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Volumn 57, Issue 2, 1998, Pages 278-292

The strong stability of a semigroup arising from a coupled hyperbolic/parabolic system

(2)  Avalos, George a   Lasiecka, Irena a  

a NONE

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[No Author keywords available]

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EID: 0000026765     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005977     Document Type: Article
Times cited : (47)

References (28)
  • 1
    • 84966249611 scopus 로고
    • Tauberian theorems and stability of one-parameter semigroups
    • ArendtΓ W. and C. J. K. BattyΓ Tauberian theorems and stability of one-parameter semigroupsΓTrans. Amer. Math. Soc. 306 No. 8 (1988)Γ837-852.
    • (1988) Trans. Amer. Math. Soc. , vol.306 , Issue.8 , pp. 837-852
    • Arendt, W.1    Batty, C.J.K.2
  • 2
    • 19644393475 scopus 로고    scopus 로고
    • Sharp regularity estimates for solutions of the wave equation and their traces with prescribed Neumann data
    • to appear
    • AvalosΓ G.Γ Sharp regularity estimates for solutions of the wave equation and their traces with prescribed Neumann dataΓ to appear in AMOΓ1996.
    • (1996) AMO
    • Avalos, G.1
  • 4
    • 0030369215 scopus 로고    scopus 로고
    • A differential Riccati equation for the active control of a problem in structural acoustics
    • to appear December
    • AvalosΓ G. and I. LasieckaΓ A differential Riccati equation for the active control of a problem in structural acousticsΓto appear in JOTAΓVol. 91Γ No. 3ΓDecember 1996.
    • (1996) JOTA , vol.91 , Issue.3
    • Avalos, G.1    Lasiecka, I.2
  • 6
    • 0003998553 scopus 로고
    • Feedback control of noise in a 2-D nonlinear structural acoustics model
    • BanksΓ H. T. and R. C. SimthΓ Feedback control of noise in a 2-D nonlinear structural acoustics modelΓDiscrete and Continuous Dynamical Systems Vol 1ΓNo. 1, (1995)Γ119-149.
    • (1995) Discrete and Continuous Dynamical Systems , vol.1 , Issue.1 , pp. 119-149
    • Banks, H.T.1    Simth, R.C.2
  • 8
    • 0000765901 scopus 로고
    • A note on the boundary stabilization of the wave equation
    • CheuΓ G.Γ A note on the boundary stabilization of the wave equationΓSIAM J. Contrl Optim. 19 (1981)Γ106-113.
    • (1981) SIAM J. Contrl Optim. , vol.19 , pp. 106-113
    • Cheu, G.1
  • 9
    • 84972562987 scopus 로고
    • Proof of extensions of two conjectures on structural damping for elastic systems
    • ChenΓ S. and R. TriggianiΓProof of extensions of two conjectures on structural damping for elastic systemsΓ Pacific J. Math. 136ΓNo. 1Γ(1989)Γ15-55.
    • (1989) Pacific J. Math. , vol.136 , Issue.1 , pp. 15-55
    • Chen, S.1    Triggiani, R.2
  • 10
    • 0000673777 scopus 로고
    • On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
    • DafermosΓ C.ΓOn the existence and the asymptotic stability of solutions to the equations of linear thermoelasticityΓArch. Rational Mech. Anal. 29 (1968)Γ 241-271.
    • (1968) Arch. Rational Mech. Anal. , vol.29 , pp. 241-271
    • Dafermos, C.1
  • 12
    • 0002317471 scopus 로고
    • Caracterization de qualques espaces d'interpolation
    • GrisvardΓ P.Γ Caracterization de qualques espaces d'interpolationΓArch. Rational Mechanics and Analysis 25 (1967)Γ40-63.
    • (1967) Arch. Rational Mechanics and Analysis , vol.25 , pp. 40-63
    • Grisvard, P.1
  • 13
    • 0000698319 scopus 로고
    • On the energy decay of a linear thermoelastic bar and plate
    • KimΓ J. U.ΓOn the energy decay of a linear thermoelastic bar and plateΓSIAM J. Math. Anal. 23 (1992)Γ889-899.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 889-899
    • Kim, J.U.1
  • 14
    • 0000881888 scopus 로고
    • Decay of solutions of wave equations in a bounded region with boundary dissipation
    • LagneseΓ J.Γ Decay of solutions of wave equations in a bounded region with boundary dissipationΓJ. Differential Equations 50 (1983)Γ163-182.
    • (1983) J. Differential Equations , vol.50 , pp. 163-182
    • Lagnese, J.1
  • 16
    • 0003343097 scopus 로고
    • Differential and algebraic Riccati equations with applications to boundary/point control problems: Continuous theory and approximation theory
    • Springer-Verlag
