Regularity of the free boundary for the two-phase Bernoulli problem

Regularity of the free boundary for the two-phase Bernoulli problem

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Guido De Philippis, Courant Institute

Please note that this seminar will take place online via Zoom. You can connect to this seminar via the following link:

https://princeton.zoom.us/j/594605776

 

I will illustrate  a recent result obtained in collaboration with  L. Spolaor and B. Velichkov  concerning the regularity of the free boundaries in the two phase Bernoulli problems. The new main point is the analysis of the free boundary close to branch points, where we show that it is given by the union of two C^1 graphs. This complete the analysis started by Alt Caffarelli Friedman in the 80’s.