4 papers
Regularity of the free boundary for the supercooled Stefan problem in arbitrary dimensions
Max Engelstein, Inwon Kim, Sebastian Munoz
We study the free boundary in the supercooled Stefan problem, a classical model for the solidification of water below its freezing temperature. In contrast with the melting problem…
On the asymptotic properties of solutions to one-phase free boundary problems
Max Engelstein, Daniel Restrepo, Zihui Zhao
In this article we study the structure of solutions to the one-phase Bernoulli problem that are modeled either infinitesimally or at infinity by one-homogeneous solutions with an i…
Singular set estimates for solutions to elliptic equations in higher co-dimension
Max Engelstein, Cole Jeznach, Yannick Sire
Recent advances in quantitative unique continuation properties for solutions to uniformly elliptic, divergence form equations (with Lipschitz coefficients) has led to a good unders…
Unique continuation for locally uniformly distributed measures
Max Engelstein, Ignasi Guillén-Mola
In this note we show that the support of a locally -uniform measure in satisfies a kind of unique continuation property. As a consequence, we show that locally…