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Seminar

A two-phase problem with lower dimensional free boundary May 18, 2011 (10:00 AM PDT - 12:00 PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Arshak Petrosyan (Purdue University)
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We will discuss an Alt-Caffarelli-Friedman type variational problem that exhibits a codimension two free boundary. We will show the optimal regularity, nondegeneracy, among other things, as well as a new phenomenon that the positive and negative phases are always separated. We will then discuss the regularity of the free boundary in dimension 3 by using Alexandrov's reflection comparison technique.

Based on a joint work with Mark Allen.

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