Sharp parabolic regularity and geometric flows on singular spaces

Mazzeo, Rafe

Journées équations aux dérivées partielles (2015), article no. 6, 11 p.

This is a brief survey about regularity expansions for solutions of elliptic and parabolic problems on spaces with conic singularities. The results themselves are closely related to classical results about elliptic boundary problems, and analogues of these are expected to hold on quite general stratified spaces with incomplete iterated edge metrics. The emphasis here is on the interpretation and application of these expansions to geometric problems.

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