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On a thermoelastic plate equation in an exterior domain

โœ Scribed by Yuko Enomoto

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
221 KB
Volume
25
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

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 highโ€frequency part and a precise expansion of the resolvent operator obtained by constructing the parametrix in order to treat the lowโ€frequency. Copyright ยฉ 2002 John Wiley & Sons, Ltd.

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