Analyticity of thermo-elastic semigroups with free boundary conditions
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 27 (1998) no. 3-4, pp. 457-482.
@article{ASNSP_1998_4_27_3-4_457_0,
     author = {Lasiecka, Irena and Triggiani, Roberto},
     title = {Analyticity of thermo-elastic semigroups with free boundary conditions},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {457--482},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 27},
     number = {3-4},
     year = {1998},
     mrnumber = {1678002},
     zbl = {0954.74029},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1998_4_27_3-4_457_0/}
}
TY  - JOUR
AU  - Lasiecka, Irena
AU  - Triggiani, Roberto
TI  - Analyticity of thermo-elastic semigroups with free boundary conditions
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1998
SP  - 457
EP  - 482
VL  - 27
IS  - 3-4
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1998_4_27_3-4_457_0/
LA  - en
ID  - ASNSP_1998_4_27_3-4_457_0
ER  - 
%0 Journal Article
%A Lasiecka, Irena
%A Triggiani, Roberto
%T Analyticity of thermo-elastic semigroups with free boundary conditions
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1998
%P 457-482
%V 27
%N 3-4
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1998_4_27_3-4_457_0/
%G en
%F ASNSP_1998_4_27_3-4_457_0
Lasiecka, Irena; Triggiani, Roberto. Analyticity of thermo-elastic semigroups with free boundary conditions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 27 (1998) no. 3-4, pp. 457-482. http://www.numdam.org/item/ASNSP_1998_4_27_3-4_457_0/

[B-S1] S. Brenner - L.R. Scott, "The Mathematical Theory of Finite Element Methods", TAM 15, Springer-Verlag, 1994. | MR | Zbl

[G1] P. Grisvard, Caracterization de quelques espaces d'interpolation, Arch. Rational Mech. Anal. 25 (1967), 40-63. | MR | Zbl

[Lag1] J. Lagnese, "Boundary Stabilization of Thin Plates", SIAM, Philadelphia, 1989. | MR | Zbl

[Lag2] J. Lagnese, Uniform boundary stabilization of homogeneous, isotropic plates, Springer-Verlag LNCIS, 102 (1987), 204-215. | MR | Zbl

[Las1] I. Lasiecka, Control and stabilization of interactive structures, Systems and Control in the 21st Century, Birkhäuser (1997), 245-262. | MR | Zbl

[L-T1] I. Lasiecka - R. Triggiani, Two direct proofs on the analyticity of the s.c. semigroup arising in abstract thermo-elastic equations, Adv. Differential Equations 3 (1998), 387-416. | MR | Zbl

[L-T2] I. Lasiecka - R. Triggiani, Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B. C., Abstr. Appl. Anal., to appear. | MR | Zbl

[L-T3] I. Lasiecka - R. Triggiani, Structural decomposition of thermo-elastic semigroups with rotational forces, IFIP Workshop, University of Floriday, February 1997, Semigroup Forum, to appear. | MR | Zbl

[L-T4] I. Lasiecka - R. Triggiani, Analyticity and lack thereof, of thermo-elastic semigroups, ESAIM to appear. | MR | Zbl

[L-T5] I. Lasiecka - R. Triggiani, "Control Theory for Partial Differential Equations: continuous and Approximation Theories", Cambridge University Press, Encyclopedia of Mathematics and its Applications, in press to appear in 1999. | Zbl

[L-M1] J.L. Lions - E. Magenes, "Nonhomogeneous Boundary Value Problems and Applications I", 1972, Springer-Verlag. | Zbl

[L-L1] K. Liu - Z. Liu, Exponential stability and analyticity of abstract linear thermo-elastic systems, preprint, December 1996.

[L-R1] Z. Liu - M. Renardy, A note on the equations of thermoelastic plate, Appl. Math. Let. 8 (1995), 1-6. | MR | Zbl

[P1] A. Pazy, "Semigroups of Linear Operators and Application to Partial Differential Equations", Springer-Verlag, 1983. | MR | Zbl

[Th1] V. Thomee, "Galerkin Finite Element Methods for Parabolic Problems", Lecture Notes in Math., Vol. 1054, Springer, Berlin, 1984. Expanded version reprinted as a Springer-Verlag's book, 1997. | MR | Zbl