On a thermoelastic plate equation in an exterior domain

研究成果: Article査読

9 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)443-472
ページ数30
ジャーナルMathematical Methods in the Applied Sciences
25
6
DOI
出版ステータスPublished - 2002 4月 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 工学(全般)

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