    • LasieckaΓ I. and R. TriggianiΓ"Differential and algebraic Riccati equations with applications to boundary/point control problems: continuous theory and approximation theory"Γ LNCISΓVol. 164ΓSpringer-VerlagΓ1991.
    • (1991) LNCIS , vol.164
    • Lasiecka, I.1    Triggiani, R.2
  • 17
    • 0002873055 scopus 로고
    • A note on the equations of a thermoelastic plate
    • LiuΓ Z. and M. RenardyΓ A note on the equations of a thermoelastic plateΓ Appl. Math. Lett. Vol. 8ΓNo. 3 (1995)Γ1-6.
    • (1995) Appl. Math. Lett. , vol.8 , Issue.3 , pp. 1-6
    • Liu, Z.1    Renardy, M.2
  • 18
    • 0001717627 scopus 로고
    • Exponential stability of the semigroup associated with a thermoelastic system
    • LiuΓ Z. and S. ZhengΓExponential stability of the semigroup associated with a thermoelastic systemΓQuarterly Appl. Math. Vol. LIΓNo. 3 (1993)Γ535-545.
    • (1993) Quarterly Appl. Math. , vol.51 , Issue.3 , pp. 535-545
    • Liu, Z.1    Zheng, S.2
  • 19
    • 84983196341 scopus 로고    scopus 로고
    • Exponential stability of the Kirchoff plate with thermal or viscoelastic damping
    • to appear
    • LiuΓ Z. and S. ZhengΓExponential stability of the Kirchoff plate with thermal or viscoelastic dampingΓto appear in Quarterly Appl. Math.
    • Quarterly Appl. Math.
    • Liu, Z.1    Zheng, S.2
  • 20
    • 0003090139 scopus 로고
    • Asymptotic stability of linear differential equations in Banach spaces
    • LyubichΓ Y. I. and V. Q. PhongΓ Asymptotic stability of linear differential equations in Banach spacesΓStudia MatematicaΓLXXXVIIΓ(1988)Γ37-42.
    • (1988) Studia Matematica , vol.87 , pp. 37-42
    • Lyubich, Y.I.1    Phong, V.Q.2
  • 21
    • 84976155603 scopus 로고
    • Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
    • QuinnΓ J. and D. RussellΓ Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping,Γ Proc. Roy. Soc. Edinburgh Sect. A 77 (1977)Γ97-127.
    • (1977) Proc. Roy. Soc. Edinburgh Sect. A , vol.77 , pp. 97-127
    • Quinn, J.1    Russell, D.2
  • 22
    • 0026300120 scopus 로고
    • Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
    • RackeΓ R. and Y. ShibataΓ Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticityΓ Arch. Rational Mech. Anal. 116 (1992)Γ1-34.
    • (1992) Arch. Rational Mech. Anal. , vol.116 , pp. 1-34
    • Racke, R.1    Shibata, Y.2
  • 23
    • 19644384916 scopus 로고    scopus 로고
    • Energy decay rate in linear thermoelasticity
    • to appear
    • RiveraΓ J. E. M.ΓEnergy decay rate in linear thermoelasticityΓto appear in Funkcial. Ekvac.
    • Funkcial. Ekvac.
    • Riveraj, E.M.1
  • 24
    • 0141647606 scopus 로고
    • On the exponential decay of the energy of a linear thermoelastic plate
    • ShibataΓ Y.ΓOn the exponential decay of the energy of a linear thermoelastic plateΓComp. Appl. Math. 13 (1994)Γ81-102.
    • (1994) Comp. Appl. Math. , vol.13 , pp. 81-102
    • Shibata, Y.1
  • 25
    • 0342715293 scopus 로고
    • Stabilization of boundary control systems
    • SlemrodΓ M.ΓStabilization of boundary control systemsΓJ. Differential Equations 22 (1976)Γ402-415.
    • (1976) J. Differential Equations , vol.22 , pp. 402-415
    • Slemrod, M.1
  • 26
    • 0019664632 scopus 로고
    • Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
    • SlemrodΓ M.Γ Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticityΓArch. Rational Mech. Anal. 76 (1981)Γ97-133.
    • (1981) Arch. Rational Mech. Anal. , vol.76 , pp. 97-133
    • Slemrod, M.1
  • 27
    • 38249023489 scopus 로고
    • Wave equation on a bounded domain with boundary dissipation: An operator approach
    • TriggianiΓ R.ΓWave equation on a bounded domain with boundary dissipation: an operator approachΓ J. Math. Anal. Appl. 137 (1989)Γ438-461.
    • (1989) J. Math. Anal. Appl. , vol.137 , pp. 438-461
    • Triggiani, R.1
  • 28
    • 0343866525 scopus 로고
    • Stabilization of boundary control systems
    • (A. Bensoussan and J.L. LionsΓ Eds.)Γ ΓSpringer-VerlagΓNew York/Berlin
    • ZabczykΓ J.Γ Stabilization of boundary control systemsΓ Lecture Notes in Control and Information SciencesΓ (A. Bensoussan and J.L. LionsΓ Eds.)Γ Vol. 14ΓSpringer-VerlagΓNew York/Berlin (1978).
    • (1978) Lecture Notes in Control and Information Sciences , vol.14
    • Zabczyk, J.1


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