Abstract and Applied Analysis
Volume 3 (1998), Issue 1-2, Pages 153-169
doi:10.1155/S1085337598000487
Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.
Department of Mathematics, Kerchof Hall, University of Virginia, Charlottesville 22903, VA, USA
Received 3 January 1998
Copyright © 1998 Irena Lasiecka and Roberto Triggiani. 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.
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].