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Talk Abstract
Monotonicity formulas and regularity of two-phase free boundary problems

Carlos E. Kenig, University of Chicago

We will discuss monotonicity formulas involving functions with disjoint support. We will concentrate on recent results for solutions to parabolic problems (joint with L.Caffarelli), and for solutions to Poisson equations (joint with L.Caffarelli and D.Jerison), with applications to free boundary problems arising in fluid flows.

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1996-1997 Mathematics in High Performance Computing

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