On global well-posedness of the modified KdV equation in modulation spaces

Tadahiro Oh, Yuzhao Wang

Type: Preprint

Publication Date: 2018-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.1811.04606

View Publication

Locations

arXiv (Cornell University) - View
Edinburgh Research Explorer (University of Edinburgh) - View - PDF
University of Birmingham Research Portal (University of Birmingham) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	On global well-posedness of the modified KdV equation in modulation spaces	2021	Tadahiro Oh Yuzhao Wang
+	Local Well and Ill Posedness for the Modified KdV Equations in Subcritical Modulation Spaces	2018	Mingjuan Chen Boling Guo
+ PDF Chat	Local well and ill posedness for the modified KdV equations in subcritical modulation spaces	2020	Mingjuan Chen Boling Guo
+	A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces	2020	Andreia Chapouto
+	A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces	2020	Andreia Chapouto
+ PDF Chat	A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces	2021	Andreia Chapouto
+ PDF Chat	Complex-valued solutions of the mKdV equations in generalized Fourier-Lebesgue spaces	2024	Zijun Chen Zihua Guo Chunyan Huang
+	A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces	2019	Andreia Chapouto
+	A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces	2019	Andreia Chapouto
+ PDF Chat	A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier–Lebesgue Spaces	2021	Andreia Chapouto
+ PDF Chat	Global well-posedness and equicontinuity for mKdV in modulation spaces	2024	Saikatul Haque Rowan Killip Monica Vişan Yunfeng Zhang
+	Local well posedness for KdV with data in a subspace of $H^{-1}$ and applications to illposedness theory for KdV and mKdV	2009	Luc Molinet Baoxiang Wang
+	Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces	2020	Tadahiro Oh Yuzhao Wang
+ PDF Chat	On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$	2024	Ryan McConnell Seungly Oh
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	A remark on the well-posedness of the modified KdV equation in $L^2$	2022	Justin Forlano
+	Local (in Space) Regularity for the Complex Modified Korteweg-de Vries Equation	2013	Lizhen Wang Lixin Tian Qingwen Yuan
+	Low regularity bounds for mKdV	2012	Michael Christ Justin Holmer Daniel Tataru
+	Low regularity bounds for mKdV	2012	Michael Christ Justin Holmer Daniel Tataru

Works That Cite This (4)

Action	Title	Year	Authors
+	Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces	2020	Tadahiro Oh Yuzhao Wang
+	Applications to Partial Differential Equations	2020	Árpád Bényi Kasso A. Okoudjou
+	Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$	2020	Benjamin Harrop‐Griffiths Rowan Killip Monica Vişan
+	Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces	2018	Tadahiro Oh Yuzhao Wang

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity	2009	Nobu Kishimoto
+	None	2004	Axel Grünrock
+	On the Cauchy Problem for the Zakharov System	1997	J. Ginibre Yoshio Tsutsumi G. Velo
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Banach spaces related to integrable group representations and their atomic decompositions, I	1989	Hans G. Feichtinger Karlheinz Gröchenig
+ PDF Chat	On the (generalized) Korteweg-de Vries equation	1989	Carlos E. Kenig Gustavo Ponce Luis Vega
+ PDF Chat	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations	2003	Michael Christ J. Colliander T. Tao
+ PDF Chat	Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations	2001	Terence Tao
+	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	Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces	2009	Axel Grünrock Luis Vega