This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on $(6+1)$ and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space $/dot{H}_A^{(n-4)/{2}}$. Regularity is obtained through a certain "microlocal geometric renormalization" of the equations which is implemented via a family of approximate null Croenstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic $L^p$ spaces, and also proving some bilinear estimates in specially constructed square-function spaces.
格式 PDF ● 网页 99 ● ISBN 9780821898710 ● 出版者 American Mathematical Society ● 下载 3 时 ● 货币 EUR ● ID 6557946 ● 复制保护 Adobe DRM
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