TY - JOUR T1 - Ricci Flow on Surfaces with Degenerate Initial Metrics AU - Xiuxiong Chen & Weiyue Ding JO - Journal of Partial Differential Equations VL - 3 SP - 193 EP - 202 PY - 2007 DA - 2007/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5302.html KW - Ricci flows KW - degenerate metrics on surfaces AB -

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.