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Volumn 254, Issue 4, 2006, Pages 729-749

Stabilization and control for the nonlinear Schrödinger equation on a compact surface

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EID: 33749642834     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-006-0005-3     Document Type: Article
Times cited : (110)

References (21)
  • 1
    • 0033074557 scopus 로고    scopus 로고
    • High frequency approximation of critical nonlinear wave equations
    • Bahouri, H., Gérard, P.: High frequency approximation of critical nonlinear wave equations. Am. J. Math. 121, 131-175 (1999)
    • (1999) Am. J. Math. , vol.121 , pp. 131-175
    • Bahouri, H.1    Gérard, P.2
  • 2
    • 0346190200 scopus 로고    scopus 로고
    • Mesures de défaut: Observation et contrôle de plaques
    • Bardos, C., Masrour, T.: Mesures de défaut: observation et contrôle de plaques. C.R.A.S, SérieI, t. 323, 621-626 (1996)
    • (1996) C.R.A.S, SérieI , vol.323 , pp. 621-626
    • Bardos, C.1    Masrour, T.2
  • 3
    • 0026923885 scopus 로고
    • Sharp sufficient conditions for the observation, control and stabilisation of waves from the boundary
    • Bardos, C., Lebeau, G., Rauch, J.: Sharp sufficient conditions for the observation, control and stabilisation of waves from the boundary. SIAM J. Control Optim. 305, 1024-1065 (1992)
    • (1992) SIAM J. Control Optim. , vol.305 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 4
    • 0003369859 scopus 로고
    • Propagation des singularités des solutions d'équations analogues à celles de Schrödinger
    • Fourier Integral Operators and Partial Differential Equations. Springer, Berlin Heidelberg New York
    • Boutet de Monvel, L.: Propagation des singularités des solutions d'équations analogues à celles de Schrödinger. In: Fourier Integral Operators and Partial Differential Equations. Lecture Notes in Mathematics, vol. 459, pp 1-14. Springer, Berlin Heidelberg New York, (1975)
    • (1975) Lecture Notes in Mathematics , vol.459 , pp. 1-14
    • Boutet De Monvel, L.1
  • 5
    • 1842843728 scopus 로고    scopus 로고
    • Geometric control in the presence of a black box
    • Burq, N., Zworski, M.: Geometric control in the presence of a black box. J. Am. Math. Soc. 17(2), 443-471 (2004)
    • (2004) J. Am. Math. Soc. , vol.17 , Issue.2 , pp. 443-471
    • Burq, N.1    Zworski, M.2
  • 6
    • 2942564358 scopus 로고    scopus 로고
    • Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds
    • Burq, N., Gérard, P., Tzvetzkov, N.: Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Am. J. Maths. 126, 569-605 (2004)
    • (2004) Am. J. Maths. , vol.126 , pp. 569-605
    • Burq, N.1    Gérard, P.2    Tzvetzkov, N.3
  • 7
    • 0141688172 scopus 로고    scopus 로고
    • Stabilization and control for the subcritical semilinear wave equation
    • Dehman, B., Lebeau, G., Zuazua, E.: Stabilization and control for the subcritical semilinear wave equation. Anna. Sci. Ec. Norm. Super. 36, 525-551 (2003)
    • (2003) Anna. Sci. Ec. Norm. Super. , vol.36 , pp. 525-551
    • Dehman, B.1    Lebeau, G.2    Zuazua, E.3
  • 8
    • 84974774417 scopus 로고
    • Résultats de contrôlabilité interne pour l'équation de Schrödinger et leurs limites asymptotiques: Application à certaines équations de plaques vibrantes
    • Fabre, C.: Résultats de contrôlabilité interne pour l'équation de Schrödinger et leurs limites asymptotiques: application à certaines équations de plaques vibrantes. Asymptotic Anal. 5, 343-379 (1992)
    • (1992) Asymptotic Anal. , vol.5 , pp. 343-379
    • Fabre, C.1
  • 9
    • 0001342333 scopus 로고
    • Microlocal defect measures
    • Gérard, P.: Microlocal defect measures. Commun. Partial Diff. Eq. 16, 1762-1794 (1991)
