메뉴 건너뛰기




Volumn 33, Issue 10, 1997, Pages 1-9

Semigroups arising from elastic systems with dissipation

Author keywords

Dissipation; Elastic system; Self adjoint operator; Semigroup; Various properties

Indexed keywords

DIFFERENTIATION (CALCULUS); ELASTICITY; MATHEMATICAL TECHNIQUES;

EID: 0031128551     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(97)00072-2     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 84972562987 scopus 로고
    • Proof of extensions of two conjectures on structural damping for elastic systems: The case 1/2 ≤ α ≤ 1
    • S. Chen and R. Triggiani, Proof of extensions of two conjectures on structural damping for elastic systems: The case 1/2 ≤ α ≤ 1, Pacific J. Math. 136, 15-55, (1989).
    • (1989) Pacific J. Math. , vol.136 , pp. 15-55
    • Chen, S.1    Triggiani, R.2
  • 2
    • 84966211769 scopus 로고
    • Gevrey class semigroups arising from elastic systems with gentle dissipation: The case 0 < α < 1/2
    • S. Chen and R. Triggiani, Gevrey class semigroups arising from elastic systems with gentle dissipation: The case 0 < α < 1/2, Proc. Amer. Math. Soc. 110, 401-414, (1990).
    • (1990) Proc. Amer. Math. Soc. , vol.110 , pp. 401-414
    • Chen, S.1    Triggiani, R.2
  • 3
    • 0042172939 scopus 로고
    • Un remarque sur les applications du théorème de Hille-Yosida
    • J.L. Lions, Un remarque sur les applications du théorème de Hille-Yosida, J. Math. Soc. Japan 9, 62-70, (1957).
    • (1957) J. Math. Soc. Japan , vol.9 , pp. 62-70
    • Lions, J.L.1
  • 4
    • 0019898082 scopus 로고
    • A mathematical model for linear elastic systems with structural damping
    • G. Chen and D.L. Russell, A mathematical model for linear elastic systems with structural damping, Quart. Appl. Math. 39, 433-454, (1981/1982).
    • (1981) Quart. Appl. Math. , vol.39 , pp. 433-454
    • Chen, G.1    Russell, D.L.2
  • 6
    • 0001742402 scopus 로고
    • Conditions for parabolicity of second order abstract differential equations
    • A. Favini and E. Obrecht, Conditions for parabolicity of second order abstract differential equations, Differential Integral Equations 4, 1005-1020, (1991).
    • (1991) Differential Integral Equations , vol.4 , pp. 1005-1020
    • Favini, A.1    Obrecht, E.2
  • 7
    • 0040393118 scopus 로고
    • On the holomorphic property of the semigroup associated with linear elastic systems with structural damping
    • F.L. Huang, On the holomorphic property of the semigroup associated with linear elastic systems with structural damping, Acta Math. Sci. 5, 271-277, (1985).
    • (1985) Acta Math. Sci. , vol.5 , pp. 271-277
    • Huang, F.L.1
  • 8
    • 0024000819 scopus 로고
    • On the mathematical model for linear elastic systems with analytic damping
    • F.L. Huang, On the mathematical model for linear elastic systems with analytic damping, SIAM Control and Optimization 26, 714-724, (1988).
    • (1988) SIAM Control and Optimization , vol.26 , pp. 714-724
    • Huang, F.L.1
  • 9
    • 0030588753 scopus 로고    scopus 로고
    • Norm continuity (for t > 0) of propagators of arbitrary order abstract differential equations in Hilbert spaces
    • J. Liang and T.J. Xiao, Norm continuity (for t > 0) of propagators of arbitrary order abstract differential equations in Hilbert spaces, J. Math. Anal. Appl. 204, 124-137, (1996).
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 124-137
    • Liang, J.1    Xiao, T.J.2
  • 10
    • 0042172924 scopus 로고
    • Classification and wellposedness of the Cauchy problem for second-order equations in a Banach space
    • I.V. Mel'nikova and A.I. Filinkov, Classification and wellposedness of the Cauchy problem for second-order equations in a Banach space, Soviet Math. Dokl. 29, 646-651, (1984).
    • (1984) Soviet Math. Dokl. , vol.29 , pp. 646-651
    • Mel'nikova, I.V.1    Filinkov, A.I.2
  • 11
    • 0042674086 scopus 로고
    • The connection between well-posedness of the Cauchy problem for an equation and for a system in a Banach space
    • I.V. Mel'nikova and A.I. Filinkov, The connection between well-posedness of the Cauchy problem for an equation and for a system in a Banach space, Soviet Math. Dokl. 37, 647-651, (1988).
