23 citations · 125 across the 24 of their papers we have counts for
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math.AP2013★ 16 cited
A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows
Yuanzhen Shao
It is the purpose of this article to establish a technical tool to study regularity of solutions to parabolic equations on manifolds. As applications of this technique, we prove th…
math.AP2013★ 19 cited
Continuous maximal regularity on uniformly regular Riemannian manifolds
Yuanzhen Shao, Gieri Simonett
We establish continuous maximal regularity results for parabolic differential operators acting on sections of tensor bundles on Riemannian manifolds. As an application, we show tha…
math.AP2013★ 3 cited
Real Analytic Solutions to the Willmore Flow
Yuanzhen Shao
In this paper, a regularity result for the Willmore flow is presented. It is established by means of a truncated translation technique in conjunction with the Implicit Function The…