<lift:loc locid="stock.discuss"></lift:loc>
Regularity of the level set flow
We showed earlier that the level set function of a monotonic advancing front is twice differentiable everywhere with bounded second derivative. We show here that the second derivative is continuous if and only if the flow has a single singular time where it becomes extinct and the singular set consists of a closed $C^1$ manifold with cylindrical singularities.
  • Pls. be polite and constructive.
  • You can input La|TeX for math formulas. E.g. $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$
  • Any attachment files should still be uploaded to arXiv.org