Open Access
1998 Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.
Irena Lasiecka, Roberto Triggiani
Abstr. Appl. Anal. 3(1-2): 153-169 (1998). DOI: 10.1155/S1085337598000487


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].


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Irena Lasiecka. Roberto Triggiani. "Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.." Abstr. Appl. Anal. 3 (1-2) 153 - 169, 1998.


Published: 1998
First available in Project Euclid: 8 April 2003

zbMATH: 0973.35184
MathSciNet: MR1700281
Digital Object Identifier: 10.1155/S1085337598000487

Primary: 35Q72
Secondary: 47D06 , 73B30 , 73K10

Keywords: coupled/hinged Neumann boundary conditions , Thermo-elastic semigroups

Rights: Copyright © 1998 Hindawi

Vol.3 • No. 1-2 • 1998
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