Global well-posedness of the Benjamin-Ono equation in H^1(R)

Terence Tao

Type: Preprint

Publication Date: 2003-01-01

Citations: 28

DOI: https://doi.org/10.48550/arxiv.math/0307289

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+ PDF	Asymptotic stability of solitons for the Benjamin-Ono equation	2009	Carlos E. Kenig Yvan Martel
+ PDF Chat	Complex-valued solutions of the Benjamin-Ono equation	2007	Alexandru D. Ionescu Carlos E. Kenig
+ PDF	Time Local Well-posedness for the Benjamin-Ono Equation with Large Initial Data	2006	Naoyasu Kita Jun-ichi Segata
+ PDF	Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces	2018	Mats Ehrnström Long Pei
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+	Local well-posedness and blow-up in the energy space for a class of $ L^{2} $ critical dispersion generalized Benjamin–Ono equations	2011	Carlos E. Kenig Yvan Martel Luc Robbiano
+ PDF	Ill-posedness results for the (generalized) Benjamin-Ono-Zakharov-Kuznetsov equation	2010	Amin Esfahani Ademir Pastor
+ PDF	Computation of Time-Periodic Solutions of the Benjamin–Ono Equation	2010	David M. Ambrose Jon Wilkening
+ PDF	On the controllability and stabilization of the linearized Benjamin-Ono equation	2005	Felipe Linares Jaime H. Ortega
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Works Cited by This (19)

Action	Title	Year	Authors
+ PDF	On the global well-posedness of the Benjamin-Ono equation	1991	Gustavo Ponce
+ PDF	Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation	2001	Kenji Nakanishi Hideo Takaoka Yoshio Tsutsumi
+ PDF	Smoothing properties of some weak solutions of the Benjamin-Ono equation	1990	Michael M. Tom
+	None	2001	Sergiù Klainerman Igor Rodnianski
+ PDF	Quadratic forms for the 1-D semilinear Schrödinger equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega
+	None	2001	Terence Tao
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+	Ill-Posedness Issues for the Benjamin--Ono and Related Equations	2001	Luc Molinet Jean–Claude Saut Nikolay Tzvetkov
+	Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation	1991	J. Ginibre G. Velo
+	On the cauchy problem for the benjamin-ono equation	1986	Rafael José Iório