LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG–MILLS EQUATIONS

Yung-Fu Fang

Type: Article

Publication Date: 2005-03-01

Citations: 2

DOI: https://doi.org/10.1142/s0219891605000373

View Publication

Locations

Journal of Hyperbolic Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	Global existence for quasilinear wave equations close to Schwarzschild	2016	Hans Lindblad Mihai Tohaneanu
+	Global existence for quasilinear wave equations close to Schwarzschild	2016	Hans Lindblad Mihai Tohaneanu
+ PDF Chat	Global existence for quasilinear wave equations close to Schwarzschild	2018	Hans Lindblad Mihai Tohaneanu
+	Almost global existence for semilinear wave equations with mixed nonlinearities in four space dimensions	2017	Chengbo Wang Hao Zhou
+	Local existence and estimations for a semilinear wave equation in two dimension space	2004	Amel Atallah Baraket
+ PDF Chat	Semi-linear wave equations	1992	Michaël Struwe
+	The semilinear wave equation on asymptotically euclidean manifolds	2008	Jean‐François Bony Dietrich Häfner
+	Semilinear wave equations	1992	Michaël Struwe
+ PDF Chat	Semilinear wave equations	2000	Jalal Shatah Michaël Struwe
+ PDF Chat	Global existence problems for non-linear critical evolution equations with small initial data and semi-classical analysis	2018	Annalaura Stingo
+ PDF Chat	Global Existence for Some 4-D Quasilinear Wave Equations with Low Regularity	2017	Meng Yun Liu Chengbo Wang
+ PDF Chat	On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹	1999	Sergiù Klainerman Daniel Tataru
+ PDF Chat	Stability of a coupled wave-Klein–Gordon system with non-compactly supported initial data	2024	Qian Zhang
+	Global existence for some 4-D quasilinear wave equations with low regularity	2017	Mengyun Liu Chengbo Wang
+ PDF Chat	A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations	2002	Serge Alinhac
+	Local energy decay for linear wave equations with non‐compactly supported initial data	2004	Ryo Ikehata
+	Global Existence Theorem for Semilinear Wave Equations with Non-compact Data in Two Space Dimensions	1993	Kimitoshi Tsutaya
+	Global Regularity and Scattering for General Non-Linear Wave Equations II. (4+1) Dimensional Yang--Mills Equations in the Lorentz Gauge	2004	Jacob Sterbenz
+ PDF Chat	The Semilinear Wave Equation on Asymptotically Euclidean Manifolds	2009	Jean-François Bony Dietrich Häfner
+	Stability of a coupled wave-Klein-Gordon system with non-compactly supported initial data	2023	Qian Zhang

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	On the Dirac-Klein-Gordon equations in one space dimension	2004	Yung-Fu Fang
+ PDF Chat	A CRITICAL CASE ON THE DIRAC-KLEIN-GORDON EQUATIONS IN ONE SPACE DIMENSION	2008	Yung-Fu Fang Hsiu-Chuan Huang

Works Cited by This (16)

Action	Title	Year	Authors
+	A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations	1993	Hans Lindblad
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger
+	The cauchy problem for the Yang-Mills equations	1979	I. E. Segal
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+ PDF Chat	The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge	1981	J. Ginibre G. Velo
+	Finite Energy Solutions of the Yang-Mills Equations in ℝ 3+1	1995	Sergiù Klainerman Matei Machedon
+ PDF Chat	Decay of classical Yang-Mills fields	1979	Robert T. Glassey Walter A. Strauss
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein
+	Local regularity of nonlinear wave equations in three space dimensions	1993	Gustavo Ponce Thomas C. Sideris