Volume 20, Issue 3
Ricci Flow on Surfaces with Degenerate Initial Metrics

Xiuxiong Chen & Weiyue Ding

J. Part. Diff. Eq., 20 (2007), pp. 193-202.

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  • Abstract

It is proved that given a conformal metric e^{u0}g_0, with e^{u0} ∈ L∞, on a 2-dim closed Riemannian manfold (M, g_0), there exists a unique smooth solution u(t) of the Ricci flow such that u(t) → u_0 in L² as t → 0.

  • AMS Subject Headings

Published online: 2007-08