TY - JOUR
T1 - LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG-MILLS EQUATIONS
AU - Fang, Yung Fu
N1 - Publisher Copyright:
© 2005 World Scientific Publishing Company.
PY - 2005/3/1
Y1 - 2005/3/1
N2 - In this work we are concerned with a local existence of certain semi-linear wave equations for which the initial data has minimal regularity. Assuming the initial data are in H1+ and H for any> 0, we prove a local result by using a fixed point argument, the main ingredient being an a priori estimate for the quadratic nonlinear term uDu. The technique applies to the Yang-Mills equations in the Lorentz gauge.
AB - In this work we are concerned with a local existence of certain semi-linear wave equations for which the initial data has minimal regularity. Assuming the initial data are in H1+ and H for any> 0, we prove a local result by using a fixed point argument, the main ingredient being an a priori estimate for the quadratic nonlinear term uDu. The technique applies to the Yang-Mills equations in the Lorentz gauge.
UR - https://www.scopus.com/pages/publications/85189292456
UR - https://www.scopus.com/pages/publications/85189292456#tab=citedBy
U2 - 10.1142/S0219891605000373
DO - 10.1142/S0219891605000373
M3 - Article
AN - SCOPUS:85189292456
SN - 0219-8916
VL - 2
SP - 61
EP - 76
JO - Journal of Hyperbolic Differential Equations
JF - Journal of Hyperbolic Differential Equations
IS - 1
ER -