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Volumn 4, Issue 2, 2007, Pages 233-257

On the global existence of rough solutions of the cubic defocusing Schrödinger equation in r2+1

Author keywords

Conservation laws; Correlation estimates; L method; Strichartz estimates

Indexed keywords


EID: 34249851961     PISSN: 02198916     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219891607001161     Document Type: Article
Times cited : (30)

References (12)
  • 2
    • 0000193318 scopus 로고    scopus 로고
    • Refinements of Strichartzs' inequality and applications to 2D-NLS with critical nonlinearity
    • J. Bourgain, Refinements of Strichartzs' inequality and applications to 2D-NLS with critical nonlinearity, Int. Math. Res. Not. (1998).
    • (1998) Int. Math. Res
    • Bourgain, J.1
  • 4
    • 0001072134 scopus 로고
    • Commutateurs d'integrales singulieres et operateurs multilineaires
    • R. Coifman and Y. Meyer, Commutateurs d'integrales singulieres et operateurs multilineaires, Ann. Inst. Fourier (Grenoble) 28 (1978) 177-202.
    • (1978) Ann. Inst. Fourier (Grenoble) , vol.28 , pp. 177-202
    • Coifman, R.1    Meyer, Y.2
  • 5
    • 0013354946 scopus 로고    scopus 로고
    • Almost conservation laws and global rough solutions to a nonlinear Schrodinger equation
    • preprint
    • J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao, Almost conservation laws and global rough solutions to a nonlinear Schrodinger equation, preprint.
    • Colliander, J.1    Keel, M.2    Staffilani, G.3    Takaoka, H.4    Tao, T.5
  • 10
    • 34249851772 scopus 로고    scopus 로고
    • 2-critical nonlinear Schrödinger equation in R, submitted for publication
    • preprint, math.AP/0702707
    • 2-critical nonlinear Schrödinger equation in R, submitted for publication, preprint, math.AP/0702707.
    • De Silva, D.1    Pavlovic, N.2    Staffilani, G.3    Tzirakis, N.4
  • 11
    • 0000320001 scopus 로고
    • Decay and scattering of solutions of a nonlinear Schrodinger equation
    • J. Lin and W. Strauss, Decay and scattering of solutions of a nonlinear Schrodinger equation, J. Funct. Anal. 30 (1978) 245-263.
    • (1978) J. Funct. Anal , vol.30 , pp. 245-263
    • Lin, J.1    Strauss, W.2
  • 12
    • 0035486554 scopus 로고    scopus 로고
    • 2 functions and applications to nonlinear dispersive equations
    • 2 functions and applications to nonlinear dispersive equations, Amer. J. Math. 123 (2001) 839-908.
    • (2001) Amer. J. Math , vol.123 , pp. 839-908
    • Tao, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.