Abstract and Applied Analysis

Abstract and Applied Analysis / 1998 / Article

Open Access

Volume 3 |Article ID 428531 | 17 pages | https://doi.org/10.1155/S1085337598000487

Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.

Received03 Jan 1998

Abstract

We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary. We show that the corresponding s.c. contraction semigroup (on a natural energy space) is analytic and, hence, uniformly stable. Because of the boundary (high) coupling, this case of B.C. is not contained in, and is more challenging than, recent known cases of the literature [L-R.1], [L-L.1], [L-T.1].

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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