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Volumn 16, Issue 1, 2009, Pages 111-120

On ill-posedness for the one-dimensional periodic cubic schrodinger equation

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EID: 64549129977     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2009.v16.n1.a11     Document Type: Article
Times cited : (56)

References (10)
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    • (1981) Stud. Appl. Math , vol.65 , pp. 113-158
    • Ablowitz, M.1    Ma, Y.2
  • 2
    • 32544461477 scopus 로고    scopus 로고
    • Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation
    • I. Bejenaru and T. Tao, Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation, J. Funct. Anal. 233 (2006) 228-259.
    • (2006) J. Funct. Anal , vol.233 , pp. 228-259
    • Bejenaru, I.1    Tao, T.2
  • 3
    • 0000710855 scopus 로고
    • Fourier transform restriction phenomena for certain lattice subsets and application to nonlinear evolution equations I. The Schrödinger equation
    • J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and application to nonlinear evolution equations I. The Schrödinger equation, GAFA 3 (1993) 157-178.
    • (1993) GAFA , vol.3 , pp. 157-178
    • Bourgain, J.1
  • 4
    • 0000044382 scopus 로고
    • Periodic Korteweg de Vries equation with measures as initial data
    • - ,Periodic Korteweg de Vries equation with measures as initial data, Sel. Math. New. Ser. 3 (1993) 115-159.
    • (1993) Sel. Math. New. Ser , vol.3 , pp. 115-159
  • 6
    • 0348218177 scopus 로고    scopus 로고
    • Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
    • M. Christ, J. Colliander, and T. Tao, Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations, Amer. J. Math. 125 (2003), no. 6, 1235-1293.
    • (2003) Amer. J. Math , vol.125 , Issue.6 , pp. 1235-1293
    • Christ, M.1    Colliander, J.2    Tao, T.3
  • 9
    • 0001442617 scopus 로고    scopus 로고
    • On the ill-posedness of some canonical dispersive equations
    • C. E. Kenig, G. Ponce, and L. Vega, On the ill-posedness of some canonical dispersive equations, Duke Math. J. 106 (2001), no. 3, 617-633.
    • (2001) Duke Math. J , vol.106 , Issue.3 , pp. 617-633
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.