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Volumn 181, Issue 1, 1997, Pages 1-55

On the Korteweg-de Vries equation: Frequencies and initial value problem

(3)  Battig D a   Kappeler, T a   Mityagin, B a  

a NONE

Author keywords

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Indexed keywords


EID: 0001778712     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1997.181.1     Document Type: Article
Times cited : (12)

References (16)
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    • On the symplectic structure of the phase space for periodic KdV, Toda and defocusing NLS
    • D. Bättig, A. Bloch, J.C. Guillot and T. Kappeler, On the symplectic structure of the phase space for periodic KdV, Toda and defocusing NLS, Duke Math. J., 79 (1995), 549-604.
    • (1995) Duke Math. J. , vol.79 , pp. 549-604
    • Bättig, D.1    Bloch, A.2    Guillot, J.C.3    Kappeler, T.4
  • 2
    • 85033113330 scopus 로고    scopus 로고
    • On the Korteweg de Vries equation: Convergent Birkhoff normal form
    • D. Bättig, T. Kappeler and B. Mityagin, On the Korteweg de Vries equation: Convergent Birkhoff normal form, to appear in J.of Funct. Anal.
    • J.of Funct. Anal.
    • Bättig, D.1    Kappeler, T.2    Mityagin, B.3
  • 3
    • 0009303159 scopus 로고
    • Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, part II: KdV-equation
    • J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, part II: KdV-equation, GAFA, 3 (1993), 209-262.
    • (1993) GAFA , vol.3 , pp. 209-262
    • Bourgain, J.1
  • 4
    • 85033114849 scopus 로고    scopus 로고
    • private communication
    • J. Bourgain, private communication.
    • Bourgain, J.1
  • 5
    • 0000534537 scopus 로고
    • Integrable systems I
    • ed. V.I. Arnold, S.P. Novikov, Eneyl. of Math. Sci., Springer Verlag
    • B.A. Dubrovnin, I.M. Krichever and S.P. Novikov, in Integrable systems I, Dynamical Systems IV, ed. V.I. Arnold, S.P. Novikov, Eneyl. of Math. Sci., Springer Verlag, 1990.
    • (1990) Dynamical Systems IV
    • Dubrovnin, B.A.1    Krichever, I.M.2    Novikov, S.P.3
  • 6
    • 0001155544 scopus 로고
    • Geometry of KdV(4). Abel sums, Jacobi variety and theta function in the scattering case
    • N. Ercolani and H.P. McKean, Geometry of KdV(4). Abel sums, Jacobi variety and theta function in the scattering case, Invent. Math., 99 (1990), 483-544.
    • (1990) Invent. Math , vol.99 , pp. 483-544
    • Ercolani, N.1    McKean, H.P.2
  • 8
    • 84980178052 scopus 로고
    • Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation
    • H. Flaschka, M.G. Forest and D. McLaughlin, Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation, CPAM, 33 (1980), 739-784.
    • (1980) CPAM , vol.33 , pp. 739-784
    • Flaschka, H.1    Forest, M.G.2    McLaughlin, D.3
  • 10
    • 0000928116 scopus 로고
    • Foliation of the phase space for the Korteweg-de Vries equation
    • T. Kappeler, Foliation of the phase space for the Korteweg-de Vries equation, Ann. Inst. Fourier, 41 (1991), 539-575.
    • (1991) Ann. Inst. Fourier , vol.41 , pp. 539-575
    • Kappeler, T.1
  • 12
    • 0001253693 scopus 로고
    • The spectrum of Hill's operator
    • H.P. McKean and P. van Moerbeke The spectrum of Hill's operator, Invent. Math., 30 (1975), 217-274.
    • (1975) Invent. Math , vol.30 , pp. 217-274
    • McKean, H.P.1    Van Moerbeke, P.2
  • 13
    • 84980167496 scopus 로고
    • Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
    • H. P. McKean and E. Trubowitz, Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points, CPAM, 24 (1976), 143-226.
    • (1976) CPAM , vol.24 , pp. 143-226
    • McKean, H.P.1    Trubowitz, E.2
  • 14
    • 0000581658 scopus 로고
    • Hill's surfaces and their theta functions
    • _, Hill's surfaces and their theta functions, Bull. A.M.S., 84 (1978), 1042-1085.
    • (1978) Bull. A.M.S. , vol.84 , pp. 1042-1085


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.