RICCI FLOW ON SURFACES WITH DEGENERATE INITIAL METRICS

It is proved that given a conformal metric e^u0g₀, with e^u0 ∈ L^∞, on a 2-dim closed Riemannian manfold (M, g₀), there exists a unique smooth solution u(t) of the Ricci flow such that u(t) → u₀ in L² as t → 0.