On a thermoelastic plate equation in an exterior domain

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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 languageEnglish
Pages (from-to)443-472
Number of pages30
JournalMathematical Methods in the Applied Sciences
Volume25
Issue number6
DOIs
Publication statusPublished - 2002 Apr 1

Keywords

  • Exterior domain
  • Local energy decay
  • Sobolev equation
  • Thermoelastic plate equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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