorem is based on an argument due to Goldstein (Semigroups of Linear Operators and Applications. Oxford University Press: New York, 1985). To obtain the local energy decay, we use the commutation method in order to treat the high-frequency part and a precise expansion of the resolvent operator obtained by constructing the parametrix in order to treat the low-frequency.
| Original language | English |
|---|---|
| Pages (from-to) | 443-472 |
| Number of pages | 30 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 25 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2002 Apr |
| Externally published | Yes |
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Keywords
- Exterior domain
- Local energy decay
- Sobolev equation
- Thermoelastic plate equation
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
On a thermoelastic plate equation in an exterior domain. / Enomoto, Yuko.
In: Mathematical Methods in the Applied Sciences, Vol. 25, No. 6, 04.2002, p. 443-472.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On a thermoelastic plate equation in an exterior domain
AU - Enomoto, Yuko
PY - 2002/4
Y1 - 2002/4
N2 - Obtained are the existence of solutions and the local energy decay of a linear thermoelastic plate equation in a 3 dim. exterior domain. The thermoplate equation is formulated as a Sobolev equation in the abstract framework. Our proof of the existence theorem is based on an argument due to Goldstein (Semigroups of Linear Operators and Applications. Oxford University Press: New York, 1985). To obtain the local energy decay, we use the commutation method in order to treat the high-frequency part and a precise expansion of the resolvent operator obtained by constructing the parametrix in order to treat the low-frequency.
AB - Obtained are the existence of solutions and the local energy decay of a linear thermoelastic plate equation in a 3 dim. exterior domain. The thermoplate equation is formulated as a Sobolev equation in the abstract framework. Our proof of the existence theorem is based on an argument due to Goldstein (Semigroups of Linear Operators and Applications. Oxford University Press: New York, 1985). To obtain the local energy decay, we use the commutation method in order to treat the high-frequency part and a precise expansion of the resolvent operator obtained by constructing the parametrix in order to treat the low-frequency.
KW - Exterior domain
KW - Local energy decay
KW - Sobolev equation
KW - Thermoelastic plate equation
UR - http://www.scopus.com/inward/record.url?scp=0036530089&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036530089&partnerID=8YFLogxK
U2 - 10.1002/mma.290
DO - 10.1002/mma.290
M3 - Article
AN - SCOPUS:0036530089
VL - 25
SP - 443
EP - 472
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
SN - 0170-4214
IS - 6
ER -