Advances in Differential Equations

Two direct proofs on the analyticity of the s.c. semigroup arising in abstract thermo-elastic equations

Irena Lasiecka and Roberto Triggiani

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Abstract

We provide two abstract direct proofs on the analyticity of the s.c. contraction semigroups, which arise in thermo-elastic systems under a variety of physical boundary conditions. A fortiori, the semigroups are then uniformly stable. Several examples illustrate the theory.

Article information

Source
Adv. Differential Equations Volume 3, Number 3 (1998), 387-416.

Dates
First available in Project Euclid: 19 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366399847

Mathematical Reviews number (MathSciNet)
MR1751950

Zentralblatt MATH identifier
0949.35135

Subjects
Primary: 47H20: Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07]
Secondary: 35L90: Abstract hyperbolic equations 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 74F05: Thermal effects 74H40: Long-time behavior of solutions

Citation

Lasiecka, Irena; Triggiani, Roberto. Two direct proofs on the analyticity of the s.c. semigroup arising in abstract thermo-elastic equations. Adv. Differential Equations 3 (1998), no. 3, 387--416. https://projecteuclid.org/euclid.ade/1366399847.


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