Well-posedness of KdV with higher dispersion

Jennifer Gorsky, A. Alexandrou Himonas

Type: Article

Publication Date: 2009-06-19

Citations: 26

DOI: https://doi.org/10.1016/j.matcom.2009.06.007

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Locations

Mathematics and Computers in Simulation - View

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+ PDF Chat	On the control issues for higher-order nonlinear dispersive equations on the circle	2022	Roberto de A. Capistrano–Filho Chulkwang Kwak Francisco J. Vielma Leal
+	Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval	2022	Mayuran Sriskandasingam Shu-Ming Sun Bing‐Yu Zhang
+	Well-posedness issues on the periodic modified Kawahara equation	2019	Chulkwang Kwak
+ PDF Chat	Control and Stabilization of High-Order KdV Equation Posed on the Periodic Domain	2018	Zhao Xiangqing and Bai Meng
+ PDF Chat	Local well-posedness for the periodic higher order KdV type equations	2011	Hiroyuki Hirayama
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+	The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces	2013	Jennifer Gorsky A. Alexandrou Himonas Curtis Holliman Gerson Petronilho
+ PDF Chat	Well-posedness issues on the periodic modified Kawahara equation	2019	Chulkwang Kwak
+	Well-posedness and ill-posedness of KdV equation with higher dispersion	2014	Li Yin Wei Yan

Works Cited by This (11)

Action	Title	Year	Authors
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	The Cauchy problem for the generalized Korteweg-de-Vries equation	2006	J. Ginibre
+	On the Cauchy Problem for the Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud
+	Existence and uniqueness of solutions for the generalized Korteweg de Vries equation	1990	J. Ginibre Yasumasa Tsutsumi G. Velo
+	On the Korteweg-de Vries equation: Existence and uniqueness	1970	Anders Sjöberg
+	Remarks on the Korteweg-de Vries equation	1976	Jean‐Claude Saut Roger Témam
+	Well-Posedness of the Cauchy Problem for a Shallow Water Equation on the Circle	2000	A. Alexandrou Himonas Gerard Misiołek
+	The initial-value problem for the Korteweg-de Vries equation	1975	Jerry L. Bona R. Jeffrey Smith
+ PDF Chat	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain