메뉴 건너뛰기




Volumn 51, Issue 7, 1998, Pages

L2-Sobolev space bijectivity of the scattering and inverse scattering transforms

(1)  Zhou, Xin a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040113212     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199807)51:7<697::AID-CPA1>3.0.CO;2-1     Document Type: Article
Times cited : (104)

References (12)
  • 3
    • 84990617857 scopus 로고
    • Scattering and inverse scattering for first order systems
    • Beals, R., and Coifman, R. R., Scattering and inverse scattering for first order systems, Comm. Pure Appl. Math. 37, 1984, pp. 39-90.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 39-90
    • Beals, R.1    Coifman, R.R.2
  • 4
    • 0002754832 scopus 로고
    • Inverse scattering and evolution equations
    • Beals, R., and Coifman, R. R., Inverse scattering and evolution equations, Comm. Pure Appl. Math. 38, 1985, pp. 29-42.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 29-42
    • Beals, R.1    Coifman, R.R.2
  • 5
    • 0003225472 scopus 로고
    • Direct and inverse scattering on the line
    • American Mathematical Society, Providence, R.I.
    • Beals, R., Deift, P., and Tomei, C., Direct and Inverse Scattering on the Line, Mathematical Surveys and Monographs No. 28, American Mathematical Society, Providence, R.I., 1988.
    • (1988) Mathematical Surveys and Monographs No. 28 , vol.28
    • Beals, R.1    Deift, P.2    Tomei, C.3
  • 6
    • 0003247674 scopus 로고
    • Factorization of matrix functions and singular integral operators
    • Birkhäuser, Basel-Boston
    • Clancey, K. F., and Gohberg, I., Factorization of Matrix Functions and Singular Integral Operators, Operator Theory: Advances and Applications No. 3, Birkhäuser, Basel-Boston, 1981.
    • (1981) Operator Theory: Advances and Applications No. 3 , vol.3
    • Clancey, K.F.1    Gohberg, I.2
  • 7
    • 0031283604 scopus 로고    scopus 로고
    • Near integrable systems on the line. A case study - Perturbation theory of the defocusing nonlinear Schrödinger equation
    • in press
    • Deift, P., and Zhou, X., Near integrable systems on the line. A case study - Perturbation theory of the defocusing nonlinear Schrödinger equation, Math. Res. Lett., in press.
    • Math. Res. Lett.
    • Deift, P.1    Zhou, X.2
  • 8
    • 0030536485 scopus 로고    scopus 로고
    • The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation
    • Fokas, A. S., and Its, A. R., The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation, SIAM J. Math. Anal. 27(3), 1996, pp. 738-764.
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.3 , pp. 738-764
    • Fokas, A.S.1    Its, A.R.2
  • 10
    • 0002557939 scopus 로고
    • Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
    • Zakharov, V. E., and Shabat, A. B., Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Soviet Physics JETP 34, 1972, pp. 62-69.
    • (1972) Soviet Physics JETP , vol.34 , pp. 62-69
    • Zakharov, V.E.1    Shabat, A.B.2
  • 11
    • 0000509583 scopus 로고
    • The Riemann-Hilbert problem and inverse scattering
    • Zhou, X., The Riemann-Hilbert problem and inverse scattering, SIAM J. Math. Anal. 20, 1989, pp. 966-986.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 966-986
    • Zhou, X.1
  • 12
    • 84990553600 scopus 로고
    • Direct and inverse scattering transforms with arbitrary spectral singularties
    • Zhou, X., Direct and inverse scattering transforms with arbitrary spectral singularties, Comm. Pure Appl. Math. 42, 1989, pp. 895-938.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 895-938
    • Zhou, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.