Initial behavior of solutions to the Yang-Mills heat equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Charalambous, Nelia¹  Gross, Leonard² 

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

[2] Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA

关键词: Yang-Mills;    Heat equation;    Weakly parabolic;    Gauge groups;    Gaffney-Friedrichs inequality;    Infinite covariant differentiability;   

DOI  :  10.1016/j.jmaa.2017.02.027

来源: Elsevier

【 摘 要 】

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 A(0) is an element of H-1/2(M) where M is a bounded convex region in R-3 or all of R-3. The behavior, as t down arrow 0, of the L-P(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 H-1 (M) norm of these derivatives. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free