On well-posedness and wave operator for the gKdV equation

Luiz Gustavo Farah, Ademir Pastor

Type: Article

Publication Date: 2012-04-25

Citations: 14

DOI: https://doi.org/10.1016/j.bulsci.2012.04.002

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Locations

Bulletin des Sciences Mathématiques - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	The Cauchy problem for the generalized Ostrovsky equation with negative dispersion	2022	Xiangqian Yan Wei Yan
+ PDF Chat	The generalized Korteweg-de Vries equation with time oscillating nonlinearity in scale critical Sobolev space	2016	Jun-ichi Segata K Watanabe
+ PDF Chat	Long time behavior of solutions to the mKdV	2015	Benjamin Harrop‐Griffiths
+ PDF Chat	Large data scattering for the defocusing supercritical generalized KdV equation	2018	Luiz Gustavo Farah Felipe Linares Ademir Pastor Nicola Visciglia
+	Large data scattering for the defocusing supercritical generalized KdV equation	2017	Luiz Gustavo Farah Felipe Linares Ademir Pastor Nicola Visciglia
+ PDF Chat	Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KDV equations	2018	Luiz Gustavo Farah Brian Pigott
+ PDF Chat	Small Data Scattering for the Global Solutions of the Supercritical Generalized KdV Equation	2024	Xiaoya Tang Shanshan Zheng
+ PDF Chat	On the lack of compactness and existence of maximizers for some Airy-Strichartz inequalities	2018	Luiz Gustavo Farah Henrique Versieux
+	Supercritical Zakharov–Kuznetsov equation posed on bounded rectangles	2021	M. Castelli Gleb G. Doronin
+	Quasilinear dynamics of KdV-type equations	2015	Benjamin Harrop‐Griffiths

Works Cited by This (9)

Action	Title	Year	Authors
+	On the Cauchy Problem for the Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud
+	Long range scattering for some Schr"odinger related nonlinear systems	2004	J. Ginibre G. Velo
+	Large data asymptotic behaviour for the generalized Boussinesq equation	2008	Luiz Gustavo Farah
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+ PDF Chat	Large data wave operator for the generalized Korteweg-de Vries equations	2006	Raphaël Côte
+	On the existence of the wave operators for a class of nonlinear Schrödinger equations	1994	J. Ginibre Tohru Ozawa G. Velo
+	On the Ill-Posedness of the IVP for the Generalized Korteweg-De Vries and Nonlinear Schrödinger Equations	1996	Björn Birnir Carlos E. Kenig Gustavo Ponce Nils Svanstedt Luis Vega
+ PDF Chat	The supercritical generalized KdV equation: Global well-posedness in the energy space and below	2011	Luiz Gustavo Farah Felipe Linares Ademir Pastor
+	On the concentration of blow up solutions for the generalized KdV equation critical in 𝐿²	2000	Carlos E. Kenig Gustavo Ponce Luis Vega