Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774998 | Journal of Mathematical Analysis and Applications | 2017 | 33 Pages |
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 A0âH1/2(M), where M is a bounded convex region in R3 or all of R3. The behavior, as tâ0, 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nelia Charalambous, Leonard Gross,