REMARK ON THE PAPER “SHARP WELL-POSEDNESS AND ILL-POSEDNESS RESULTS FOR A QUADRATIC NON-LINEAR SCHRÖDINGER EQUATION” BY I. BEJENARU AND T. TAO
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T. Tao | I. Bejenaru | I. BEJENARU | T. TAO
[1] Nobu Kishimoto. Local well-posedness for the Cauchy problem of the quadratic Schrödinger equation with nonlinearity $\bar u^2$ , 2008 .
[2] Kenji Nakanishi,et al. Counterexamples to Bilinear Estimates Related with the KDV Equation and the Nonlinear Schrödinger Equation , 2001 .
[3] J. Ginibre,et al. On the Cauchy Problem for the Zakharov System , 1997 .
[4] Luis Vega,et al. On the ill-posedness of some canonical dispersive equations , 2001 .
[5] Terence Tao. Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations , 2000 .
[6] Y. Tsutsumi,et al. Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition , 2004 .
[7] Yi Zhou. Local existence with minimal regularity for nonlinear wave equations , 1997 .
[8] C. Kenig,et al. Bilinear estimates and applications to 2d NLS , 2001 .
[9] Luis Vega,et al. A bilinear estimate with applications to the KdV equation , 1996 .
[10] Thierry Cazenave,et al. The Cauchy problem for the critical nonlinear Schro¨dinger equation in H s , 1990 .
[11] Robert S. Strichartz,et al. Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations , 1977 .
[12] I. Bejenaru,et al. Low regularity solutions for a 2D quadratic non-linear Schr\ , 2006, math/0609241.
[13] Nobu Kishimoto,et al. Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation , 2009 .
[14] Luis Vega,et al. Quadratic forms for the 1-D semilinear Schrödinger equation , 1996 .
[15] J. Bourgain,et al. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations , 1993 .
[16] H. Takaoka. Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity , 1999, Advances in Differential Equations.