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Volumn 233, Issue 1, 2006, Pages 228-259

Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation

Author keywords

Ill posedness; Nonlinear Schr dinger equation; Picard iteration method; Xs,b spaces

Indexed keywords


EID: 32544461477     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2005.08.004     Document Type: Article
Times cited : (207)

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    • Cazenave, T.1    Weissler, F.B.2
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    • preprint
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    • Christ, M.1    Colliander, J.2    Tao, T.3
  • 5
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    • Quadratic forms for the 1-D semilinear Schrödinger equation
    • C. Kenig G. Ponce L. Vega Quadratic forms for the 1-D semilinear Schrödinger equation Trans. Amer. Math. Soc. 346 1996 3323-3353
    • (1996) Trans. Amer. Math. Soc. , vol.346 , pp. 3323-3353
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 6
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    • On the ill-posedness of some canonical dispersive equations
    • C. Kenig G. Ponce L. Vega On the ill-posedness of some canonical dispersive equations Duke Math. J. 106 2001 617-633
    • (2001) Duke Math. J. , vol.106 , pp. 617-633
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 7
    • 6344281096 scopus 로고    scopus 로고
    • The initial value problem for the 1-D semilinear Schrödinger equation in Besov spaces
    • T. Muramatu S. Taoka The initial value problem for the 1-D semilinear Schrödinger equation in Besov spaces J. Math. Soc. Japan 56 3 2004 853-888
    • (2004) J. Math. Soc. Japan , vol.56 , Issue.3 , pp. 853-888
    • Muramatu, T.1    Taoka, S.2
  • 8
    • 0345781102 scopus 로고    scopus 로고
    • Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation
    • K. Nakanishi H. Takaoka Y. Tsutsumi Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation Methods Appl. Anal. 8 2001 569-578
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    • Nakanishi, K.1    Takaoka, H.2    Tsutsumi, Y.3
  • 9
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    • Local and global results for wave maps I
    • D. Tataru Local and global results for wave maps I Comm. Partial Differential Equations 23 1998 1781-1793
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    • Tataru, D.1
  • 10
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    • 2 solutions for nonlinear Schrodinger equations and nonlinear groups
    • 2 solutions for nonlinear Schrodinger equations and nonlinear groups Funk. Ekva. 30 1987 115-125
    • (1987) Funk. Ekva. , vol.30 , pp. 115-125
    • Tsutsumi, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.