Initial behavior of solutions to the Yang-Mills heat equation
Mathematical Physics
2016-09-20 v1 Analysis of PDEs
math.MP
Abstract
We explore the small-time behavior of solutions to the Yang-Mills heat equation with rough initial data. We consider solutions with initial value , where is a bounded convex region in or all of . The behavior, as , of the norms of the time derivatives of and its curvature will be determined for and , along with the norm of these derivatives.
Keywords
Cite
@article{arxiv.1609.05607,
title = {Initial behavior of solutions to the Yang-Mills heat equation},
author = {Nelia Charalambous and Leonard Gross},
journal= {arXiv preprint arXiv:1609.05607},
year = {2016}
}
Comments
46 pages