Published February 1982 | Version v1
Journal article

Connections with Lsup(P) bounds on curvature

  • 1. Illinois Univ., Chicago (USA). Dept. of Mathematics

Description

We show by means of the implicit function theorem that Coulomb gauges exist for fields over a bal in Rsup(n) when the integral Lsup(n/2) field norm is sufficiently small. We then are able to prove a weak compactness theorem for fields on compact manifolds with Lsup(n) integral norms bounded, p > n/2. (orig.)

Additional details

Publishing Information

Journal Title
Commun. Math. Phys.
Journal Volume
83
Journal Issue
1
Series
Commun. Math. Phys.
Journal Page Range
31-42
ISSN
0010-3616