On a thermoelastic plate equation in an exterior domain | Zendy

Enomoto Yuko | Zendy

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On a thermoelastic plate equation in an exterior domain

Author(s) -

Enomoto Yuko

Publication year - 2002

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.290

Subject(s) - thermoelastic damping , mathematics , sobolev space , resolvent , mathematical analysis , domain (mathematical analysis) , parametrix , operator (biology) , energy method , order (exchange) , partial differential equation , first order partial differential equation , thermal , biochemistry , chemistry , physics , finance , repressor , meteorology , transcription factor , economics , gene

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. Copyright © 2002 John Wiley & Sons, Ltd.

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