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Volumn 360, Issue 11, 2008, Pages 5805-5830

Low regularity solutions for a 2D quadratic nonlinear Schrödinger equation

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EID: 67650165479     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-08-04415-2     Document Type: Article
Times cited : (19)

References (14)
  • 1
    • 32544461477 scopus 로고    scopus 로고
    • Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrodinger equation
    • MR2204680 (2007i:35216)
    • I. Bejenaru, T. Tao, Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrodinger equation, J. of Func. Anal. vol. 233, issue 1, pp. 228-259. MR2204680 (2007i:35216)
    • J. of Func. Anal. , vol.233 , Issue.1 , pp. 228-259
    • Bejenaru, I.1    Tao, T.2
  • 3
    • 0030158684 scopus 로고    scopus 로고
    • On the ill-posedness ofthe IVP for the generalized Korteweg-de Vries and nonlinear Schrodinger equations
    • MR1396718 (97d:35233)
    • B. Birnir, C. Kenig, G. Ponce, N. Svanstedt, L. Vega, On the ill-posedness ofthe IVP for the generalized Korteweg-de Vries and nonlinear Schrodinger equations, J. London Math. Soc. (2) 53 (1996), 551-559. MR1396718 (97d:35233)
    • (1996) J. London Math. Soc. (2) , vol.53 , pp. 551-559
    • Birnir, B.1    Kenig, C.2    Ponce, G.3    Svanstedt, N.4    Vega, L.5
  • 4
    • 34250084341 scopus 로고
    • Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Part i
    • MR1209299 (95d:35160a)
    • J. Bourgain, Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Part I, Geometric and Funct. Anal. 3 (1993), 107-156. MR1209299 (95d:35160a)
    • (1993) Geometric and Funct. Anal. , vol.3 , pp. 107-156
    • Bourgain, J.1
  • 5
    • 23244446904 scopus 로고
    • The Cauchy problem for the critical nonlinear Schrodinger equa-tion
    • MR1055532 (91j:35252)
    • T. Cazenave, F.B. Weissler, The Cauchy problem for the critical nonlinear Schrodinger equa-tion, Non. Anal. TMA 14 (1990), 807-836. MR1055532 (91j:35252)
    • (1990) Non. Anal. TMA , vol.14 , pp. 807-836
    • Cazenave, T.1    Weissler, F.B.2
  • 8
    • 33645897344 scopus 로고    scopus 로고
    • Quadratic forms for the 1-D semilinear Schrodinger equation
    • MR1357398 (96j:35233)
    • C. Kenig, G. Ponce, L. Vega, Quadratic forms for the 1-D semilinear Schrodinger equation, Trans. Amer. Math. Soc. 346 (1996), 3323-3353. MR1357398 (96j:35233)
    • (1996) Trans. Amer. Math. Soc. , vol.346 , pp. 3323-3353
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 9
    • 0001442617 scopus 로고    scopus 로고
    • On the ill-posedness of some canonical dispersive equations
    • MR1813239 (2002c:35265)
    • C. Kenig, G. Ponce, L. Vega, On the ill-posedness of some canonical dispersive equations, Duke Math. J. 106 (2001), 617-633. MR1813239 (2002c:35265)
    • (2001) Duke Math. J. , vol.106 , pp. 617-633
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 10
    • 6344281096 scopus 로고    scopus 로고
    • The initial value problem for the 1-D semilinear Schrodinger equation in Besov spaces
    • MR2071676 (2005h:35325)
    • T. Muramatu, S. Taoka, The initial value problem for the 1-D semilinear Schrodinger equation in Besov spaces, J. Math. Soc. Japan 56 (2004), no. 3, 853-888. MR2071676 (2005h:35325)
    • (2004) J. Math. Soc. Japan , vol.56 , Issue.3 , pp. 853-888
    • Muramatu, T.1    Taoka, S.2
  • 11
    • 0345781102 scopus 로고    scopus 로고
    • Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schroodinger equation
    • MR1944182 (2004c:35364)
    • K. Nakanishi, H. Takaoka, Y. Tsutsumi, Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schroodinger equation, Methods and Applications of Analysis 8 (2001), 569-578. MR1944182 (2004c:35364)
    • (2001) Methods and Applications of Analysis , vol.8 , pp. 569-578
    • Nakanishi, K.1    Takaoka, H.2    Tsutsumi, Y.3
  • 12
    • 0000312262 scopus 로고    scopus 로고
    • Local and global results for wave maps i
    • MR1641721 (99j:58209)
    • D. Tataru, Local and global results for wave maps I, Comm. PDE 23 (1998), 1781-1793. MR1641721 (99j:58209)
    • (1998) Comm. PDE , vol.23 , pp. 1781-1793
    • Tataru, D.1
  • 13
    • 0035486554 scopus 로고    scopus 로고
    • Multilinear weighted convolution of L? functions, and applications to nonlinear dispersive equations
    • MR1854113 (2002k:35283)
    • T. Tao, Multilinear weighted convolution of L? functions, and applications to nonlinear dispersive equations, Amer. J. Math. 123 (2001), no. 5, 839-908. MR1854113 (2002k:35283)
    • (2001) Amer. J. Math. , vol.123 , Issue.5 , pp. 839-908
    • Tao, T.1
  • 14
    • 0000237067 scopus 로고
    • L? solutions for nonlinear Schrodinger equations and nonlinear groups
    • MR915266 (89c:35143)
    • Y. Tsutsumi, L? solutions for nonlinear Schrodinger equations and nonlinear groups, Funk. Ekva. 30 (1987), 115-125. MR915266 (89c:35143)
    • (1987) Funk. Ekva. , vol.30 , pp. 115-125
    • Tsutsumi, Y.1


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