Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

Michael Christ, J. Colliander, Terence Tao

Type: Preprint

Publication Date: 2002-01-01

Citations: 17

DOI: https://doi.org/10.48550/arxiv.math/0203044

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arXiv (Cornell University) - View
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+ PDF	Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation	2001	Kenji Nakanishi Hideo Takaoka Yoshio Tsutsumi
+	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 Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud
+	Asymptotic solutions and conservation laws for the nonlinear Schrödinger equation. I	1976	Harvey Segur Mark J. Ablowitz
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Existence and uniqueness of solutions for the generalized Korteweg de Vries equation	1990	J. Ginibre Yasumasa Tsutsumi G. Velo
+	Quelques généralisations de l'équation de Korteweg-de Vries, II	1979	Jean–Claude Saut
+	A note on Miura’s transformation	1979	Mark J. Ablowitz Martin D. Kruskal Harvey Segur
+	On wave equations with supercritical nonlinearities	2000	Philip Brenner Peter Kumlin
+	On the Korteweg-de Vries equation	1979	Tosio Kato