2014/10/13 by Stephen J. Kleene, Kleene, Stephen J.
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1410.3183
We construct minimal laminations with prescribed singularities on a line segment using perturbation techniques and PDE methods. In addition to the singular set, the rate of curvature blowup is also prescribable in our construction, and we show that all curvature blowup rates between quadratic and quartic arise. Our result generalizes an earlier result of the author and of Hoffman and White.