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Volumn 54, Issue 5, 2001, Pages 537-582

An additional Gibbs' state for the cubic Schrödinger equation on the circle

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EID: 0035583897     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.2     Document Type: Article
Times cited : (10)

References (10)
  • 1
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    • Nonlinear differential-difference equations and Fourier analysis
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    • (1976) J. Mathematical Phys. , vol.17 , Issue.6 , pp. 1011-1018
    • Ablowitz, M.J.1    Ladik, J.F.2
  • 2
    • 21844511925 scopus 로고
    • Periodic nonlinear Schrödinger equation and invariant measures
    • Bourgain, J. Periodic nonlinear Schrödinger equation and invariant measures. Comm Math Phys. 166 (1994), no. 1, 1-26.
    • (1994) Comm. Math Phys. , vol.166 , Issue.1 , pp. 1-26
    • Bourgain, J.1
  • 3
    • 0003230767 scopus 로고    scopus 로고
    • Global solutions of nonlinear Schrödinger equations
    • American Mathematical Society, Providence, R.I.
    • Bourgain, J. Global solutions of nonlinear Schrödinger equations. American Mathematical Society Colloquium Publications, 46. American Mathematical Society, Providence, R.I., 1999.
    • (1999) American Mathematical Society Colloquium Publications , vol.46
    • Bourgain, J.1
  • 4
    • 0001997040 scopus 로고    scopus 로고
    • Symplectic forms in the theory of solitons
    • Surveys in differential geometry: integral systems / lectures on geometry and topology, sponsored by Lehigh University's Journal of differential geometry, International Press, Cambridge, Mass.
    • Krichever, I. M.; Phong, D. H. Symplectic forms in the theory of solitons. Surveys in differential geometry: integral systems / lectures on geometry and topology, sponsored by Lehigh University's Journal of differential geometry, 239-313. Surveys in Differential Geometry, 4. International Press, Cambridge, Mass., 1998.
    • (1998) Surveys in Differential Geometry , vol.4 , pp. 239-313
    • Krichever, I.M.1    Phong, D.H.2
  • 5
    • 0003329017 scopus 로고
    • Stochastic flows and stochastic differential equations
    • Cambridge University Press, Cambridge
    • Kunita, H. Stochastic flows and stochastic differential equations. Cambridge Studies in Advanced Mathematics, 24. Cambridge University Press, Cambridge, 1990.
    • (1990) Cambridge Studies in Advanced Mathematics , vol.24
    • Kunita, H.1
  • 6
    • 21844524171 scopus 로고
    • Statistical mechanics of nonlinear wave equations. IV. Cubic Schrödinger
    • Erratum: "Statistical mechanics of nonlinear wave equations. IV. Cubic Schrödinger." Comm. Math. Phys. 173 (1995), no. 3, 675
    • McKean, H. P. Statistical mechanics of nonlinear wave equations. IV. Cubic Schrödinger. Comm. Math. Phys. 168 (1995), no. 3, 479-491. Erratum: "Statistical mechanics of nonlinear wave equations. IV. Cubic Schrödinger." Comm. Math. Phys. 173 (1995), no. 3, 675.
    • (1995) Comm. Math. Phys. , vol.168 , Issue.3 , pp. 479-491
    • McKean, H.P.1
  • 7
    • 0040758102 scopus 로고    scopus 로고
    • Action-angle variables for the cubic Schrödinger equation
    • McKean, H. P.; Vaninsky, K. L. Action-angle variables for the cubic Schrödinger equation. Comm. Pure Appl. Math. 50 (1997), no. 6, 489-562.
    • (1997) Comm. Pure Appl. Math. , vol.50 , Issue.6 , pp. 489-562
    • McKean, H.P.1    Vaninsky, K.L.2
  • 8
    • 0031506106 scopus 로고    scopus 로고
    • Cubic Schrödinger: The petit canonical ensemble in action-angle variables
    • McKean, H. P.; Vaninsky, K. L. Cubic Schrödinger: the petit canonical ensemble in action-angle variables. Comm. Pure Appl. Math. 50 (1997), no. 7, 593-622.
    • (1997) Comm. Pure Appl. Math. , vol.50 , Issue.7 , pp. 593-622
    • McKean, H.P.1    Vaninsky, K.L.2
  • 10
    • 0040728625 scopus 로고    scopus 로고
    • On space-time properties of solutions for nonlinear evolutionary equations with random initial date
    • Vaninsky, K. L. On space-time properties of solutions for nonlinear evolutionary equations with random initial date. Revista de Matemática: Theoria y Aplicaciones 3 (1996), 11-20.
    • (1996) Revista de Matemática: Theoria y Aplicaciones , vol.3 , pp. 11-20
    • Vaninsky, K.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.