Article ID Journal Published Year Pages File Type
5774998 Journal of Mathematical Analysis and Applications 2017 33 Pages PDF
Abstract
We explore the small-time behavior of solutions to the Yang-Mills heat equation with rough initial data. We consider solutions A(t) with initial value A0∈H1/2(M), where M is a bounded convex region in R3 or all of R3. The behavior, as t↓0, of the Lp(M) norms of the time derivatives of A(t) and its curvature B(t) will be determined for p=2 and 6, along with the H1(M) norm of these derivatives.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,