Global well-posedness for low regularity data in the 2d modified Zakharov-Kuznetsov equation

Debdeep Bhattacharya, Luiz Gustavo Farah, Svetlana Roudenko

Type: Article

Publication Date: 2019-11-28

Citations: 14

DOI: https://doi.org/10.1016/j.jde.2019.11.092

View Publication

Download PDF

Locations

Journal of Differential Equations - View - PDF
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov-Kuznetsov equation	2020	Debdeep Bhattacharya
+	Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov-Kuznetsov equation	2020	Debdeep Bhattacharya
+	Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation	2009	Felipe Linares Ademir Pastor
+ PDF Chat	On the algebraic lower bound for the radius of spatial analyticity for the Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations	2024	Mikaela Baldasso Mahendra Panthee
+ PDF Chat	Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov–Kuznetsov equation	2021	Debdeep Bhattacharya
+	Well-Posedness for the Two-dimensional Zakharov-Kuznetsov Equation	2018	Minjie Shan
+	Well-posedness Results for the Modified Zakharov-Kuznetsov Equation	2003	H. A. Biagioni Felipe Linares
+ PDF Chat	The existence of strong solutions to the $3D$ Zakharov-Kuznestov equation in a bounded domain	2014	Chuntian Wang
+	A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results	2011	Luiz Gustavo Farah Felipe Linares Ademir Pastor
+	A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results	2011	Luiz Gustavo Farah Felipe Linares Ademir Pastor
+	A Remark on the modified Zakharov-Kuznetsov equation in three space dimensions	2013	Axel Grünrock
+	A Remark on the modified Zakharov-Kuznetsov equation in three space dimensions	2013	Axel Grünrock
+	Well-posedness for the Cauchy problem of the modified Zakharov-Kuznetsov equation	2019	S. Kinoshita
+ PDF Chat	Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function	2024	José M. Palacios
+	Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation on cylindrical spaces	2024	Satoshi Osawa Hideo Takaoka
+	The Existence of Strong Solutions to the 3D Zakharov-Kuznestov Equation in a Bounded Domain	2013	Chuntian Wang
+ PDF Chat	A remark on the well-posedness of the modified KdV equation in <i>L</i><sup>2</sup>	2024	Justin Forlano
+	Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function	2022	José Manuel Palacios
+ PDF Chat	A remark on the modified Zakharov-Kuznetsov equation in three space dimensions	2014	Axel Grünrock
+ PDF Chat	The Zakharov–Kuznetsov equation in high dimensions: small initial data of critical regularity	2021	Sebastian Herr S. Kinoshita

Works That Cite This (14)

Action	Title	Year	Authors
+	The Cauchy problem for the $L^2-$critical generalized Zakharov-Kuznetsov equation in dimension 3	2020	Felipe Linares João P. G. Ramos
+ PDF Chat	Numerical study of soliton stability, resolution and interactions in the 3D Zakharov–Kuznetsov equation	2021	Christian Klein Svetlana Roudenko Nikola Stoilov
+ PDF Chat	Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation	2020	Jorge Drumond Silva Felipe Linares Ademir Pastor
+	Dispersive Blow-up for Solutions of the Zakharov-Kuznetsov equation	2019	Felipe Linares Ademir Pastor Jorge Drumond Silva
+ PDF Chat	Subcritical well-posedness results for the Zakharov–Kuznetsov equation in dimension three and higher	2022	Sebastian Herr S. Kinoshita
+	Initial-boundary value problems on a half-strip for the modified Zakharov–Kuznetsov equation	2020	Andrei V. Faminskii
+	Well-posedness for the Cauchy Problem of the Modified Zakharov-Kuznetsov Equation	2022	S. Kinoshita
+	Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher	2020	Sebastian Herr S. Kinoshita
+ PDF Chat	Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov–Kuznetsov equation	2021	Debdeep Bhattacharya
+	Pointwise convergence and nonlinear smoothing of the generalized Zakharov–Kuznetsov equation	2024	Wei Yan Weimin Wang Xiangqian Yan

Works Cited by This (25)

Action	Title	Year	Authors
+	Well-posedness Results for the Modified Zakharov-Kuznetsov Equation	2003	H. A. Biagioni Felipe Linares
+ PDF Chat	Nonlinear scalar field equations	1992	W. Rother
+	Nonlinear Dispersive Equations	2006	Terence Tao
+	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
+	Global rough solutions to the critical generalized KdV equation	2010	Luiz Gustavo Farah
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong
+	Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation	2009	Felipe Linares Ademir Pastor
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein
+ PDF Chat	Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications	2014	Didier Pilod Luc Molinet