Instability of solitons for the critical generalized Korteweg—de Vries equation

Yvan Martel, Franck Merle

Type: Article

Publication Date: 2001-04-01

Citations: 155

DOI: https://doi.org/10.1007/pl00001673

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Locations

HAL (Le Centre pour la Communication Scientifique Directe) - View
Geometric and Functional Analysis - View

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+	Geometric Analysis and Nonlinear Partial Differential Equations	1993	I. I︠a︡. Bakelʹman
+	Lyapunov stability of ground states of nonlinear dispersive evolution equations	1986	Michael I. Weinstein
+	Stability and instability of solitary waves of Korteweg-de Vries type	1987	Jerry L. Bona Panagiotis E. Souganidis Walter A. Strauss
+	Uniqueness of Solutions for the Generalized Korteweg–de Vries Equation	1989	J. Ginibre Yoshio Tsutsumi
+	Stability theory of solitary waves in the presence of symmetry, II	1990	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss
+	A Liouville theorem for the critical generalized Korteweg–de Vries equation	2000	Yvan Martel Frank Merle
+	Integrals of nonlinear equations of evolution and solitary waves	1968	Peter D. Lax
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Eigenfunction expansions associated with second-order differential equations	1946	E. C. Titchmarsh