Contents Online
Dynamics of Partial Differential Equations
Volume 4 (2007)
Number 4
Exotic nonlinear analysis, part 3: Yang-Mills quantum fields
Pages: 303 – 334
DOI: https://dx.doi.org/10.4310/DPDE.2007.v4.n4.a2
Author
Abstract
We generalize the inverse function theorem to show the existence of an infinity of smooth classical symmetric Yang-Mills gauge fields and of some particular kinds of super-symmetric Yang-Mills gauge fields in a smooth 3-dimensional compact manifold with boundary for any finite interval of time or in whole R4.
Keywords
inverse function theorem, Yang-Mills gauge fields
2010 Mathematics Subject Classification
35-xx, 46-xx, 81-xx
Published 1 January 2007