메뉴 건너뛰기




Volumn 32, Issue 1, 2002, Pages 1-26

On the lack of observability for wave equations: A Gaussian beam approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036814196     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (49)

References (18)
  • 1
    • 0003329037 scopus 로고
    • Hamiltonian theory of beam mode propagation
    • E. Wolf, ed., North-Holland
    • J.A. Arnaud, Hamiltonian theory of beam mode propagation, in: Progress in Optics, Vol. XI, E. Wolf, ed., North-Holland, 1973, pp. 249-304.
    • (1973) Progress in Optics , vol.11 , pp. 249-304
    • Arnaud, J.A.1
  • 2
    • 0041437512 scopus 로고    scopus 로고
    • The higher-dimensional WKB method or ray method
    • Springer
    • V.M. Babich, The higher-dimensional WKB method or ray method, in: Encyclopedia of Mathematical Sciences, Vol. 34, Springer, 1997, pp. 91-131.
    • (1997) Encyclopedia of Mathematical Sciences , vol.34 , pp. 91-131
    • Babich, V.M.1
  • 3
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary
    • C. Bardos, G. Lebeau and J. Rauch, Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Control Optim. 30(5) (1992), 1024-1065.
    • (1992) SIAM J. Control Optim. , vol.30 , Issue.5 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 4
    • 27844449058 scopus 로고    scopus 로고
    • Contrôlabilité exacte des ondes dans des ouverts peu réguliers
    • N. Burq, Contrôlabilité exacte des ondes dans des ouverts peu réguliers, Asymptotic Anal. 14 (1997), 157-191.
    • (1997) Asymptotic Anal. , vol.14 , pp. 157-191
    • Burq, N.1
  • 5
    • 0000469955 scopus 로고    scopus 로고
    • Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
    • N. Burq and P. Gérard, Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes, C. R. Acad. Sci. Paris Sér. I 325(7) (1997), 749-752.
    • (1997) C. R. Acad. Sci. Paris Sér. I , vol.325 , Issue.7 , pp. 749-752
    • Burq, N.1    Gérard, P.2
  • 6
    • 0012264883 scopus 로고    scopus 로고
    • Mesures de défaut de compacité et application au système de lamé
    • N. Burq and G. Lebeau, Mesures de défaut de compacité et application au système de Lamé, Ann. Sci. École Norm. Sup. 34(6) (2001), 817-870.
    • (2001) Ann. Sci. École Norm. Sup. , vol.34 , Issue.6 , pp. 817-870
    • Burq, N.1    Lebeau, G.2
  • 7
    • 0036025289 scopus 로고    scopus 로고
    • Concentration and lack of observability of waves in highly heterogeneous media
    • C. Castro and E. Zuazua, Concentration and lack of observability of waves in highly heterogeneous media, Arch. Rational Mech. Anal. 164(1) (2002), 39-72.
    • (2002) Arch. Rational Mech. Anal. , vol.164 , Issue.1 , pp. 39-72
    • Castro, C.1    Zuazua, E.2
  • 8
    • 0000786583 scopus 로고
    • The rate at which energy decays in a string damped at one end
    • S. Cox and E. Zuazua, The rate at which energy decays in a string damped at one end, Indiana Univ. Math. J. 44(2) (1995), 545-573.
    • (1995) Indiana Univ. Math. J. , vol.44 , Issue.2 , pp. 545-573
    • Cox, S.1    Zuazua, E.2
  • 9
    • 18044404633 scopus 로고    scopus 로고
    • Controllability of star-shaped networks of strings
    • R. Dáger and E. Zuazua, Controllability of star-shaped networks of strings, C. R. Acad. Sci. Paris Sér. I 332(7) (2001), 621-626.
    • (2001) C. R. Acad. Sci. Paris Sér. I , vol.332 , Issue.7 , pp. 621-626
    • Dáger, R.1    Zuazua, E.2
  • 10
    • 0000417698 scopus 로고    scopus 로고
    • Singular internal stabilization of the wave equation
    • S. Jaffard, M. Tucsnak and E. Zuazua, Singular internal stabilization of the wave equation, J. Differential Equations 145(1) (1998), 184-215.
    • (1998) J. Differential Equations , vol.145 , Issue.1 , pp. 184-215
    • Jaffard, S.1    Tucsnak, M.2    Zuazua, E.3
  • 11
    • 0001667261 scopus 로고
    • Reflection and transmission of high frequency pulses at an interface
    • G.A. Hagedorn and W.R.E. Weiss, Reflection and transmission of high frequency pulses at an interface, Transport Theory Statist. Phys. 14(5) (1985), 539-565.
    • (1985) Transport Theory Statist. Phys. , vol.14 , Issue.5 , pp. 539-565
    • Hagedorn, G.A.1    Weiss, W.R.E.2
  • 13
    • 84996133090 scopus 로고    scopus 로고
    • Boundary controllability in problems of transmission for a class of second order hyperbolic systems
    • J.E. Lagnese, Boundary controllability in problems of transmission for a class of second order hyperbolic systems, ESAIM: COCV 2 (1997), 343-358.
    • (1997) ESAIM: COCV , vol.2 , pp. 343-358
    • Lagnese, J.E.1
  • 14
    • 0033411689 scopus 로고    scopus 로고
    • Decay rates for the three-dimensional linear system of thermoelasticity
    • G. Lebeau and E. Zuazua, Decay rates for the three-dimensional linear system of thermoelasticity, Arch. Rational Mech. Anal. 148(3) (1999), 179-231.
    • (1999) Arch. Rational Mech. Anal. , vol.148 , Issue.3 , pp. 179-231
    • Lebeau, G.1    Zuazua, E.2
  • 16
    • 0034148496 scopus 로고    scopus 로고
    • Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary
    • L. Miller, Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary, J. Math. Pures Appl. 79(3) (2000), 227-269.
    • (2000) J. Math. Pures Appl. , vol.79 , Issue.3 , pp. 227-269
    • Miller, L.1
  • 17
    • 0000952462 scopus 로고
    • Gaussian beams and the propagation of singularities
    • Studies in Partial Differential Equations, W. Littman, ed., Washington
    • J. Ralston, Gaussian beams and the propagation of singularities, in: Studies in Partial Differential Equations, W. Littman, ed., MAA Studies in Mathematics, Vol. 23, Washington, 1982.
    • (1982) MAA Studies in Mathematics , vol.23
    • Ralston, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.