Global existence of small amplitude solutions to nonlinear klein‐gordon equations in four space‐time dimensions

Sergiù Klainerman

Type: Article

Publication Date: 1985-09-01

Citations: 259

DOI: https://doi.org/10.1002/cpa.3160380512

View Publication

Locations

Communications on Pure and Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Global, small amplitude solutions to nonlinear evolution equations	1983	Sergiù Klainerman Gustavo Ponce
+ PDF Chat	The global existence of small-amplitude solutions to nonlinear Klein-Gordon equations: A study based on S. Klainerman's approach	2024	Alessandro Massaad
+	Global existence of small amplitude solutions for the Klein-Gordon-Zakharov equations	1994	Kimitoshi Tsutaya
+ PDF Chat	Global existence of small amplitude solutions for the Klein-Gordon-Zakharov equations	1996	Kimitoshi Tsutaya
+	Global small amplitude solutions to systems of nonlinear Klein-Gordon equations with several mass terms (非線型双曲型方程式系の解の挙動に関する研究短期共同研究報告集)	2003	秀明砂川
+ PDF Chat	Non-existence of global solutions of a class of coupled non-linear Klein-Gordon equations with non-negative potentials and arbitrary initial energy	2009	Y. Wang
+	Global Existence and Dispersion of Solutions to Nonlinear Klein-Gordon Equations with Potential /	2014	Chad Thornton Wildman
+ PDF Chat	A note on global existence of solutions to nonlinear Klein-Gordon equations in one space dimension	1999	Soichiro Katayama
+	Global small solutions to Klein–Gordon-type equations with non-local non-linearities	1999	Emanuele Callegari Renato Manfrin
+	Global Existence of Small Solutions for Cubic Quasi-linear Klein-Gordon Systems in One Space Dimension	2006	Dao Yuan Fang Ying Ying Xue
+	Global existence of large amplitude solutions for Dirac-Klein-Gordon systems in Minkowski space	1989	Alain Bachelot
+	Global Existence of Small Amplitude Solutions to Nonlinear Klein-Gordon Equations in Four Space-Time Dimensions	1987	Sergiù Klainerman
+	Global existence and asymptotic behavior of solutions for the Klein–Gordon equations with quadratic nonlinearity in two space dimensions	1996	Tohru Ozawa Kimitoshi Tsutaya Yoshio Tsutsumi
+	Global existence of small solutions for quadratic quasilinear Klein–Gordon systems in two space dimensions	2004	Jean-Marc Delort Daoyuan Fang Ruying Xue
+	Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions	1996	Tohru Ozawa Kimitoshi Tsutaya Yoshio Tsutsumi
+	Global Existence of Small Solutions for Cubic Quasi–linear Klein–Gordon Systems in One Space Dimension	2006	Dao Yuan Fang Ru Ying Xue
+	Global well-posedness in energy space of small amplitude solutions for klein-gordon-zakharov equation in three space dimension	2016	Zhaohui Huo
+	Global existence and nonexistence of solutions for a klein-gordon equation with exponential type nonlinear term	2020	Hatice Taşkesen
+	Global solutions of non-linear wave-Klein-Gordon system in two space dimension: semi-linear interactions	2017	Yue Ma
+	Global Existence for a Class of System of Nonlinear Wave and Klein-Gordon Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)	2018	Soichiro Katayama

Works That Cite This (246)

Action	Title	Year	Authors
+ PDF Chat	The Euler–Maxwell System for Electrons: Global Solutions in 2D	2017	Yu Deng Alexandru D. Ionescu Benoît Pausader
+	Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions	2020	Satoshi Masaki Jun-ichi Segata Kota Uriya
+ PDF Chat	Local smooth solutions of the nonlinear Klein-gordon equation	2020	Thierry Cazenave Ivan Naumkin
+ PDF Chat	Global solution to the wave and Klein-Gordon system under null condition in dimension two	2021	Shijie Dong
+	Formation of singularity for the classical solutions of the rotating shallow water system	2022	Yupei Huang Chunjing Xie
+ PDF Chat	Variational methods in relativistic quantum mechanics	2008	Maria J. Esteban Mathieu Lewin Éric Séré
+ PDF Chat	The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution	2012	Alexandru D. Ionescu Benoît Pausader
+	Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations	1996	Maria J. Esteban Vladimir Georgiev Éric Séré
+	Équations d'ondes quasilinéaires et estimations de Strichartz	1999	Hajer Bahouri Jean-Yves Chemin
+ PDF Chat	Global Solution for Massive Maxwell‐Klein‐Gordon Equations	2019	Sergiù Klainerman Qian Janice Wang Shiwu Yang

Works Cited by This (6)

Action	Title	Year	Authors
+	Global existence for nonlinear wave equations	1980	Sergiù Klainerman
+	Blow‐up for quasi‐linear wave equations in three space dimensions	1981	Fritz John
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman
+	L p-Decay rates for homogeneous wave-equations	1971	Wolf von Wahl
+	Almost global existence to nonlinear wave equations in three space dimensions	1984	Franklin John Sergiù Klainerman
+	Normal forms and quadratic nonlinear Klein‐Gordon equations	1985	Jalal Shatah