    • (1988) Soviet Math. Dokl. , vol.37 , pp. 647-651
    • Mel'nikova, I.V.1    Filinkov, A.I.2
  • 12
    • 51249175702 scopus 로고
    • Integrated semigroups and their applications to complete second order problems
    • F. Neubrander, Integrated semigroups and their applications to complete second order problems, Semigroup Forum 38, 233-251, (1989).
    • (1989) Semigroup Forum , vol.38 , pp. 233-251
    • Neubrander, F.1
  • 13
    • 0043175161 scopus 로고
    • Problème de Cauchy pour équations hyperboliques opérationnelles a coefficients constants non-bornés
    • M. Sova, Problème de Cauchy pour équations hyperboliques opérationnelles a coefficients constants non-bornés, Ann. Scuola Norm. Sup. Pisa 22, 67-100, (1968).
    • (1968) Ann. Scuola Norm. Sup. Pisa , vol.22 , pp. 67-100
    • Sova, M.1
  • 14
    • 0007249685 scopus 로고
    • Abstract vibrating systems
    • B. Weiss, Abstract vibrating systems, J. Math. Mech. 17, 241-255, (1967).
    • (1967) J. Math. Mech. , vol.17 , pp. 241-255
    • Weiss, B.1
  • 15
    • 84973998961 scopus 로고
    • On complete second order linear differential equations in Banach spaces
    • T.J. Xio (Xiao) and J. Liang, On complete second order linear differential equations in Banach spaces, Pacific J. Math. 142, 175-195, (1990).
    • (1990) Pacific J. Math. , vol.142 , pp. 175-195
    • Xio, T.J.1    Liang, J.2
  • 16
    • 84968519572 scopus 로고
    • A note on the propagators of second order linear differential equations in Hilbert spaces
    • T.J. Xio (Xiao) and J. Liang, A note on the propagators of second order linear differential equations in Hilbert spaces, Proc. Amer. Math. Soc. 113, 663-667, (1991).
    • (1991) Proc. Amer. Math. Soc. , vol.113 , pp. 663-667
    • Xio, T.J.1    Liang, J.2
  • 17
    • 0042674087 scopus 로고
    • Wellposedness and exponential growth property of a class of complete second order linear differential equations
    • T.J. Xiao and J. Liang, Wellposedness and exponential growth property of a class of complete second order linear differential equations, J. Sichuan Uni. (Sichuan Daxue Xuebao) 27, 396-401, (1990).
    • (1990) J. Sichuan Uni. (Sichuan Daxue Xuebao) , vol.27 , pp. 396-401
    • Xiao, T.J.1    Liang, J.2
  • 18
    • 38249011547 scopus 로고
    • Complete second order linear differential equations with almost periodic solutions
    • T.J. Xio (Xiao) and J. Liang, Complete second order linear differential equations with almost periodic solutions, J. Math. Anal. Appl. 163, 136-146, (1992).
    • (1992) J. Math. Anal. Appl. , vol.163 , pp. 136-146
    • Xio, T.J.1    Liang, J.2
  • 19
    • 51249164851 scopus 로고
    • Analyticity of the propagators of second order linear differential equations in Banach spaces
    • T.J. Xio (Xiao) and J. Liang, Analyticity of the propagators of second order linear differential equations in Banach spaces, Semigroup Forum 44, 356-363, (1992).
    • (1992) Semigroup Forum , vol.44 , pp. 356-363
    • Xio, T.J.1    Liang, J.2
  • 22
    • 84966220308 scopus 로고
    • 0-semigroup with continuity in the uniform operator tolopogy for t > 0 in Hilbert space
    • 0-semigroup with continuity in the uniform operator tolopogy for t > 0 in Hilbert space, Proc. Amer. Math. Soc. 116, 991-997, (1992).
    • (1992) Proc. Amer. Math. Soc. , vol.116 , pp. 991-997
    • You, P.H.1
  • 24
    • 0000374811 scopus 로고
    • Characteristic conditions for exponential stability of linear dynamical systems in Hilbert spaces
    • F.L. Huang, Characteristic conditions for exponential stability of linear dynamical systems in Hilbert spaces, Ann. of Diff. Eqs. 1, 43-56, (1985).
    • (1985) Ann. of Diff. Eqs. , vol.1 , pp. 43-56
    • Huang, F.L.1
  • 25
    • 0003207468 scopus 로고
    • One-parameter semigroups of positive operators
    • Springer-Verlag, New York
    • R. Nagel, Editor, One-parameter semigroups of positive operators, Lect. Notes Math., Volume 1184, Springer-Verlag, New York, (1986).
    • (1986) Lect. Notes Math. , vol.1184
    • Nagel, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.