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Volumn 6, Issue 8, 2001, Pages 987-1023

Generic simplicity of the eigenvalues of the stokes system in two space dimensions

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EID: 0009617693     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (28)

References (41)
  • 1
    • 84968483685 scopus 로고
    • Genericity of simple eigenvalues for elliptic pde's
    • J.H. Albert, Genericity of simple eigenvalues for elliptic pde's, Proc. Amer. Math. Soc., 48 (1975), 413]418.
    • (1975) Proc. Amer. Math. Soc. , vol.48 , pp. 413-418
    • Albert, J.H.1
  • 3
    • 0031100298 scopus 로고    scopus 로고
    • The differentiability of the drag with respect to the variations of a Lipschitz domain in a Navier-Stokes flow
    • J.A. Bello, E. Fernández-Cara, J. Lemoine, and J. Simon, The differentiability of the drag with respect to the variations of a Lipschitz domain in a Navier-Stokes flow, SIAM J. Control Optim., 35 (1997), 626-640.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 626-640
    • Bello, J.A.1    Fernández-Cara, E.2    Lemoine, J.3    Simon, J.4
  • 4
    • 0003442989 scopus 로고
    • Analyse Fonctionnelle. Th-eorie et Applications
    • Masson, Paris
    • H. Brezis, "Analyse Fonctionnelle. Th-eorie et Applications," Masson, Paris, 1983.
    • (1983)
    • Brezis, H.1
  • 7
    • 0003074690 scopus 로고
    • Elliptic Boundary Value Problems on Corner Domains
    • Springer-Verlag, Berlin, Heidelberg
    • M. Dauge, "Elliptic Boundary Value Problems on Corner Domains," Lecture Notes in Mathematics, 1341, Springer-Verlag, Berlin, Heidelberg, 1988.
    • (1988) Lecture Notes in Mathematics , vol.1341
    • Dauge, M.1
  • 8
    • 0002307515 scopus 로고
    • Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. Part I: linearized equations
    • M. Dauge, Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. Part I: linearized equations, SIAM J. Math. Anal., 20 (1989), 74-97.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 74-97
    • Dauge, M.1
  • 9
    • 84971109212 scopus 로고
    • Approximate controllability of the semilinear heat equation
    • C. Fabre, J.P. Puel, and E. Zuazua, Approximate controllability of the semilinear heat equation, Proc. Roy. Soc. Edinburgh, 125-A (1995), 31-61.
    • (1995) Proc. Roy. Soc. Edinburgh , vol.125 A , pp. 31-61
    • Fabre, C.1    Puel, J.P.2    Zuazua, E.3
  • 11
    • 0003320921 scopus 로고
    • Elliptic Problems in Nonsmooth Domains
    • Pitman Advanced Publishing Program, Boston
    • P. Grisvard, "Elliptic Problems in Nonsmooth Domains," Monographs and Studies in Mathematics, 24, Pitman Advanced Publishing Program, Boston, 1985.
    • (1985) Monographs and Studies in Mathematics , vol.24
    • Grisvard, P.1
  • 14
    • 0004168443 scopus 로고
    • Cambridge University Press, New York, 6th ed.
    • H. Lamb, "Hydrodynamics," Cambridge University Press, New York, 6th ed., 1993.
    • (1993) Hydrodynamics
    • Lamb, H.1
  • 15
    • 84894459851 scopus 로고
    • Ph.D. Thesis, Universit-e Blaise Pascal, Clermont Ferrand, France
    • J. Lemoine, Ph.D. Thesis, Universit-e Blaise Pascal, Clermont Ferrand, France, 1995.
    • (1995)
    • Lemoine, J.1
  • 17
    • 84894466179 scopus 로고
    • Pointwise control for distributed systems, in Control and Estimation in Distributed Parameter Systems
    • H.T. Banks ed.
    • J.L. Lions, Pointwise control for distributed systems, in "Control and Estimation in Distributed Parameter Systems," SIAM Publications series Frontier in applied mathematics, 11, H.T. Banks ed., 1992.
    • (1992) SIAM Publications series Frontier in applied mathematics , vol.11
    • Lions, J.L.1
  • 19
    • 0001098477 scopus 로고    scopus 로고
    • A generic uniqueness result for the Stokes system and its control theoretical consequences, in "Partial Differential Equations," P. Marcellini, G. Talenti E. Visentini
