Initial behavior of solutions to the Yang–Mills heat equation
Date
2017Author
Charalambous, N.Gross, L.
ISSN
0022-247XSource
Journal of Mathematical Analysis and ApplicationsVolume
451Issue
2Pages
873-905Google Scholar check
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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. © 2017 Elsevier Inc.