Scattering and Blow-up for the Focusing Nonlinear Klein–Gordon Equation with Complex-Valued Data

Takahisa Inui

Type: Article

Publication Date: 2016-07-15

Citations: 4

DOI: https://doi.org/10.1007/s00023-016-0510-9

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Annales Henri Poincaré - View

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Action	Title	Year	Authors
+	Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions	2020	Xing Cheng Zihua Guo Satoshi Masaki
+	Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension	2022	Yifei Wu
+ PDF Chat	Scattering for the Mass-Critical Nonlinear Klein–Gordon Equations in Three and Higher Dimensions	2023	Xing Cheng Zihua Guo Satoshi Masaki
+ PDF Chat	Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited	2020	Zihua Guo Jia Shen

Works Cited by This (31)

Action	Title	Year	Authors
+	Invariant Manifolds and Dispersive Hamiltonian Evolution Equations	2011	Kenji Nakanishi Wilhelm Schlag
+ PDF Chat	Concentration Compactness for Critical Wave Maps	2012	Joachim Krieger Wilhelm Schlag
+	Blow-up of H1 solution for the nonlinear Schrödinger equation	1991	Takayoshi Ogawa Yoshio Tsutsumi
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong
+	Strong Instability of Standing Waves for the Nonlinear Klein–Gordon Equation and the Klein–Gordon–Zakharov System	2007	Masahito Ohta Grozdena Todorova
+	Global dynamics below the ground state energy for the Zakharov system in the 3D radial case	2013	Zihua Guo Kenji Nakanishi Shuxia Wang
+	On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations	1985	Philip Brenner
+ PDF Chat	Divergence of Infinite-Variance Nonradial Solutions to the 3D NLS Equation	2010	Justin Holmer Svetlana Roudenko
+ PDF Chat	Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations	2001	Kenji Nakanishi
+ PDF Chat	A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation	2008	Justin Holmer Svetlana Roudenko