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.
Formatera PDF ● Sidor 99 ● ISBN 9780821898710 ● Utgivare American Mathematical Society ● Nedladdningsbara 3 gånger ● Valuta EUR ● ID 6557946 ● Kopieringsskydd Adobe DRM
Kräver en DRM-kapabel e-läsare