Low regularity for the fifth order Kadomtsev–Petviashvili-I type equation

Boling Guo, Zhaohui Huo, Shaomei Fang

Type: Article

Publication Date: 2017-07-21

Citations: 7

DOI: https://doi.org/10.1016/j.jde.2017.06.032

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Journal of Differential Equations - View

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+ PDF Chat	The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces	2019	Wei Yan Yongsheng Li Jianhua Huang Jinqiao Duan
+ PDF Chat	Low regularity well-posedness for KP-I equations: the dispersion-generalized case	2023	Akansha Sanwal Robert Schippa
+	Global well-posedness of the generalized KP-II equation in anisotropic Sobolev spaces	2017	Wei Yan Yongsheng Li Yimin Zhang
+ PDF Chat	On the Cauchy problem for the periodic fifth-order KP-I equation	2019	Tristan Robert
+	Global well-posedness of the Cauchy problem for a fifth-order KP-I equation in anisotropic Sobolev spaces	2017	Yongsheng Li Wei Yan Yimin Zhang
+	Instability and blow-up of solutions of the fifth-order KP equation	2021	Amin Esfahani Steve Levandosky
+	Local wellposedness of the modified KP-I equations in periodic setting with small initial data	2019	Francisc Bozgan

Works Cited by This (26)

Action	Title	Year	Authors
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Dynamics of two-dimensional solitons in weakly dispersive media	1991	V. I. Karpman V. Yu. Belashov
+ PDF Chat	Inverse scattering for the heat operator and evolutions in 2+1 variables	1987	Mladen Victor Wickerhauser
+	On the Cauchy problem for the Kadomstev-Petviashvili equation	1993	Jean Bourgain
+ PDF Chat	On the local and global well-posedness theory for the KP-I equation	2004	Carlos E. Kenig
+	The Cauchy problem for the Kadomtsev-Petviashvili equation	1990	Andrei V. Faminskii
+	The Cauchy Problem for Higher-Order KP Equations	1999	Jean‐Claude Saut N. Tzvetkov
+	The Cauchy problem for the fifth order KP equations	2000	Jean‐Claude Saut Nikolay Tzvetkov
+	Oscillatory Solitary Waves in Dispersive Media	1972	Takuji Kawahara
+	Transverse stability of Kawahara solitons	1993	V. I. Karpman