    • eds.LNPAS
    • J.L. Lions and E. Zuazua, A generic uniqueness result for the Stokes system and its control theoretical consequences, in "Partial Differential Equations," P. Marcellini, G. Talenti, E. Visentini eds., Marcel Dekker Inc., LNPAS 177 (1996), 221-235.
    • (1996) Marcel Dekker Inc. , vol.177 , pp. 221-235
    • Lions, J.L.1    Zuazua, E.2
  • 20
    • 0001106398 scopus 로고
    • Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo
    • A.M. Micheletti, Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo, Ann. Scuola Norm. Sup. Pisa, 26 (1972), 151-169.
    • (1972) Ann. Scuola Norm. Sup. Pisa , vol.26 , pp. 151-169
    • Micheletti, A.M.1
  • 23
    • 85035808024 scopus 로고
    • Etude de problèmes d'optimal design. Proc. of the 7th IFIP Conf
    • J. Cea Ed., Lect. Notes in Comp. Sci., Springer-Verlag
    • F. Murat and J. Simon, Etude de problèmes d'optimal design. Proc. of the 7th IFIP Conf. on Optimization Techniques, J. Cea Ed., Lect. Notes in Comp. Sci., 41, Springer-Verlag (1976), 54-62.
    • (1976) on Optimization Techniques , vol.41 , pp. 54-62
    • Murat, F.1    Simon, J.2
  • 26
    • 0032066391 scopus 로고    scopus 로고
    • Une nouvelle famille de multiplicateurs et ses applications à la contrôlabilit-e exacte des ondes
    • A. Osses, Une nouvelle famille de multiplicateurs et ses applications à la contrôlabilit-e exacte des ondes, C. R. Acad. Sci. Paris, 326 (1998), 1099-1104.
    • (1998) C. R. Acad. Sci. Paris , vol.326 , pp. 1099-1104
    • Osses, A.1
  • 30
    • 0009232430 scopus 로고
    • D-emonstration constructive d'un th-eorème de G. de Rham
    • S-erie I
    • J. Simon, D-emonstration constructive d'un th-eorème de G. de Rham, C. R. Acad. Sci. Paris, S-erie I, 316 (1993), 1167-1172.
    • (1993) C. R. Acad. Sci. Paris , vol.316 , pp. 1167-1172
    • Simon, J.1
  • 31
    • 0001351887 scopus 로고
    • Differentiation with respect to the domain in boundary value problems
    • J. Simon, Differentiation with respect to the domain in boundary value problems, Numer. Func. Anal. Optim., 2 (1980), 649-687.
    • (1980) Numer. Func. Anal. Optim. , vol.2 , pp. 649-687
    • Simon, J.1
  • 32
    • 0004118642 scopus 로고
    • Springer-Verlag, Berlin, Heidelberg
    • M. Struwe, "Variational Methods," Springer-Verlag, Berlin, Heidelberg, 1990.
    • (1990) Variational Methods
    • Struwe, M.1
  • 33
    • 0003972278 scopus 로고
    • On the Theory and Numerical Analysis of the Navier-Stokes Equations
    • University of Maryland
    • R. Temam, "On the Theory and Numerical Analysis of the Navier-Stokes Equations," Lecture Notes 9 , University of Maryland, 1973.
    • (1973) Lecture Notes , vol.9
    • Temam, R.1
  • 36
    • 0001489944 scopus 로고
    • Generic properties of eigenfunctions
    • K. Uhlenbeck, Generic properties of eigenfunctions, American Journal of Mathematics, 98 (4) (1976), 1059-1078.
    • (1976) American Journal of Mathematics , vol.98 , Issue.4 , pp. 1059-1078
    • Uhlenbeck, K.1
  • 40
    • 3042521919 scopus 로고
    • Controlabilidad Exacta y Estabilización de la Ecuación de Ondas
    • Instituto de Matemática, Universidad Federal do Rio de Janeiro
    • E. Zuazua, "Controlabilidad Exacta y Estabilización de la Ecuación de Ondas," Textos de M-etodos Matemáticos 23, Instituto de Matemática, Universidad Federal do Rio de Janeiro, 1990.
    • (1990) Textos de M-etodos Matemáticos , vol.23
    • Zuazua, E.1
  • 41
    • 0031091761 scopus 로고    scopus 로고
    • Finite dimensional null controllability for the semilinear heat equation
    • E. Zuazua, Finite dimensional null controllability for the semilinear heat equation, J. Math. Pures Appl., 76 (1997), 237-264.
    • (1997) J. Math. Pures Appl. , vol.76 , pp. 237-264
    • Zuazua, E.1


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