... α, and φ2,α.Proofs of the Schauder estimates may be found in Chapter IV of [L] andin Chapters 3 and 4 of [F]. A short, elementary proof of a much more generalform of the Schauder estimates ... K2,α(Mi, 0) = 1.Annals of Mathematics A local regularity theorem for mean curvature flow By Brian White A LOCAL REGULARITY THEOREM1505As before, this implies that(9) d(Mi, Ui) ... the notation indicates, the limit isindependent of X.Analogous, slightly weaker statements are true for related flows (as in§§4, 5, and 6 of this paper), as well as for proper mean curvature...