Counterexamples to Bilinear Estimates Related with the KDV Equation and the Nonlinear Schrödinger Equation
暂无分享,去创建一个
[1] T. Sideris,et al. Local regularity of nonlinear wave equations in three space dimensions , 1993 .
[2] Luis Vega,et al. A bilinear estimate with applications to the KdV equation , 1996 .
[3] J. Bourgain,et al. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations , 1993 .
[4] J. Bourgain,et al. On wellposedness of the Zakharov system , 1996 .
[5] Luis Vega,et al. The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices , 1993 .
[6] J. Ginibre,et al. On the Cauchy Problem for the Zakharov System , 1997 .
[7] S. Klainerman,et al. Smoothing estimates for null forms and applications , 1995 .
[8] M. Reed,et al. Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension , 1982 .
[9] H. Takaoka,et al. On the local regularity of the Kadomtsev-Petviashvili-II equation , 2001 .
[10] M. Machedon,et al. Estimates for null forms and the spaces H { s ,δ} , 1996 .
[11] Robert S. Strichartz,et al. Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations , 1977 .
[12] Hans Lindblad. A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations , 1993 .
[13] Nickolay Tzvetkov. On the cauchy problem for kadomtsev-petviashvili equation , 1999 .
[14] Gustavo Ponce,et al. Interaction Equations for Short and Long Dispersive Waves , 1998 .
[15] T. Ozawa,et al. ON THE COUPLED SYSTEM OF NONLINEAR WAVE EQUATIONS WITH DIFFERENT PROPAGATION SPEEDS , 2000 .
[16] Hans Lindblad. Counterexamples to local existence for semi-linear wave equations , 1996 .
[17] Luis Vega,et al. Quadratic forms for the 1-D semilinear Schrödinger equation , 1996 .
[18] Yi Zhou. Local existence with minimal regularity for nonlinear wave equations , 1997 .
[19] Sergiu Klainerman,et al. Space-time estimates for null forms and the local existence theorem , 1993 .
[20] Terence Tao,et al. Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data , 1998 .
[21] Tohru Ozawa,et al. Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions , 1999 .
[22] D. Tataru. Local and global results for wave maps I , 1998 .