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Volumn 29, Issue 1, 1998, Pages 155-182

Exponential stability of a thermoelastic system with free boundary conditions without mechanical dissipation

Author keywords

Free boundary conditions; Thermoelastic plates; Uniform stability

Indexed keywords


EID: 0032340279     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141096300823     Document Type: Article
Times cited : (86)

References (27)
  • 1
    • 0000276432 scopus 로고    scopus 로고
    • The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics
    • G. AVALOS, The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics, Abstract Appl. Anal., 1 (1996), pp. 203-219.
    • (1996) Abstract Appl. Anal. , vol.1 , pp. 203-219
    • Avalos, G.1
  • 2
    • 0002377308 scopus 로고    scopus 로고
    • Rendiconti Di Instituto Di Matematica, an invited paper in a special issue honoring Pierre Grisvard; Rendiconti Di Instituto Di Matematica Dell'Universitá di Trieste, E. Mitidieri and Philippe Clement, eds.
    • G. AVALOS AND I. LASIECKA, Exponential stability of a thermoelastic system without mechanical dissipation, Rendiconti Di Instituto Di Matematica, an invited paper in a special issue honoring Pierre Grisvard; Rendiconti Di Instituto Di Matematica Dell'Universitá di Trieste, E. Mitidieri and Philippe Clement, eds., Suppl. Vol. XXVIII, 1997, p. 1-27.
    • (1997) Exponential Stability of a Thermoelastic System Without Mechanical Dissipation , vol.28 , Issue.SUPPL. , pp. 1-27
    • Avalos, G.1    Lasiecka, I.2
  • 5
    • 84983161196 scopus 로고    scopus 로고
    • Uniform decay rates for a nonlinear thermoelastic system
    • Brussels, Belgium
    • G. AVALOS AND I. LASIECKA, Uniform decay rates for a nonlinear thermoelastic system, in Proc. European Control Conference, Brussels, Belgium, 1997.
    • (1997) Proc. European Control Conference
    • Avalos, G.1    Lasiecka, I.2
  • 6
    • 11744330300 scopus 로고    scopus 로고
    • Uniform decay rates in nonlinear thermoelastic systems without mechanical dissipation
    • Gainesville, FL, Kluwer Academic Publishers, Norwell, MA, February
    • G. AVALOS AND I. LASIECKA, Uniform decay rates in nonlinear thermoelastic systems without mechanical dissipation, in Proc. IFIP WG 7.2 Conference on Optimal Control: Theory, Algorithms, and Applications, Gainesville, FL, Kluwer Academic Publishers, Norwell, MA, February 1997.
    • (1997) Proc. IFIP WG 7.2 Conference on Optimal Control: Theory, Algorithms, and Applications
    • Avalos, G.1    Lasiecka, I.2
  • 8
    • 0002317471 scopus 로고
    • Caracterization de quelques espaces d'interpolation
    • P. GRISVARD, Caracterization de quelques espaces d'interpolation, Arch. Rational Mech. Anal., 25 (1967), pp. 40-63.
    • (1967) Arch. Rational Mech. Anal. , vol.25 , pp. 40-63
    • Grisvard, P.1
  • 9
    • 0028467682 scopus 로고
    • Boundary control of a one-dimensional linear thermoelastic rod
    • S. HANSEN, Boundary control of a one-dimensional linear thermoelastic rod, SIAM J. Control Optim., 32 (1994), pp. 1052-1074.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1052-1074
    • Hansen, S.1
  • 10
    • 0000698319 scopus 로고
    • On the energy decay of a linear thermoelastic bar and plate
    • J. U. KIM, On the energy decay of a linear thermoelastic bar and plate, SIAM J. Math. Anal., 23 (1992), pp. 889-899.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 889-899
    • Kim, J.U.1
  • 11
    • 0003309317 scopus 로고
    • Exact controllability and stabilization: The multiplier method
    • John Wiley & Sons, New York
    • V. KOMORNIK, Exact controllability and stabilization: The multiplier method, Research in Applied Mathematics, John Wiley & Sons, New York, 1994.
    • (1994) Research in Applied Mathematics
    • Komornik, V.1
  • 12
    • 0003280914 scopus 로고
    • Boundary Stabilization of Thin Plates
    • SIAM, Philadelphia, PA
    • J. LAGNESE, Boundary Stabilization of Thin Plates, SIAM Stud. Appl. Math. 10, SIAM, Philadelphia, PA, 1989.
    • (1989) SIAM Stud. Appl. Math. , vol.10
    • Lagnese, J.1
  • 13
    • 0003278369 scopus 로고    scopus 로고
    • Control and stabilization of interactive structures
    • Birkhäuser Boston, Boston, MA