    • (1991) Commun. Partial Diff. Eq. , vol.16 , pp. 1762-1794
    • Gérard, P.1
  • 10
    • 0030579045 scopus 로고    scopus 로고
    • Oscillation and concentration effects in semilinear dispersive wave equations
    • Gérard, P.: Oscillation and concentration effects in semilinear dispersive wave equations. J. Funct. Anal. 41(1), 60-98 (1996)
    • (1996) J. Funct. Anal. , vol.41 , Issue.1 , pp. 60-98
    • Gérard, P.1
  • 12
    • 0001321202 scopus 로고
    • Contrôle interne exact des vibrations d'une plaque rectangulaire
    • Jaffard, S.: Contrôle interne exact des vibrations d'une plaque rectangulaire. Portugal Math. 47(4), 423-429 (1990)
    • (1990) Portugal Math. , vol.47 , Issue.4 , pp. 423-429
    • Jaffard, S.1
  • 13
    • 11844267209 scopus 로고    scopus 로고
    • Dispersive estimates for principally normal pseudodifferential operators
    • Koch, H., Tataru, D.: Dispersive estimates for principally normal pseudodifferential operators. Commun. Pure Appl. Math. 58(2), 217-284 (2005)
    • (2005) Commun. Pure Appl. Math. , vol.58 , Issue.2 , pp. 217-284
    • Koch, H.1    Tataru, D.2
  • 14
    • 0001776327 scopus 로고
    • Propagation des singularités des solutions d'équations pseudo-différentielles quasihomogènes
    • Grenoble
    • Lascar, R.: Propagation des singularités des solutions d'équations pseudo-différentielles quasihomogènes, Ann. Inst. Fourier, Grenoble 27(2), 79-123 (1977)
    • (1977) Ann. Inst. Fourier , vol.27 , Issue.2 , pp. 79-123
    • Lascar, R.1
  • 15
    • 84972514083 scopus 로고
    • Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control
    • Lasiecka, I., Triggiani, R.: Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control. Diff. Integral Eq. 5, 521-535 (1992)
    • (1992) Diff. Integral Eq. , vol.5 , pp. 521-535
    • Lasiecka, I.1    Triggiani, R.2
  • 16
    • 0000977450 scopus 로고
    • Contrôle de l'équation de Schrödinger
    • Lebeau, G.: Contrôle de l'équation de Schrödinger. J. Math. Pures Appl. 71, 267-291 (1992)
    • (1992) J. Math. Pures Appl. , vol.71 , pp. 267-291
    • Lebeau, G.1
  • 17
    • 3042539175 scopus 로고    scopus 로고
    • How violent are fast controls for Schrödinger and plate vibrations?
    • Miller, L.: How violent are fast controls for Schrödinger and plate vibrations? Arch. Ration. Mech. Anal. 172, 429-456 (2004)
    • (2004) Arch. Ration. Mech. Anal. , vol.172 , pp. 429-456
    • Miller, L.1
  • 18
    • 11044238391 scopus 로고    scopus 로고
    • Controllability cost of conservative systems: Resolvent condition and transmutation
    • Miller, L.: Controllability cost of conservative systems : resolvent condition and transmutation. J. Funct. Anal. 218, 425-444 (2005)
    • (2005) J. Funct. Anal. , vol.218 , pp. 425-444
    • Miller, L.1
  • 19
    • 0036202748 scopus 로고    scopus 로고
    • Observability and Control for Schrödinger equations
    • Phung, K.-D.: Observability and Control for Schrödinger equations. SIAM J. Control Optim. 40, 211-230 (2001)
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 211-230
    • Phung, K.-D.1
  • 20
    • 0001279041 scopus 로고    scopus 로고
    • Propagation of singularities and growth for Schrödinger operators
    • Wunsch, J.: Propagation of singularities and growth for Schrödinger operators. Duke Math. J. 98(1), 137-186 (1999)
    • (1999) Duke Math. J. , vol.98 , Issue.1 , pp. 137-186
    • Wunsch, J.1
  • 21
    • 0003138438 scopus 로고
    • Exact controllability for the semilinear wave equation
    • Zuazua, E.: Exact controllability for the semilinear wave equation. J. Math. Pures Appl. 69(1), 33-55 (1990)
    • (1990) J. Math. Pures Appl. , vol.69 , Issue.1 , pp. 33-55
    • Zuazua, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.