TY - JOUR
T1 - Low regularity for the nonlinear Klein-Gordon systems
AU - Yuan, Jia
AU - Zhang, Junyong
PY - 2009/1/15
Y1 - 2009/1/15
N2 - In this paper, we study the global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon system in R3. We prove the Hs-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon system. The method invoked is different from the well-known Bourgain's method [Jean Bourgain, Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, International Mathematial Research Notices 5 (1998) 253-283].
AB - In this paper, we study the global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon system in R3. We prove the Hs-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon system. The method invoked is different from the well-known Bourgain's method [Jean Bourgain, Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, International Mathematial Research Notices 5 (1998) 253-283].
KW - Bony's decomposition
KW - Klein-Gordon equations system
KW - Low regularity
KW - Well-posedness
UR - http://www.scopus.com/inward/record.url?scp=56049112158&partnerID=8YFLogxK
U2 - 10.1016/j.na.2008.01.026
DO - 10.1016/j.na.2008.01.026
M3 - Article
AN - SCOPUS:56049112158
SN - 0362-546X
VL - 70
SP - 982
EP - 998
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 2
ER -