Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation

Kenji Nakanishi, Hideo Takaoka, Yoshio Tsutsumi

Type: Article

Publication Date: 2001-01-01

Citations: 49

DOI: https://doi.org/10.4310/maa.2001.v8.n4.a7

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Methods and Applications of Analysis - View - PDF

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+	ON THE COUPLED SYSTEM OF NONLINEAR WAVE EQUATIONS WITH DIFFERENT PROPAGATION SPEEDS	2000	Tohru Ozawa Kimitoshi Tsutaya Yoshio Tsutsumi
+	A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations	1993	Hans Lindblad
+	Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension	1982	Jeffrey Rauch Michael C. Reed
+	Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data	1998	Marcus Keel Terence Tao
+ PDF Chat	Quadratic forms for the 1-D semilinear Schrödinger equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	On the Cauchy Problem for the Zakharov System	1997	J. Ginibre Yoshio Tsutsumi G. Velo
+	On the cauchy problem for kadomtsev-petviashvili equation	1999	Nickolay Tzvetkov
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon