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Volumn 16, Issue 2, 2010, Pages 163-188

Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers

Author keywords

Boundary stabilization; Multiplier method; Wave equation

Indexed keywords

ACTIVE PARTS; BOUNDARY STABILIZATION; GEOMETRICAL CONDITIONS; MIXED BOUNDARY CONDITION; MULTIPLIER METHOD; MULTIPLIER METHODS; NEUMANN BOUNDARY;

EID: 77954762179     PISSN: 10792724     EISSN: 15738698     Source Type: Journal    
DOI: 10.1007/s10883-010-9088-6     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 84858397787 scopus 로고
    • Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
    • H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. Math. Stud. 5 (1973).
    • (1973) Math. Stud. , vol.5
    • Brézis, H.1
  • 2
    • 38249022567 scopus 로고
    • On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary
    • J. Banasiak and G.-F. Roach, On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary. J. Differ. Equations 79 (1989), No. 1, 111-131.
    • (1989) J. Differ. Equations , vol.79 , Issue.1 , pp. 111-131
    • Banasiak, J.1    Roach, G.-F.2
  • 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 (1992), No. 5, 1024-1065.
    • (1992) SIAM J. Control Optim. , vol.30 , Issue.5 , pp. 1024-1065
    • Bardos, C.1    Lebeau, G.2    Rauch, J.3
  • 4
    • 0033544718 scopus 로고    scopus 로고
    • Singularities of the solution of a mixed problem for a general second order elliptic equation and boundary stabilization of the wave equation
    • R. Bey, J.-P. Lohéac, and M. Moussaoui, Singularities of the solution of a mixed problem for a general second order elliptic equation and boundary stabilization of the wave equation. J. Math. Pures Appl. 78 (1999), 1043-1067.
    • (1999) J. Math. Pures Appl. , vol.78 , pp. 1043-1067
    • Bey, R.1    Lohéac, J.-P.2    Moussaoui, M.3
  • 5
    • 0027624551 scopus 로고
    • Decay of solutions of the wave equation in a star-shaped domain with nonlinear boundary feedback
    • F. Conrad and B. Rao, Decay of solutions of the wave equation in a star-shaped domain with nonlinear boundary feedback. Asympt. Anal. 7 (1993), No. 1, 159-177.
    • (1993) Asympt. Anal. , vol.7 , Issue.1 , pp. 159-177
    • Conrad, F.1    Rao, B.2
  • 7
    • 0000326783 scopus 로고
    • Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités
    • -, Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. J. Math. Pures Appl. 68 (1989), 215-259.
    • (1989) J. Math. Pures Appl. , vol.68 , pp. 215-259
  • 8
    • 0001490384 scopus 로고
    • Observabilité frontière de l'équation des ondes
    • L. F. Ho, Observabilité frontière de l'équation des ondes. C. R. Acad. Sci. Paris, Sér. I Math. 302 (1986), 443-446.
    • (1986) C. R. Acad. Sci. Paris, Sér. I Math. , vol.302 , pp. 443-446
    • Ho, L.F.1
  • 9
    • 0003258319 scopus 로고
    • Exact controllability and stabilization
    • Masson-John Wiley, Paris
    • V. Komornik, Exact controllability and stabilization. The multiplier method. Masson-John Wiley, Paris (1994).
    • (1994) The Multiplier Method
    • Komornik, V.1
  • 10
    • 0001885577 scopus 로고
    • A direct method for the boundary stabilization of the wave equation
    • V. Komornik and E. Zuazua, A direct method for the boundary stabilization of the wave equation. J. Math. Pures Appl. 69 (1990), 33-54.
    • (1990) J. Math. Pures Appl. , vol.69 , pp. 33-54
    • Komornik, V.1    Zuazua, E.2
  • 13
    • 0009075516 scopus 로고    scopus 로고
    • Singularit́es des solutions du problème mêlé, contrôlabilité exacte et stabilisation frontière
    • Huitièmes Entretiens du Centre Jacques Cartier
    • M. Moussaoui, Singularit́es des solutions du problème mêlé, contrôlabilité exacte et stabilisation frontière. ESAIM Proc. Élasticité, Viscoé lasticité et Contrôle Optimal, Huitièmes Entretiens du Centre Jacques Cartier (1996), 157-168.
    • (1996) ESAIM Proc. Élasticité, Viscoélasticité et Contrôle Optimal , pp. 157-168
    • Moussaoui, M.1
  • 15
    • 0036294936 scopus 로고    scopus 로고
    • A rotated multiplier applied to the controllability of waves, elasticity and tangential Stokes control
    • A. Osses, A rotated multiplier applied to the controllability of waves, elasticity and tangential Stokes control. SIAM J. Control Optim. 40 (2001), No. 3, 777-800.
    • (2001) SIAM J. Control Optim. , vol.40 , Issue.3 , pp. 777-800
    • Osses, A.1
  • 16
    • 0000494186 scopus 로고
    • Darstellung der Eigenwerte von Δu + λu durch ein Randintegral
    • F. Rellich, Darstellung der Eigenwerte von Δu + λu durch ein Randintegral. Math. Z. 46 (1940), 635-636.
    • (1940) Math. Z. , vol.46 , pp. 635-636
    • Rellich, F.1
  • 17
    • 51649184864 scopus 로고
    • Regularity of mixed second order elliptic problems
    • E. Shamir, Regularity of mixed second order elliptic problems. Isr. Math. J. 6 (1968), 150-168.
    • (1968) Isr. Math. J. , vol.6 , pp. 150-168
    • Shamir, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.