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Volumn 28, Issue 3, 1997, Pages 358-372

Spectral operators generated by damped hyperbolic equations

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EID: 0031446787     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01294159     Document Type: Article
Times cited : (33)

References (30)
  • 5
    • 0010757584 scopus 로고
    • Resonances in the scattering of acoustic waves by a spherical inhomogeneity of the density
    • M.A. Pekker (M.A. Shubov), Resonances in the Scattering of Acoustic Waves by a Spherical Inhomogeneity of the Density, Soviet Math. Dokl., 15 (1974), 1131-1134.
    • (1974) Soviet Math. Dokl. , vol.15 , pp. 1131-1134
    • Pekker, M.A.1    Shubov, M.A.2
  • 6
    • 0001468933 scopus 로고
    • Resonances in the scattering of acoustic waves by a spherical inhomogeneity of the density
    • M.A. Pekker (M.A. Shubov), Resonances in the Scattering of Acoustic Waves by a Spherical Inhomogeneity of the Density, Amer. Math. Soc. Transl. (2), 115 (1980), 143-163.
    • (1980) Amer. Math. Soc. Transl. (2) , vol.115 , pp. 143-163
    • Pekker, M.A.1    Shubov, M.A.2
  • 8
    • 84972496634 scopus 로고
    • Asymptotics of resonances and geometry of resonance states in the problem of scattering of acoustic waves by a spherically symmetric inhomogeneity of the density
    • M.A. Shubov, Asymptotics of Resonances and Geometry of Resonance States in the Problem of Scattering of Acoustic Waves by a spherically Symmetric Inhomogeneity of the Density, Differ. and Integ. Eq. V. 8, No. 5 (1995), 1073-1115.
    • (1995) Differ. and Integ. Eq. V. , vol.8 , Issue.5 , pp. 1073-1115
    • Shubov, M.A.1
  • 9
    • 0000786583 scopus 로고
    • The rate at which the energy decays in the string damped at one end
    • S. Cox and E. Zuazua, The Rate at Which the Energy Decays in the String Damped at One End, Indiana Univ. Math. J., 44 (1995), 545-573.
    • (1995) Indiana Univ. Math. J. , vol.44 , pp. 545-573
    • Cox, S.1    Zuazua, E.2
  • 10
    • 0001205277 scopus 로고
    • The rate at which the energy decays in a damped string
    • S. Cox and E. Zuazua, The Rate at Which the Energy Decays in a Damped String, Comm. P.D.E., 19 (1994), 213-243.
    • (1994) Comm. P.D.E. , vol.19 , pp. 213-243
    • Cox, S.1    Zuazua, E.2
  • 12
    • 0000654240 scopus 로고
    • Scattering theory for dissipative hyperbolic systems
    • P. Lax, R. Phillips, Scattering Theory for Dissipative Hyperbolic Systems, J. of Funct. Anal. 14 (1973), 172-235.
    • (1973) J. of Funct. Anal. , vol.14 , pp. 172-235
    • Lax, P.1    Phillips, R.2
  • 16
    • 0003227202 scopus 로고
    • Introduction to the spectral theory of polynomial operator pencils
    • A.S. Marcus, Introduction to the Spectral Theory of Polynomial Operator Pencils, Transl. of Math. Monographs. Vol. 71, 1988.
    • (1988) Transl. of Math. Monographs. , vol.71
    • Marcus, A.S.1
  • 17
    • 0000537098 scopus 로고    scopus 로고
    • Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string
    • M. A. Shubov, Basis Property of Eigenfunctions of Nonselfadjoint Operator Pencils Generated by the Equation of Nonhomogeneous Damped String, Integ. Eq. and Oper. Theory, Vol 25 (1996), 289-328.
    • (1996) Integ. Eq. and Oper. Theory , vol.25 , pp. 289-328
    • Shubov, M.A.1
  • 18
    • 85033090468 scopus 로고    scopus 로고
    • Asymptotics of resonances and eigenvalues for nonhomogeneous damped string
    • M.A. Shubov, Asymptotics of Resonances and Eigenvalues for Nonhomogeneous Damped String, to appear in Asymptotic Analysis.
    • Asymptotic Analysis
    • Shubov, M.A.1
  • 21
    • 0010722660 scopus 로고
    • Construction of resonance states for a three-dimensional Schrödinger operator
    • Leningrad University
    • M.A. Shubov, Construction of Resonance States for a Three-dimensional Schrödinger Operator, Problems of Mathematical Physics, Vol. 9, (1979) 145-180, Leningrad University.
    • (1979) Problems of Mathematical Physics , vol.9 , pp. 145-180
    • Shubov, M.A.1
  • 22
    • 0000937350 scopus 로고
    • Resonance selection principle for a three-dimensional Schrödinger operator
    • M.A. Shubov, Resonance Selection Principle for a Three-dimensional Schrödinger Operator, Proc. Steklov Inst. Math. 159 (1984), 181-195.
    • (1984) Proc. Steklov Inst. Math. , vol.159 , pp. 181-195
    • Shubov, M.A.1
  • 23
    • 0000937349 scopus 로고
    • Serial structure of resonances for the three-dimensional Schrödinger operator
    • M.A. Shubov, Serial Structure of Resonances for the Three-dimensional Schrödinger Operator, Proc. Steklov Inst. Math. 159, (1984) 197-217.
    • (1984) Proc. Steklov Inst. Math. , vol.159 , pp. 197-217
    • Shubov, M.A.1
  • 25
    • 0000893171 scopus 로고
    • Nonharmonic fourier series in the control theory of distributed parameter systems
    • D.L. Russell, Nonharmonic Fourier Series in the Control Theory of Distributed Parameter Systems, J. Math. Anal. Appl., 18 (1967), 542-559.
    • (1967) J. Math. Anal. Appl. , vol.18 , pp. 542-559
    • Russell, D.L.1
  • 26
    • 0000820706 scopus 로고
    • Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions
    • D.L. Russell, Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions, SIAM J. Contr. Opt., 20 (1978), 639-739.
    • (1978) SIAM J. Contr. Opt. , vol.20 , pp. 639-739
    • Russell, D.L.1
  • 27
    • 0023966723 scopus 로고
    • Exact controllability, stabilizability and perturbations for distributed systems
    • J.-L. Lions, Exact Controllability, Stabilizability and Perturbations for Distributed Systems, SIAM Rev. 30 (1988), 1-68.
    • (1988) SIAM Rev. , vol.30 , pp. 1-68
    • Lions, J.-L.1
  • 29
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary
    • C. Bardos, G. Lebeau, J. Rauch, Sharp Sufficient Conditions for the Observation, Control and Stabilization of Waves from the Boundary, SIAM J. Cont. Opt., 30 (1992), 1024-1065.
    • (1992) SIAM J. Cont. Opt. , vol.30 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 30
    • 85033090134 scopus 로고    scopus 로고
    • Exact boundary and bilinear controllability of nonhomogeneous damped string
    • M.A. Shubov, Exact Boundary and Bilinear Controllability of Nonhomogeneous Damped String. Submitted to SIAM J. Contr. Opt.
    • SIAM J. Contr. Opt.
    • Shubov, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.