    • I. LASIECKA, Control and stabilization of interactive structures, in Systems and Control in the Twenty-First Century, Birkhäuser Boston, Boston, MA, 1997, pp. 245-263.
    • (1997) Systems and Control in the Twenty-First Century , pp. 245-263
    • Lasiecka, I.1
  • 15
    • 0026838533 scopus 로고
    • Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
    • I. LASIECKA AND R. TRIGGIANI, Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions, Appl. Math. Optim., 25 (1992), pp. 189-224.
    • (1992) Appl. Math. Optim. , vol.25 , pp. 189-224
    • Lasiecka, I.1    Triggiani, R.2
  • 16
    • 34249958940 scopus 로고
    • Sharp regularity theory for second-order hyperbolic equations of Neumann type
    • I. LASIECKA AND R. TRIGGIANI, Sharp regularity theory for second-order hyperbolic equations of Neumann type, Annali Mat. Pura & Appl. IV, 207 (1990), pp. 285-367.
    • (1990) Annali Mat. Pura & Appl. IV , vol.207 , pp. 285-367
    • Lasiecka, I.1    Triggiani, R.2
  • 17
    • 0000910737 scopus 로고
    • Recent advances in regularity of second-order hyperbolic mixed problems and applications
    • C. K. R. T. Jones, U. Kirchgraber, and H. O. Wather, eds., Springer-Verlag, New York
    • I. LASIECKA AND R. TRIGGIANI, Recent advances in regularity of second-order hyperbolic mixed problems and applications, in Dynamics Reported, Expositions in Dynamical Systems, C. K. R. T. Jones, U. Kirchgraber, and H. O. Wather, eds., Springer-Verlag, New York, 1994, pp. 104-162.
    • (1994) Dynamics Reported, Expositions in Dynamical Systems , pp. 104-162
    • Lasiecka, I.1    Triggiani, R.2
  • 20
    • 0002873055 scopus 로고
    • A note on the equations of a thermoelastic plate
    • Z. LIU AND M. RENARDY, A note on the equations of a thermoelastic plate, Appl. Math. Lett., 8 (1995), pp. 1-6.
    • (1995) Appl. Math. Lett. , vol.8 , pp. 1-6
    • Liu, Z.1    Renardy, M.2
  • 21
    • 0031232901 scopus 로고    scopus 로고
    • Exponential stability of the Kirchoff plate with thermal or viscoelastic damping
    • Z. LIU AND S. ZHENG, Exponential stability of the Kirchoff plate with thermal or viscoelastic damping, Quarterly Appl. Math., 55 (1997), pp. 551-564.
    • (1997) Quarterly Appl. Math. , vol.55 , pp. 551-564
    • Liu, Z.1    Zheng, S.2
  • 22
    • 0001717627 scopus 로고
    • Exponential stability of semigroup associated with a thermal elastic system
    • Z. LIU AND S. ZHENG, Exponential stability of semigroup associated with a thermal elastic system, Quarterly Appl. Math., 52 (1993), pp. 535-545.
    • (1993) Quarterly Appl. Math. , vol.52 , pp. 535-545
    • Liu, Z.1    Zheng, S.2
  • 23
    • 0030639992 scopus 로고    scopus 로고
    • Explicit exponential decay rates for solutions of von Karman's system of thermoelastic plates
    • G. PERLA MENZALA AND E. ZUAZUA, Explicit exponential decay rates for solutions of von Karman's system of thermoelastic plates, C.R. Acad. Sci. Paris, 324 (1997), pp. 49-54.
    • (1997) C.R. Acad. Sci. Paris , vol.324 , pp. 49-54
    • Perla Menzala, G.1    Zuazua, E.2
  • 24
    • 84972494575 scopus 로고
    • Boundary value control of thermoelastic systems
    • K. NARUKAWA, Boundary value control of thermoelastic systems, Hiroshima Math. J., 13 (1983), pp. 227-272.
    • (1983) Hiroshima Math. J. , vol.13 , pp. 227-272
    • Narukawa, K.1
  • 25
    • 0002764065 scopus 로고
    • Energy decay rate in linear thermoelasticity
    • J. E. M. RIVERA, Energy decay rate in linear thermoelasticity, Funkcial. Ekvac., 35 (1992), pp. 19-30.
    • (1992) Funkcial. Ekvac. , vol.35 , pp. 19-30
    • Rivera, J.E.M.1
  • 26
    • 85034302610 scopus 로고    scopus 로고
    • On the Regularity of Boundary Traces for the Wave Equation
    • to appear
    • D. TATARU, On the Regularity of Boundary Traces for the Wave Equation, Ann. Scuóla Normale, to appear.
    • Ann. Scuóla Normale
    • Tataru, D.1
  • 27
    • 85034298586 scopus 로고    scopus 로고
    • Analyticity and lack thereof, of thermo-elastic semigroups
    • CIRM, Luminy, France, June
    • I. LASIECKA and R. TRIGGIANI, Analyticity and lack thereof, of thermo-elastic semigroups, in Proc. Conference on Control of PDEs, CIRM, Luminy, France, June 1997.
    • (1997) Proc. Conference on Control of PDEs
    • Lasiecka, I.1    Triggiani, R.2


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