Rough solutions of the fifth-order KdV equations

Zihua Guo, Chulkwang Kwak, Soonsik Kwon

Type: Article

Publication Date: 2013-08-27

Citations: 31

DOI: https://doi.org/10.1016/j.jfa.2013.08.010

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Locations

arXiv (Cornell University) - View - PDF
Journal of Functional Analysis - View

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+ PDF Chat	On the extension of the frequency maps of the KdV and the KdV2 equations	2016	Thomas Kappeler Jan-Cornelius Molnar
+	Local well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity	2019	Hayato Miyazaki
+ PDF Chat	Control and stabilization of the periodic fifth order Korteweg-de Vries equation	2018	Cynthia Flores Derek L. Smith
+ PDF Chat	Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition	2024	Takamori Kato Kotaro Tsugawa
+	On the wellposedness of the KdV/KdV2 equations and their frequency maps	2017	Jan-Cornelius Molnar Thomas Kappeler
+	Local well-posedness for the fifth-order KdV equations on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">T</mml:mi></mml:math>	2016	Chulkwang Kwak
+	Decay properties for solutions of fifth order nonlinear dispersive equations	2014	Pedro Isaza Felipe Linares Gustavo Ponce
+	Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term	2020	Deqin Zhou
+ PDF Chat	The Cauchy problem for the seventh-order dispersive equation in Sobolev space	2014	Hongjun Wang Yan Zheng
+ PDF Chat	Local and global well-posedness for dispersion generalized Benjamin–Ono equations on the circle	2020	Robert Schippa

Works Cited by This (29)

Action	Title	Year	Authors
+	Nonlinear Dispersive Equations	2006	Terence Tao
+	On the Hierarchy of the Generalized KdV Equations	1994	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Uniform well-posedness and inviscid limit for the Benjamin–Ono–Burgers equation	2011	Zihua Guo Lizhong Peng Baoxiang Wang Yuzhao Wang
+	Scattering for the quartic generalised Korteweg–de Vries equation	2006	Terence Tao
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon
+ PDF Chat	Low regularity solutions of two fifth-order KDV type equations	2009	Wengu Chen Junfeng Li Changxing Miao Jiahong Wu
+	Globalwell-posedness and I method for the fifth order Korteweg-de Vries equation	2011	Wengu Chen Zihua Guo
+	Lax Pairs and Higher Order Models for Water Waves	1993	Gustavo Ponce
+	On the Benney–Lin and Kawahara Equations	1997	H. A. Biagioni Felipe Linares
+	On the Cauchy problem for higher-order nonlinear dispersive equations	2008	Didier Pilod