Seminar
Parent Program: | -- |
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Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
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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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