Analyticity of thermo-elastic semigroups with free boundary conditions

Irena Lasiecka; Roberto Triggiani

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 27, Issue: 3-4, page 457-482
  • ISSN: 0391-173X

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Lasiecka, Irena, and Triggiani, Roberto. "Analyticity of thermo-elastic semigroups with free boundary conditions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 27.3-4 (1998): 457-482. <http://eudml.org/doc/84365>.

@article{Lasiecka1998,
author = {Lasiecka, Irena, Triggiani, Roberto},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {free coupled boundary conditions; analyticity; uniform stability; thermo-elastic plate system; semi-continuous contraction semigroup; energy space},
language = {eng},
number = {3-4},
pages = {457-482},
publisher = {Scuola normale superiore},
title = {Analyticity of thermo-elastic semigroups with free boundary conditions},
url = {http://eudml.org/doc/84365},
volume = {27},
year = {1998},
}

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
PB - Scuola normale superiore
VL - 27
IS - 3-4
SP - 457
EP - 482
LA - eng
KW - free coupled boundary conditions; analyticity; uniform stability; thermo-elastic plate system; semi-continuous contraction semigroup; energy space
UR - http://eudml.org/doc/84365
ER -

References

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  2. [G1] P. Grisvard, Caracterization de quelques espaces d'interpolation, Arch. Rational Mech. Anal.25 (1967), 40-63. Zbl0187.05901MR213864
  3. [Lag1] J. Lagnese, "Boundary Stabilization of Thin Plates", SIAM, Philadelphia, 1989. Zbl0696.73034MR1061153
  4. [Lag2] J. Lagnese, Uniform boundary stabilization of homogeneous, isotropic plates, Springer-Verlag LNCIS, 102 (1987), 204-215. Zbl0652.35029MR910523
  5. [Las1] I. Lasiecka, Control and stabilization of interactive structures, Systems and Control in the 21st Century, Birkhäuser (1997), 245-262. Zbl0867.93043MR1427786
  6. [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 Equations3 (1998), 387-416. Zbl0949.35135MR1751950
  7. [L-T2] I. Lasiecka - R. Triggiani, Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B. C., Abstr. Appl. Anal., to appear. Zbl0973.35184MR1700281
  8. [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. Zbl0990.74034MR1829930
  9. [L-T4] I. Lasiecka - R. Triggiani, Analyticity and lack thereof, of thermo-elastic semigroups, ESAIM to appear. Zbl0906.35018MR1663662
  10. [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. Zbl0961.93003
  11. [L-M1] J.L. Lions - E. Magenes, "Nonhomogeneous Boundary Value Problems and Applications I", 1972, Springer-Verlag. Zbl0223.35039
  12. [L-L1] K. Liu - Z. Liu, Exponential stability and analyticity of abstract linear thermo-elastic systems, preprint, December 1996. 
  13. [L-R1] Z. Liu - M. Renardy, A note on the equations of thermoelastic plate, Appl. Math. Let.8 (1995), 1-6. Zbl0826.35048MR1356798
  14. [P1] A. Pazy, "Semigroups of Linear Operators and Application to Partial Differential Equations", Springer-Verlag, 1983. Zbl0516.47023MR710486
  15. [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. Zbl0528.65052MR1479170

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