Lectures on Mean Curvature Flows

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Well-posedness of stochastic partial differential equations with Lyapunov condition (2013, unknown): “[38,42]).”
Hyperbolic Mean Curvature Flow (2010, unknown): “1 can be found in Zhu [16].”
Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity (2009, background): “Set C k = ∂T k and consider a positive sequence ǫ k such that This smooth deformation can be achieved by letting C k evolve under the mean-curvature ﬂow during a very short time, see [22] for the smoothing aspects and [25, 43] for the positive curvature results.”
Complete self-shrinkers of the mean curvature flow (2012, unknown): “1 [27, 42] For each sequence τj → ∞ there is a subsequence τjk such that M̃(·, τjk) converges smoothly to an immersed nonempty limiting surface M̃∞.”