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

Authors

Irena Lasiecka, University of VirginiaFollow
Roberto Triggiani, University of Virginia

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.

Publication Title

Advances in Differential Equations

Recommended Citation

Lasiecka, I., & Triggiani, R. (1998). Two direct proofs on the analyticity of the s.c. semigroup arising in abstract thermo-elastic equations. Advances in Differential Equations, 3 (3), 387-416. Retrieved from https://digitalcommons.memphis.edu/facpubs/6018