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 1 |
Externally published | Yes |
Keywords
- Exterior domain
- Local energy decay
- Sobolev equation
- Thermoelastic plate equation
ASJC Scopus subject areas
- Mathematics(all)
- Engineering(all)